{"as_of":"2026-08-10T14:18:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:49110ff9d4cc1533f291ef7e3da233c0440dbb24d86e6c70d8c21270a5606831","coverage":[{"denominator":76,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":76,"source":"paper_references, paper_reference_links","source_observed_at":"2026-05-21T00:33:24.397186Z","state":"measured"},{"denominator":77,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":77,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-01T16:10:28.436000Z","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":[{"citation":{"cited_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2604.14346","snapshot_observed_at":"2026-08-01T16:10:28.436000Z","title":"Fluctuations for the T oda lattice","venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2607.18104","last_updated":"2026-07-20T16:04:11Z","snapshot_observed_at":"2026-08-08T06:55:34.850771Z","submitted_at":"2026-07-20T16:04:11Z","title":"Periodic directed landscape","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-01T16:10:28.436000Z"},"links":{"cited_paper":"/paper/2604.14346","citing_paper":"/paper/2607.18104"},"observation_digest":"sha256:9478bc182572750b7b529563d2217a694fae492e6abdde56f6f9e4c7a0099566","observation_id":"bd277797-564c-41e1-8664-ddec39257a93","resolution":{"observed_at":"2026-08-01T16:10:28.436000Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2604.14346/citation-record","integrity":"/paper/2604.14346/integrity","json":"/paper/2604.14346/citation-record.json","paper":"/paper/2604.14346"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"2503.08018","last_updated":"2026-04-12T20:35:53Z","snapshot_observed_at":"2026-08-09T19:34:09.588500Z","submitted_at":"2025-03-11T03:53:38Z","title":"Asymptotic Scattering Relation for the Toda Lattice","version":4},"cited_work":{"arxiv_id":"2503.08018","doi":null,"metadata_source":"pith","pith_arxiv_id":"2503.08018","snapshot_observed_at":"2026-07-02T01:46:26.483547Z","title":"Asymptotic Scattering Relation for the Toda Lattice","venue":"math-ph","work_id":"4465b756-227e-4039-98d2-ea4f7974a030","year":2025},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"cited_paper":"/paper/2503.08018","citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:ed462eea86d51cb84ac815c4cb1ffdff3841c22094ccf6f44c61c3aac02f30fa","observation_id":"f44bb508-78ce-4913-9b47-d2a519ff1259","resolution":{"observed_at":"2026-05-21T00:33:52.577676Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2503.11407","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Aggarwal","venue":null,"work_id":"55c7a4c0-9272-4e40-a798-c1173ed49db4","year":2025},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:beeb0be104d849decaf23cfed06825325e5b072f1b05858cc9a1402d0345ac37","observation_id":"5119a18f-d43f-4701-9c46-3e04a862af6d","resolution":{"observed_at":"2026-05-21T00:33:52.574686Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Allez, J.-P","venue":null,"work_id":"b38d7a77-cdd7-4a51-a42f-94510ccc9400","year":2012},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:60e54b9835f13ff5b01e1ce622db9a03bff418fb33987b42af498f1d99d3f8bc","observation_id":"842d25eb-e4c6-49af-8b84-27acefcc2eba","resolution":{"observed_at":"2026-05-21T00:33:52.994195Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Berthet and D","venue":null,"work_id":"c5085ae9-a060-4ba7-b209-cf9ea1db99dd","year":2006},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:5bf0a2914c9a8ae51caa5dfdfd7c99d52e558a305d979b2813f70633bfa617ae","observation_id":"ac026625-e5c1-47d0-ad39-3ec89c28322a","resolution":{"observed_at":"2026-05-21T00:33:52.991867Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bertini, M","venue":null,"work_id":"1c0c41e1-a091-417d-b710-2447c2eb026c","year":2016},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:21320bb050453b28253192e81d7c31d53d1b31a62443723bf3edcbcdd65bc1bf","observation_id":"35cb59dc-22c7-4352-a9c3-9a3c4bdc5e4a","resolution":{"observed_at":"2026-05-21T00:33:52.989925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bhatia.Matrix Analysis, volume 169 ofGraduate Texts in Mathematics","venue":null,"work_id":"8784e63b-1447-4e30-ab4c-4e72d00e8761","year":1997},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:c700f75e33d9822b779f17954fe7152974571baa622b03ce1e4cad5462c03a47","observation_id":"19412ae2-53c8-4656-a7a1-9d3a62799a5d","resolution":{"observed_at":"2026-05-21T00:33:52.987541Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bloch, F","venue":null,"work_id":"c6f77cd4-a175-4c25-9ec4-58ee9dd0fd9b","year":2003},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:3534534a09201e831e4579a6aed3844024a79e96af07bd1cb5cfd058897df010","observation_id":"5881c943-1cff-4577-a019-fe5cc671887a","resolution":{"observed_at":"2026-05-21T00:33:52.980447Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bodineau, I","venue":null,"work_id":"6800630f-a758-4720-b7ce-5dcf0bd56284","year":2016},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:84205f620e35e79924a4c8185fc5573669c42e38695845ebc6d1b406fcc091f7","observation_id":"f8f3d7fc-e1b3-460a-8a89-b163f093acf3","resolution":{"observed_at":"2026-05-21T00:33:52.976169Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bodineau, I","venue":null,"work_id":"c2308a46-cca5-4bcb-a495-39d7098f42fe","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:17e10672a49a74501ffd38f161edca7c52a47aaccf9b219baa81906e36a936ed","observation_id":"164ff757-42c3-4a5b-8284-e7db649dba5b","resolution":{"observed_at":"2026-05-21T00:33:52.972052Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bodineau, I","venue":null,"work_id":"66fc7efd-68a2-4b7d-a83a-9e3f5b387685","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:7e6c13f25586cff5a3818c67555ff3a2f6938e5385ee4617bfec8cb14680f379","observation_id":"69709899-b05b-4e10-9b82-d43bfb0384ae","resolution":{"observed_at":"2026-05-21T00:33:52.974140Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Bodineau, I","venue":null,"work_id":"f1e75208-90f9-4b41-8823-a9f8fddf6463","year":2024},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:b3dc4db5fcec77c7b11cf3c101385dd7808b10030a99afb96cf5c8577dc59f68","observation_id":"db930e3f-e535-445e-871b-9ee1722381de","resolution":{"observed_at":"2026-05-21T00:33:52.963011Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Boldrighini, R","venue":null,"work_id":"9a25049a-c45c-4fe5-a704-5129dcd8680c","year":1983},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:5e95f332503cce0a0b34b91571a1c0aef0a878ed5aa9f47bb520abb2243355bc","observation_id":"7ac6c01c-0423-4469-b34d-7f3cfd4a226c","resolution":{"observed_at":"2026-05-21T00:33:52.965245Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Navier-Stokes cor- rection","venue":null,"work_id":"27fc1a3d-444e-4a6a-b6ef-e07944ccd50c","year":1997},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:98877f684c2792b31dd4994c6f50a7fa7639e67b10ecb022aa4563c0f0a7ea0f","observation_id":"84866892-9cc5-44f5-8416-77bba81f5df3","resolution":{"observed_at":"2026-05-21T00:33:52.960847Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f995b266-ab13-4f54-b030-3ca1ff1e14ec","year":2016},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:1fe38398bc15aed83195e0e974036ee8d4c6143de5411cb567d5b6a6a21b62e4","observation_id":"77e05b40-63d3-4cad-beb3-088b97549fa9","resolution":{"observed_at":"2026-05-21T00:33:52.958575Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a7491220-8b3c-4b6d-9b80-2e14103db46e","year":1957},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:392abe331699d9ed0a8d3f30c45f4f480f62c3f1e8435919232e9328f433e4e2","observation_id":"af55ec9b-bc86-4153-86f5-73196eec2149","resolution":{"observed_at":"2026-05-21T00:33:52.953178Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"5a632a55-b019-43fa-a7fe-e2eb543e70be","year":2012},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:e0826afdbe5c4c0e339d1114718b1a0e30be9c6eb2d1de05e39fc99605eb1c9b","observation_id":"5ec21aed-d55a-48b5-a3fd-161d98ae8c4c","resolution":{"observed_at":"2026-05-21T00:33:52.950200Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"e87dd7e0-1f2d-404d-9b70-696a6b9c12e9","year":2021},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:52260af33dee0555d5fece07214f0a260a061e8bb392da944207e93da17e3d39","observation_id":"007ed210-f991-499a-b5d4-c5eb1983f8e6","resolution":{"observed_at":"2026-05-21T00:33:52.945104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"De Nardis, D","venue":null,"work_id":"fd3bc9b9-f826-427c-ad3e-407fa735a651","year":2018},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:e7c917d05a9b1ec4c4b4c09dda7ea9f35b3150114ca495338a58bb20b19200ab","observation_id":"b264392d-940c-4166-9531-2b177bb2661c","resolution":{"observed_at":"2026-05-21T00:33:52.942957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"De Nardis, D","venue":null,"work_id":"79d8faeb-e267-4544-8732-5785ec8219bc","year":2019},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:dae0615b15dc2e7f968613d15afb08b134ba6393a32ae25c3fff24c1e2c8cf6b","observation_id":"81a0d7c8-2aad-42f8-827c-3d9799cecd21","resolution":{"observed_at":"2026-05-21T00:33:52.940481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Deift, S","venue":null,"work_id":"0b1d40a0-8646-46b3-bc8c-0399a7eea202","year":1996},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:3a32b52ada1324a724f44bf613e5ae7a5eef17bca51d124c6b9605e6e7ae0a3f","observation_id":"949b963b-9245-4fc7-ab96-18768d6f50a4","resolution":{"observed_at":"2026-05-21T00:33:52.984730Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Deift and K","venue":null,"work_id":"6e795e76-6e58-4210-b03e-1b22dadd615d","year":1998},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:5e6fae1f4e06dbcb1ae3038762b161206072d820949aa73ce4cb9b504b95b18c","observation_id":"de2f6213-e537-45e7-a5c1-ac6066971dd0","resolution":{"observed_at":"2026-05-21T00:33:52.937406Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Diederich","venue":null,"work_id":"a57d5bf5-62aa-47ba-a126-9a8d9414ea14","year":1981},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:0c6bcaf6fc845273d243bc1c832e07960d5642807e029569f9fbeb5f2ffe46d7","observation_id":"9ba5c4ba-9495-49e6-8fa5-b067b1c0cb5c","resolution":{"observed_at":"2026-05-21T00:33:52.935117Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f8ebd755-3db6-4941-88b9-73e679401539","year":2020},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:28c94f575ae10ef9ac414eb14af8018c81a9de3aaae018bd48302e432e2632ab","observation_id":"64a2b9a9-c3d8-4e21-8261-e976fd777e2e","resolution":{"observed_at":"2026-05-21T00:33:53.000819Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2307.09307","last_updated":"2026-04-29T11:16:54Z","snapshot_observed_at":"2026-08-09T13:15:13.535842Z","submitted_at":"2023-07-14T16:16:33Z","title":"Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets","version":3},"cited_work":{"arxiv_id":"2307.09307","doi":null,"metadata_source":"pith","pith_arxiv_id":"2307.09307","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Towards an ab initio derivation of generalised hydrodynamics from a gas of interacting wave packets","venue":"cond-mat.stat-mech","work_id":"c2688c9f-742e-4f09-9f5d-da57b0d695eb","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"cited_paper":"/paper/2307.09307","citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:f29e7d7f8dff4e23eea064590a445357676d2b29dc94091b4193fae7117e8548","observation_id":"c7d14664-1d03-4ccc-9bb1-aeb705584e71","resolution":{"observed_at":"2026-05-21T00:33:52.571053Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Doyon, F","venue":null,"work_id":"94d5a8e4-2137-4933-b144-ad3963385d0b","year":2024},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:8122d7f8acf97ccf04d954a08ae1afc0c79428252a3e7872c945b4d6bef1751f","observation_id":"63104a39-ba2b-4ea0-939d-abb6f8972171","resolution":{"observed_at":"2026-05-21T00:33:53.011054Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Doyon, T","venue":null,"work_id":"eb358655-a189-4303-a168-657a5ec76f2f","year":2018},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:45da27befb02d7edf06fe071d060366a4dc2e98dee824b579f5167800f3a08c3","observation_id":"ca7bd5d3-2a33-4f59-9ddd-24b27c55de72","resolution":{"observed_at":"2026-05-21T00:33:53.015629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"dd871598-64c5-4dee-bd07-2aabc1abd796","year":2015},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:244915b8098b1920f27c3b875e1f5e2f8d958e1d4cc0af009f31d9305634b62c","observation_id":"c7bf39c3-bdcb-4495-8447-ee266de59659","resolution":{"observed_at":"2026-05-21T00:33:53.001066Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Dworaczek Guera and R","venue":null,"work_id":"c7d49967-fd7c-4548-9643-f7b4acda6dd8","year":2024},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:ad53a34dfe7293eb53082e7c14683bf4314213149372d5e49ce5209418875342","observation_id":"2f005415-abc0-4f0c-8de9-d467602848b7","resolution":{"observed_at":"2026-05-21T00:33:52.964037Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"1f7dab98-5109-4e99-b365-59b288aee4ed","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:a88389b5405ef3777f5e3184f4f6fdcdec88a4b7bf4bc5f57f4c89d7fe285884","observation_id":"d7d6ce33-b452-4a3d-9033-902c05e4f4e0","resolution":{"observed_at":"2026-05-21T00:33:53.022864Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d0b54628-d141-42d1-94a2-afff0ed31337","year":2021},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:1efbc1c74f6201fa535f3f88c94b12c1a595d361ca3c96759a6ab4956ba259d8","observation_id":"5d05b1fa-85f2-4128-bef0-88fb5b8c5761","resolution":{"observed_at":"2026-05-21T00:33:53.023267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"ac480aef-0dd0-4ad7-9779-d719507330b3","year":2025},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:16c6543537cfc110d4697b8dd790feaa9f9fa6afaad7ffc179c7413cbe06ded3","observation_id":"8fad8dad-c004-492c-8998-e5e755817d32","resolution":{"observed_at":"2026-05-21T00:33:52.999267Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"bc109111-d71d-4bb3-845e-fc1af73c831f","year":2006},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:4b529c7bff824f006c07dd03ad6615ba03a7a4a5aff3b5948248a6056405fd98","observation_id":"53e077f4-d634-4f6f-bff0-652b57181da3","resolution":{"observed_at":"2026-05-21T00:33:53.009148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Flaschka","venue":null,"work_id":"ec8c3bdb-4224-446f-938c-8679815349bd","year":1924},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:240b658729e6db63f73ea672e711cfa8756510da897a9a4cce713d1b6fd7c1b4","observation_id":"4325d2e2-1f52-48ed-b2c6-c6fe3cc84a76","resolution":{"observed_at":"2026-05-21T00:33:53.028274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Gopalakrishnan, D","venue":null,"work_id":"37ebe5c4-3b48-4719-b4dd-694010e95d1e","year":2018},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:848ad7c17f4731169505c553fddf159a4afad41cd2d3636f49e755fe1cb147c8","observation_id":"0cdd35e6-cb72-465f-aee5-26698237d8a6","resolution":{"observed_at":"2026-05-21T00:33:52.970298Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Gou¨ ezel","venue":null,"work_id":"a604567c-6b58-4017-8cf6-8ff7459f046a","year":2015},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:92ed542cbd00c89d7cfab3aef991121e71177d737c69172fcd618485d746a0a3","observation_id":"e0ecca82-08d5-492a-8823-4ab12ac40233","resolution":{"observed_at":"2026-05-21T00:33:53.020925Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2604.00635","last_updated":"2026-04-07T17:23:14Z","snapshot_observed_at":"2026-07-06T22:51:26.754746Z","submitted_at":"2026-04-01T08:41:54Z","title":"Large deviations of the periodic Toda chain","version":2},"cited_work":{"arxiv_id":"2604.00635","doi":null,"metadata_source":"pith","pith_arxiv_id":"2604.00635","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Large deviations of the periodic Toda chain","venue":"math.PR","work_id":"b03ff7c9-2ab5-42ca-bb23-3faa8a3dbd35","year":2026},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"cited_paper":"/paper/2604.00635","citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:12b4f966dd5c4874e6a32699baebdeaa4aa75117f43cc77fa282a20a396c3e78","observation_id":"8270af66-34de-4880-9e3b-42d4b02c49db","resolution":{"observed_at":"2026-05-21T00:33:52.583613Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Guionnet and R","venue":null,"work_id":"3d952a37-05a3-4b92-9475-d1ead9adc626","year":2022},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:29c93e355699e2726e84b392f3eceb867ee0929cba04a0fcc3e4f00b38186d07","observation_id":"6826f991-4e67-4476-8a3d-29d2dc715f6f","resolution":{"observed_at":"2026-05-21T00:33:52.988142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Johansson","venue":null,"work_id":"4f0d5961-28aa-402f-94f6-8cfe2beafea7","year":2000},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:1fe8ae6eff1daa1d95ca810f8b43249b87acd5a37be5e06755df0f3e7b946d28","observation_id":"95938f70-6ecf-4536-a9d4-59bb54dc6d1d","resolution":{"observed_at":"2026-05-21T00:33:53.032641Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Kappeler and P","venue":null,"work_id":"67423ffd-b100-4371-8d95-f04e5084e628","year":2006},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:aa34840dfcc772c8a84755764b7a499bb8a1e40e9f3834a3bc517c01266765af","observation_id":"2d1b34ae-3f5a-4c3b-b3a9-bdff4132c7f9","resolution":{"observed_at":"2026-05-21T00:33:53.017094Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Kardar, G","venue":null,"work_id":"4af6c13e-56a5-4267-8e96-dd604dfa9986","year":1986},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:ff64de076b5e23b12b67698eb7a67ba6ab2b2c733a7b26f09ac277d8bac17dca","observation_id":"2c879319-7fa1-4aea-8527-46bf78343b52","resolution":{"observed_at":"2026-05-21T00:33:52.924902Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Killip, J","venue":null,"work_id":"9fe83ec2-acc2-4c82-a191-883cb4dfd78c","year":2020},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:4e902a9fbc11187a652600b2d85af10ec193910ca9a0f85f9aab0b0322e1bad7","observation_id":"1a302dae-a70b-401e-a89e-e28abee9614d","resolution":{"observed_at":"2026-05-21T00:33:52.937671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Kr¨ uger and G","venue":null,"work_id":"3bd739cc-d98f-40da-b692-9c48ab2d2efd","year":2009},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:704353966a82dcb9327dbb0c8a4dcd58b096aed277ca33ca504906ba1744c0a0","observation_id":"d536bcc5-ca12-4843-a7fe-1eaed6e2d829","resolution":{"observed_at":"2026-05-21T00:33:52.944515Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Kunz and B","venue":null,"work_id":"866fd709-2f8e-48ea-82b3-4f5fdc065f8e","year":1980},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:a28eef8081dfa56e93dfccde72b9b21c04b3ca612ef28e69af39da20e06e0b81","observation_id":"fac8a5d2-ae69-4377-845a-83df55df36cc","resolution":{"observed_at":"2026-05-21T00:33:52.942188Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"L´ evy.Processus Stochastiques et Mouvement Brownien","venue":null,"work_id":"0c56e391-5e97-42a6-bc2c-85443166a8ef","year":1948},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:3e81732c7c89d0101b8485eb5719ba649fadb09a909df4ecd2f5d253a392548e","observation_id":"2ec8d610-268c-45d8-8e58-55ab8c1d688b","resolution":{"observed_at":"2026-05-21T00:33:52.996908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Lukkarinen and H","venue":null,"work_id":"87cc4a40-14f0-49cc-a89a-c21e6752e461","year":2011},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:935c5be294d8532bdc179050960b8398e90a76bc6e0c7b8946a9fdd35fa23da5","observation_id":"a05d7a84-aa32-45fc-a3eb-ae18ee901140","resolution":{"observed_at":"2026-05-21T00:33:52.935648Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a935e1ad-1ece-4f17-8206-d36cb1bd8bc4","year":1974},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:dbb8a5e665d5bdb305b3286fc461673cf9c0acc4081508f89275bb5be246cf74","observation_id":"64b3cc91-03bc-4f5f-b21e-84ed760f2923","resolution":{"observed_at":"2026-05-21T00:33:52.951997Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2209.02643","last_updated":"2024-08-18T20:39:22Z","snapshot_observed_at":"2026-08-10T12:47:33.703333Z","submitted_at":"2022-09-06T16:51:36Z","title":"Polynuclear growth and the Toda lattice","version":2},"cited_work":{"arxiv_id":"2209.02643","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2209.02643","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Matetski, J","venue":null,"work_id":"4006e327-fdfb-4a63-be03-2d7f2e852925","year":null},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"cited_paper":"/paper/2209.02643","citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:3f208de26ee98cb04d2210f47252fe42afca2bf07ffb6d9f3122c9293362810f","observation_id":"ef8cb3ef-8019-4679-beed-b2963ae84e4d","resolution":{"observed_at":"2026-05-21T00:33:52.587267Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Matetski, J","venue":null,"work_id":"e6912692-f583-4c92-a130-3aa0557ad4d3","year":2021},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:871975ed85ac2ee5c62912491c3d7dee2ed9ca068161a2f01e04a1e121e30dc5","observation_id":"3605e612-36fb-4a06-96c5-44d116b5a445","resolution":{"observed_at":"2026-05-21T00:33:52.957549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"84995e52-03f3-40d8-842a-2e32f4c83f75","year":2022},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:afb09958e70cca60c744feb32e770fa1a26f2f4bf492a6f1a4e0cdbca2e16c2e","observation_id":"de901448-838f-4302-b084-36f78ae6f691","resolution":{"observed_at":"2026-05-21T00:33:52.970501Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Mazzuca, T","venue":null,"work_id":"09001d4e-3406-4958-9681-22f352973959","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:81ce946fa559962b5ade581799b991801491433715cdebf7f8114a1a5dd4e11c","observation_id":"8426bd58-173a-445f-80d3-025d3852cf1d","resolution":{"observed_at":"2026-05-21T00:33:53.007111Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Mazzuca and R","venue":null,"work_id":"61204223-ddbc-4034-a7bb-af2268707cde","year":2025},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:785b1daad8f4ecd28587d245e95a42a39b74e3814979a3d1e7379b97de91af96","observation_id":"c498bdd8-2a11-4a53-8cd0-8b91db6c156b","resolution":{"observed_at":"2026-05-21T00:33:52.931484Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"fd49ebcd-cd09-4dda-b1d2-19c490974b12","year":1996},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:adc2db8fb10662a9be65bb443ec4c6daa2632ad155c3cae6b6bb7f805bcb80e7","observation_id":"fdcc8909-5f20-4ade-9d9c-990c10438011","resolution":{"observed_at":"2026-05-21T00:33:52.955195Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d1877d72-78c9-49c9-be19-27a3d1b5c776","year":1975},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:31f5ff960ce14c7e485e08b9aa3ed191c5273cdd5b58c4b06e7dfdf05776f925","observation_id":"b9b6ec9d-8e4c-403d-8e93-fe72f4ab3027","resolution":{"observed_at":"2026-05-21T00:33:52.940207Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.14818","last_updated":"2025-05-06T01:05:16Z","snapshot_observed_at":"2026-08-10T12:47:50.354910Z","submitted_at":"2024-11-22T09:28:57Z","title":"Scaling limits of solitons in the box-ball system","version":2},"cited_work":{"arxiv_id":"2411.14818","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2411.14818","snapshot_observed_at":"2026-07-04T05:39:40.364946Z","title":"2025 , journal=","venue":null,"work_id":"f4fef0c4-468d-47f6-a96d-68276db25866","year":2025},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"cited_paper":"/paper/2411.14818","citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:5bf3051c07dd721c4cba0b4f405283b8a2a79fa08f9f8164810b709c4654aeb1","observation_id":"648648cf-73cb-4063-81d4-01a646d5bd2b","resolution":{"observed_at":"2026-05-21T00:33:52.569576Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"a3b783a3-d0fc-4be3-89b6-92eacf2a90bf","year":1985},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:880ed0fb358b03a346a4381bf2087fb19fbeb7db9db6090246ed7282f308fb07","observation_id":"d1d1a4c5-4e2f-48cf-9fc6-f92b25803b5b","resolution":{"observed_at":"2026-05-21T00:33:52.974443Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Pr¨ ahofer and H","venue":null,"work_id":"d9cbc21c-24dd-4f6d-96fe-560cd4b7a2fb","year":2004},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:2e4f5a5fddc0c303109bd5146cd760c7253dd73834b26d34aed9f74102e8e1f2","observation_id":"a5fd447a-463f-40a5-977a-f4ab3c7483bc","resolution":{"observed_at":"2026-05-21T00:33:52.985967Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Presutti and W","venue":null,"work_id":"ba4d0a5f-5508-404f-98d7-31782c183b15","year":1988},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:36b9d300c34eb4bcfba64566b0e5936feb3ff22199dba7d94ebd176db47fda63","observation_id":"3b17edd0-ff0c-4463-8178-9c82700d6173","resolution":{"observed_at":"2026-05-21T00:33:53.026254Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"f6936afe-fa40-4327-9866-157c204ba328","year":2012},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:9968aff6d86b7d2b2a85bef4fe0612a6b4286019ded34913efbbf8803b9aad11","observation_id":"4b8457dc-cafc-4383-a82a-c1816a0cb537","resolution":{"observed_at":"2026-05-21T00:33:52.990141Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Quastel and B","venue":null,"work_id":"9230da5c-ad1c-412e-9536-31c512c18ce6","year":2008},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:d3d8cb98af54b6a2758b1119ad60ba59b2a2320776c512721bdfe20e0f507bce","observation_id":"1d5213ce-3881-4596-bb08-a74fb2ac9697","resolution":{"observed_at":"2026-05-21T00:33:52.976452Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"2d15c7ef-b4de-4583-8d6b-184900103da6","year":1980},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:4e857ef6447f3bd6c2a3a106bc34afab010503a7d77ef67af6af9a4a658819a3","observation_id":"671e3114-49d4-482b-a780-f0b49670220b","resolution":{"observed_at":"2026-05-21T00:33:53.012508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Schenker","venue":null,"work_id":"d9aee906-1f7f-43f9-bd1e-f6c8731b2554","year":2009},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:252e1fad5e520d3747ec6576ea5f8413182e81e66d9c08e1d13695445eab0296","observation_id":"99ee365e-b2c4-4823-9449-3751c4ab1f0d","resolution":{"observed_at":"2026-05-21T00:33:52.959670Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Schneider","venue":null,"work_id":"b9ac8aa5-36fd-44b4-b25d-c3741d4a72d5","year":1983},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:b218f25859b9ebbf6607d2c983fbe7293aee7e8dccae93910a7f709c55f14410","observation_id":"f049f6ea-1136-463e-b5db-f5951df30f09","resolution":{"observed_at":"2026-05-21T00:33:52.965881Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Schneider and E","venue":null,"work_id":"5e7cbfc8-03d5-458b-9d1e-7daebb39c016","year":1980},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:386cb4aa48e1033a692f4e96a0f5e38f61a732530dd2a809f850523f8d930400","observation_id":"58625c1b-283b-4a37-b220-b0a301acbc07","resolution":{"observed_at":"2026-05-21T00:33:52.978632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d640fe95-ee67-4214-8869-a075e8bc90ac","year":1982},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:c93cd6360e9e52936ae9fd3602bc1265155cbcf64abf27dec9802d75f056f3f9","observation_id":"8289d9aa-64eb-4069-8f3e-08275ab4540e","resolution":{"observed_at":"2026-05-21T00:33:52.961789Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"4af4bbee-630d-44cb-894b-ca7b46acf512","year":2014},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:cf636405673d50a92a5641155eb754a006bee1f26b3010d7315678467117c044","observation_id":"6adaeb97-dd35-4e73-89f6-8bb275fb7454","resolution":{"observed_at":"2026-05-21T00:33:52.972391Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"82d7d028-6df5-4829-b64b-07d768b58cce","year":2020},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:3e4ee0790d237b227b584643b83913caae23006780fc113f1698e90599aca964","observation_id":"986afc78-4309-46ee-b17a-de3fb9b57e1c","resolution":{"observed_at":"2026-05-21T00:33:52.981206Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"c4e18f44-50ff-4316-b85f-aa1190c5331b","year":2020},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:998004804e5ac1903151ea09aa9b952d7543370f8a40ce8674bf7bc2bbcf9461","observation_id":"ba337e27-6878-4d8a-a978-2b5c3fcc9f5b","resolution":{"observed_at":"2026-05-21T00:33:53.021104Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Spohn.Hydrodynamic Scales of Integrable Many-Body Systems","venue":null,"work_id":"9163a522-ee37-4f39-936e-1c203dfd99bf","year":2024},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:8425fd97d33259af77d31a006b95dd26c0a3e172858481eb1bd1fb7dd6bd6d9d","observation_id":"311c803e-94b8-485f-a2db-19bc1abee455","resolution":{"observed_at":"2026-05-21T00:33:53.026706Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"921d3e78-cb1a-44d5-8e99-f17d83489539","year":2023},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:968ee275b323f5b3d0e22ec65ba7bbd82daa7fbcc352baf72a059c4a8b0c0b83","observation_id":"675b92e4-f9b2-484b-93c6-6cb3e982f542","resolution":{"observed_at":"2026-05-21T00:33:53.015089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Takahashi and J","venue":null,"work_id":"94f5d902-f0ab-4931-85f4-6a69a93f7a80","year":1990},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:a82feb6301e9ee7d26b293c6991f9e13fdc789b5f8e3b4eb2b4da1f1e431a096","observation_id":"3443fda1-6664-46cd-8a1d-f1917c68ddf9","resolution":{"observed_at":"2026-05-21T00:33:53.004321Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Teschl.Jacobi operators and completely integrable nonlinear lattices, volume 72 ofMathematical Surveys and Monographs","venue":null,"work_id":"ada1c451-be4e-4096-b4be-e6fd057acf9f","year":2000},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:6beedf33f4884714cd88e37e9367ed09707cf4c29aca4c9a26d169d4a2fdb3cc","observation_id":"29665181-e4ff-4350-8f6b-fa33932f9b0d","resolution":{"observed_at":"2026-05-21T00:33:53.006578Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"cb8d75ca-d4f6-4117-8b08-c8e10200f1dc","year":1967},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:e6693882cdf993d8f27740609e8b4a5bba10d34480e0f5ded2f496eba1bf2b22","observation_id":"afdb0a2d-d246-4b42-866e-0a6c38c5415a","resolution":{"observed_at":"2026-05-21T00:33:53.030347Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"b00007a8-d953-4520-8476-beb68ea8b5a7","year":2020},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:f454c1006305df8d1458f41952c71d201e6642cb376202c710c956c2cb4e0e9d","observation_id":"9fc67464-cc7f-4b68-a675-69bd99263735","resolution":{"observed_at":"2026-05-21T00:33:53.010681Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"van Beijeren","venue":null,"work_id":"aa820e32-b418-4df2-82d6-635ec3b1f25c","year":2012},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:1135e29d5b762c0e9810c6c36348a5f9eed805e2c6aa80e835d1b72cd0bebbcf","observation_id":"6ee4f942-ae72-4f17-af1b-e4dc2b2a9f05","resolution":{"observed_at":"2026-05-21T00:33:53.028728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":"Venakides, P","venue":null,"work_id":"dd11d51b-2383-474b-bae6-b16a329380a2","year":1991},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:10ac60dd537b80452e143f9c4566bb22cd17a23d18ccc31ed4de9865d5250fef","observation_id":"4d5cc744-e95d-436c-b9e7-26d79f9ddc58","resolution":{"observed_at":"2026-05-21T00:33:53.005171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-06-05T21:23:00.469572Z","title":null,"venue":null,"work_id":"d1d0f665-4c9a-4d04-ac22-b471671caf96","year":1987},"citing_paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice","version":2},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-05-21T00:33:24.397186Z"},"links":{"citing_paper":"/paper/2604.14346"},"observation_digest":"sha256:6ea19abadf74ed7dc9ad0c86e5ce5d4db213748c36594f89fb47a49c5cea4139","observation_id":"8afebb58-f620-4bd5-8f5a-08bfb0810ada","resolution":{"observed_at":"2026-05-21T00:33:53.002552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2604.14346","last_updated":"2026-05-18T20:54:34Z","latest_version":2,"primary_category":"math.PR","snapshot_observed_at":"2026-08-06T19:43:41.655819Z","submitted_at":"2026-04-15T18:59:53Z","title":"Fluctuations for the Toda lattice"},"reference_resolution":{"displayed":76,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":25,"verified_exact":6,"verified_fuzzy":45},"total_outbound_references":76},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 10 August 2026, this Paper Citation Record lists 76 of 76 outbound references and 1 inbound Pith citation observation for arXiv:2604.14346."}