{"as_of":"2026-08-16T14:04:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e040d4f9223aac08253defb224176b95da03934368262d44c895201a3648c566","coverage":[{"denominator":52,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":52,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:18:52.208040Z","state":"measured"},{"denominator":52,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":52,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/1908.01532/citation-record","integrity":"/paper/1908.01532/integrity","json":"/paper/1908.01532/citation-record.json","paper":"/paper/1908.01532"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.635531Z","title":"Ablowitz and H","venue":null,"work_id":"717c19dd-a81c-407b-8a9d-e0eabc94d4c3","year":1976},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.759906Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:3d1eb0bf6d33e7037bc96f6e3dad11ef6d454c25732b9f02785f03ebacba4635","observation_id":"bcfad681-522b-487b-ad73-6834e0758ab7","resolution":{"observed_at":"2026-08-14T15:18:53.641582Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.611604Z","title":"Ablowitz and H","venue":null,"work_id":"039a4919-154f-4ce3-9a34-b997e324a44e","year":1977},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.767656Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:8e514d29efa0846cd2efef123253e696b7f8caae53a9670c22c97c66f228614f","observation_id":"ec5f9344-2f82-486a-a8eb-0bcd61499245","resolution":{"observed_at":"2026-08-14T15:18:53.616668Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.593540Z","title":null,"venue":null,"work_id":"d8d49124-f399-4c5c-81e4-740ab08856ce","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.774918Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:d03aad44a1069225da42596ee3f0d8ee8ee2e682d3c54a035814a820e77db21e","observation_id":"eb7151b1-5851-428d-a78a-ae5c4f834fd8","resolution":{"observed_at":"2026-08-14T15:18:53.599882Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.575237Z","title":null,"venue":null,"work_id":"54deaba7-97d6-452c-af29-da4641aa01fa","year":2009},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.780458Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:1e954a16656081c8f3f1a11637c22e323cf11b400d61621894bf346b4f7eda07","observation_id":"188d6201-9ad6-420b-9424-9b8870259429","resolution":{"observed_at":"2026-08-14T15:18:53.581447Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.557581Z","title":"Bogatskiy, T","venue":null,"work_id":"b76ac74d-e819-4b79-9d39-6b244af39577","year":2016},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.786516Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:fd6247518d89e1c4df65a56f962569eb20ecf71df6bd3d07aaef937cdd98d298","observation_id":"d6d5a20c-5241-4aa9-b9c2-001e653c58b5","resolution":{"observed_at":"2026-08-14T15:18:53.564148Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.537408Z","title":"Bohigas, J","venue":null,"work_id":"40a1b819-ce63-4b8b-b079-7b3c2c224080","year":2009},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.791605Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:afee172d1198423453a58d8c7b623d58f214ea525d7a16735f9813f61246cd67","observation_id":"4f1b1e82-d4a4-474b-9a57-970ef145243a","resolution":{"observed_at":"2026-08-14T15:18:53.543217Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.518374Z","title":"Bohigas and M","venue":null,"work_id":"ed5a469a-9146-4695-a3dc-f010e2729ed3","year":2004},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.799792Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:0283b968be7a5f5299ce93d4353076b0e18f0a7742089760e6ef922694e26b53","observation_id":"93fc12bf-2e34-4bed-a414-2a354b024463","resolution":{"observed_at":"2026-08-14T15:18:53.523820Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.496501Z","title":"Bothner and R","venue":null,"work_id":"1f65e70b-7d1c-46d4-8d63-e4fefce63bc2","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.807028Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:e917c0a64b5cbcd629b144dc3447d50498486a10c0ddf394f2416cc464775947","observation_id":"20b6a1eb-13af-4231-b09b-96db59f03ab4","resolution":{"observed_at":"2026-08-14T15:18:53.502250Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.473911Z","title":"Bothner, A","venue":null,"work_id":"71bda569-57a0-4e8b-8a5b-468dfcbf94e5","year":2019},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.817533Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:7a10cfe4a70579ed92fc0ac80918097a8b81c1dea3984d36525d30211e7b7e7f","observation_id":"695220d8-e1ad-4c91-af23-a9834a561896","resolution":{"observed_at":"2026-08-14T15:18:53.482303Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.448130Z","title":"Boutroux, Recherches sur les transcendantes de M","venue":null,"work_id":"ba20258f-c730-4ece-b373-31ddf396e926","year":1913},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.826330Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:58d3a7168bc64ab4a9ac41dc317f151c6c8cfab24878c0e59d104f7414399f73","observation_id":"d171d114-32a5-4f57-8eb6-bfa26bdae410","resolution":{"observed_at":"2026-08-14T15:18:53.455986Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.425083Z","title":"Claeys and A.B.J","venue":null,"work_id":"82ddf949-611a-414d-90fa-f356ec203c1a","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.832724Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:47ec1340dfdf51328ff6f451cdf7f596b0d5dab3c66d5b74ed4cc9b0fb53a5f4","observation_id":"cb488543-c380-423d-b73c-566a5c88e2ad","resolution":{"observed_at":"2026-08-14T15:18:53.432388Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.400184Z","title":"Claeys, A.B.J","venue":null,"work_id":"f11634c4-7383-40c1-9dfa-db8d74068207","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.844981Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:3ba132aee5873923947eaabfe952648cb8b573a774ba3f94bfce101dc88b0f16","observation_id":"be3604bc-1e17-40a5-abe0-266a8cb4354e","resolution":{"observed_at":"2026-08-14T15:18:53.407723Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.364946Z","title":"Dai and W.Y","venue":null,"work_id":"74a10176-7c92-4f1d-a735-9a1d1dce9de5","year":2017},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.854265Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6b29975d60ef95f98ab9f97befa939eb2f8d35870cdf500003b5d048ac5fb76c","observation_id":"24ac24e7-5c02-44a3-91d5-4c42536dbf56","resolution":{"observed_at":"2026-08-14T15:18:53.380236Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.337974Z","title":"Deift, Orthogonal Polynomials and Random Matrices: A Riemann-Hil bert Approach, Courant Lecture Notes 3, New York University, 1999","venue":null,"work_id":"795542cf-a28c-48c4-bdf8-217b978e90c5","year":1999},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.860582Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:ce125019591198a9c5533691e763038b483f63791ed20d49fda45da0298b2ce7","observation_id":"d7b2830a-13f3-4d3b-90de-08117ebc2bc2","resolution":{"observed_at":"2026-08-14T15:18:53.345953Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.312569Z","title":"Deift, A","venue":null,"work_id":"95fa2898-7cf9-4e1c-8bf7-ccb8a2dafd52","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.867837Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:cb0a9fcd6818f6303a28ce18600961168c4016309cbe397e7048ebc3775d1530","observation_id":"ad34a994-ab1c-4e35-8866-af048810f404","resolution":{"observed_at":"2026-08-14T15:18:53.318836Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.289858Z","title":"Deift, A","venue":null,"work_id":"06094aa4-27f1-4fb5-b11d-795f10ec9bf2","year":2011},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.876572Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:b8593e929859b59ff247fe6ef56d447cb59e3650890fde8cbfe810d5bdf36bed","observation_id":"9e7485d8-878d-484b-972d-56ba9d666c85","resolution":{"observed_at":"2026-08-14T15:18:53.296053Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.266232Z","title":"Deift, I","venue":null,"work_id":"d177480a-faf0-4131-b757-ec6dea0cadc5","year":2011},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.888579Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:28f53d85005f2821b9c0fd8eab7415a5f661af1562a15ca68205e341a316d0c8","observation_id":"3c9fa79a-32f9-46c5-95fb-9d58be9b8a0a","resolution":{"observed_at":"2026-08-14T15:18:53.273838Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.237985Z","title":"Deift and X","venue":null,"work_id":"01019be5-afe2-404c-811e-b0c9dbb6d73d","year":1995},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.898368Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:ea573a0db31eebae6765eb020eb90577a4045eee83dedef7409932e618760693","observation_id":"c8764553-a26c-4ee5-97d4-4ca6e3b95f25","resolution":{"observed_at":"2026-08-14T15:18:53.246436Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.207302Z","title":"Ehrhardt, Dyson’s constant in the asymptotics of the Fredholm determinant of the sine kernel, Comm","venue":null,"work_id":"d8e6ac80-b82b-49e7-a971-98dfd97ca143","year":2006},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.908471Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:28737d00479192990401a58d96a957eb9bac964f1db438e02c9f2b28706d671c","observation_id":"01a61128-3394-436a-be6f-e023361cdf92","resolution":{"observed_at":"2026-08-14T15:18:53.215475Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.178210Z","title":"Ehrhardt, The asymptotics of a Bessel-kernel determ inant which arises in random matrix theory, Adv","venue":null,"work_id":"1294d8f2-faa7-4066-967e-3bffbac2192b","year":2010},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.915797Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:d94931a1aad461195ca7c2134005e390fb43d2ae53e90d35abe5cc76f7726e62","observation_id":"0329e577-5455-4df7-ae8f-591dcaf01db3","resolution":{"observed_at":"2026-08-14T15:18:53.188184Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.155872Z","title":"Flaschka and A.C","venue":null,"work_id":"e1d6e4e0-5b7a-4738-b0ea-67c6c29689d9","year":1980},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.927973Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6d40020c670ecb154d6de8fb767e0b07ac744dfdcd89c453eb54efa864f18f2e","observation_id":"a994b154-9860-4cd4-adbb-3457b1f87bbe","resolution":{"observed_at":"2026-08-14T15:18:53.164565Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.132935Z","title":"Fokas, A.R","venue":null,"work_id":"f5967acb-e42c-43c5-a129-52b6de3d1aaf","year":1992},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.935776Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:690ad45f4c9749df41e819f7d66c52f4f23b7f3bfeb9715c4cfb3fd0f93d6498","observation_id":"6dad5e21-2082-429c-ab6e-87a029946771","resolution":{"observed_at":"2026-08-14T15:18:53.138824Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.112813Z","title":"Fokas, A.R","venue":null,"work_id":"ffdff89e-0460-4023-801a-5ac661f9d861","year":2006},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.951900Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:c9f983053e4d3f2dcec0fe36ff1180f6899ce817ad0f361fff5c20908f870f76","observation_id":"d65702b0-dec8-4fa0-85c4-0563acd0d5d8","resolution":{"observed_at":"2026-08-14T15:18:53.119192Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.084552Z","title":"Forrester, Log-gases and Random Matrices, London Mathematical Society Monographs Series, 34., Princeton University Press, Princeton, NJ, 20 10","venue":null,"work_id":"c319cd4c-68b9-4fcb-a347-b5a2b02d0dfc","year":null},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.960007Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:19f95c9fb14bdb7dfe31a968c6ded268b288bea74dba01a87f152626865f5416","observation_id":"35137b7a-064d-4dc2-91ee-29524668ecec","resolution":{"observed_at":"2026-08-14T15:18:53.094725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.055817Z","title":"Forrester and N.S","venue":null,"work_id":"f5976475-9832-4d84-b2a1-05d9c7a97e2b","year":2001},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.970036Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6054694db547cd99d0de01d52574ea26a5cde0f10dd851ee0575b0713bf3836f","observation_id":"b6bf2390-eef2-468c-9e49-1b796aafca03","resolution":{"observed_at":"2026-08-14T15:18:53.062873Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.027873Z","title":"Forrester and N.S","venue":null,"work_id":"ac1f5395-6271-4d11-b811-e972e00b7d35","year":2015},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.975598Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:ab75539070e5051b78d06cce96de2f5d6d7067969dbc193745e77be059ee9d03","observation_id":"2c4cbce3-14dd-496f-a783-afc7683915e9","resolution":{"observed_at":"2026-08-14T15:18:53.034729Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:53.000657Z","title":"Gromak, I","venue":null,"work_id":"937e7d74-706a-4694-99e2-3187f03b23ec","year":2002},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.985585Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:22b3d6001d21eab36d3a00d6c4224028d147af89cf49ef268347562b31e3be58","observation_id":"367b3a3a-9af9-4d24-8c90-5a53b58e5792","resolution":{"observed_at":"2026-08-14T15:18:53.010224Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.969527Z","title":"Hastings and J.B","venue":null,"work_id":"b5b072fa-6110-4cee-8ddf-522f3f83f27c","year":1980},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:51.995488Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:c103394ee002f24885905f4ef4f285a6aa6aff7ea8f45e0729830e390ec11a61","observation_id":"6c3c9a36-f040-4004-8541-04dede26e9fa","resolution":{"observed_at":"2026-08-14T15:18:52.980107Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.946073Z","title":"Ince, Ordinary Differential Equations , Dover Publications, New York, 1944","venue":null,"work_id":"247d4c5a-575d-4209-9663-29f4a49d4d4d","year":1944},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.006391Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:7185649b6bd053d1beb3a45ef52edd2aacf4b7e62c97c2bfc71465e0fb50b252","observation_id":"1150eb5f-4c4a-46a9-9d0d-83fea8b59bfa","resolution":{"observed_at":"2026-08-14T15:18:52.954249Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.921027Z","title":"Iorgov, O","venue":null,"work_id":"2f95cbf5-bde2-4cc9-916a-6be4d43a0a72","year":2013},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.016819Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:3be69e1857897c0e1f893af8f57893745c5f52f93f572d3f769ac6a29a4f2011","observation_id":"fc404112-632f-4863-8fa3-6287d621668a","resolution":{"observed_at":"2026-08-14T15:18:52.928954Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.900255Z","title":"Its and I","venue":null,"work_id":"01bd1d5e-1af9-4055-9b8b-e1d36ac7ab0c","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.027617Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6891a25113f31c0a2b9cc17d5568f1408ed3e4d2e6de8258d416881320df9267","observation_id":"bc0f9f4f-eebd-43e3-baac-144613260e84","resolution":{"observed_at":"2026-08-14T15:18:52.906649Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.870203Z","title":"Its, A.B.J","venue":null,"work_id":"1ee2f429-8cc6-48d2-8f3c-143a2daf099a","year":2008},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.036469Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:3b1a499cc3a9fa153ac4d7f321e2e8312517b37ecf3eb04560fb79ecd3343536","observation_id":"44ef7ccc-69b2-4e63-9866-a2d53ecc10eb","resolution":{"observed_at":"2026-08-14T15:18:52.878223Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.847678Z","title":"Its, A.B.J","venue":null,"work_id":"035e9da9-5776-47ec-ba32-81ad12854777","year":2009},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.044000Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:35c70478e40956e3157fa356e7fcfb75d36dc9ea2819b1508713498a57fbdcdb","observation_id":"52227ef4-e385-41d4-98da-28c9c18fcd42","resolution":{"observed_at":"2026-08-14T15:18:52.853122Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.826899Z","title":null,"venue":null,"work_id":"fbf82f53-cc34-4c2b-b5a3-40900790e7b9","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.051458Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:305c56d212aba29127e0077d244da50e60616da60d09267a85cfdd944dfcca47","observation_id":"267705c1-16a8-4add-8acc-fc288069caa3","resolution":{"observed_at":"2026-08-14T15:18:52.832569Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.808941Z","title":null,"venue":null,"work_id":"2d0a1d9b-2864-4065-a4b1-41a1adde26d2","year":2015},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.059081Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:c8c96f228f508dffbd80b0f14e72d196dcc0805833b72c49021dbb15f4a3d62f","observation_id":"cf10d8a5-2e17-4b6c-b929-69e31cc18382","resolution":{"observed_at":"2026-08-14T15:18:52.815150Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.789692Z","title":"Its and A","venue":null,"work_id":"e57b00a7-297b-4cf5-8ff3-5a54e59b4168","year":2016},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.065667Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:03186043c4adde697cce934e6444153f67db6713e2fc6bc1c64bc37a8993ab0e","observation_id":"9dcdb11f-1b8c-4c02-9fe1-bb30f6f5456d","resolution":{"observed_at":"2026-08-14T15:18:52.795559Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.770619Z","title":"Its and A","venue":null,"work_id":"04abc649-042f-4d01-857a-03be570a02f4","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.080797Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:303f61c4f653dd5a3eaa12176ae6569b0b2e8f54e3c1f6519af51f7aedb1c82e","observation_id":"9a11e34f-4e7d-49ac-82aa-4ceca235b5f2","resolution":{"observed_at":"2026-08-14T15:18:52.776959Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.743744Z","title":"Jimbo, T","venue":null,"work_id":"84452b10-043c-4582-bbc4-cba481787707","year":1981},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.092018Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6fffb1dd8a1fdd961896337d01aebbae18ee14debd4689fe0bca31a4fb6ed8bd","observation_id":"ca8f2722-5302-42f7-a03c-9b0b10556dbf","resolution":{"observed_at":"2026-08-14T15:18:52.752699Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.713578Z","title":"Kapaev, Global asymptotics of the second Painlev´ e transcendent, Phys","venue":null,"work_id":"4f1cd36b-c68b-4bca-bb6b-d495210d5ce8","year":1992},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.101409Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:51fd3aa9ce490b781667a1a1b808a08e8d13c9473564cbcf3b5451d0f76ecb8d","observation_id":"2808a1ca-6f35-4de0-9d2e-9828e4be6e42","resolution":{"observed_at":"2026-08-14T15:18:52.724916Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"nlin.si/0411009","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.346366Z","title":"Kapaev, Quasi-linear Stokes phenomenon for the Ha stings-McLeod solution of the second Painlev´ e equation, preprint arXiv:nlin.SI/0411009","venue":null,"work_id":"2cf278db-c431-4ad4-a425-f5d7e1e87951","year":null},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.108977Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:8e1d78e2eb35dc1041120e69f9374e1049689fcc3a148800b4acf4fa524a51a9","observation_id":"21a4ecd0-9d61-4b63-baf7-616d836273f8","resolution":{"observed_at":"2026-08-14T15:18:52.362789Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.691890Z","title":"Kokocki, Total integrals of solutions for the Painle v´ e II equation and singluarity forma- tion in the vortex patch dynamics, preprint arXiv:1808.090 39","venue":null,"work_id":"6c15502b-e5bf-4e64-843a-ccdbeab5bd1f","year":null},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.114476Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:2819ebbcea6f5b47e300e2b15d1ffb59ef0b384b048acdcfd82072c705a0d2ba","observation_id":"f9a62578-8108-4537-9005-6aaaa1c7b0e7","resolution":{"observed_at":"2026-08-14T15:18:52.698215Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.669512Z","title":"Kuijlaars, K","venue":null,"work_id":"884763c5-6712-4f90-967a-131c82d732d5","year":2004},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.123382Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:e0769401effdc7bf6bee932e9d1b7d2de96f5296c81c69f9aebc2063cf69508b","observation_id":"3c4eef82-cfc3-4cb4-99b2-51549c6a5228","resolution":{"observed_at":"2026-08-14T15:18:52.677784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.639123Z","title":"Mehta, Random Matrices, 3rd ed., Elsevier/Academic Press, Amsterdam, 2004","venue":null,"work_id":"5bca0449-35b8-4c12-aede-e8427a4a7f4d","year":2004},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.135816Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:d134ead95a3997e395025ef411a9b08a1a73cbc12ac4f7a51a6f07c2509afe7f","observation_id":"d91285f6-f2d7-49cb-a34c-fb495ffbbf56","resolution":{"observed_at":"2026-08-14T15:18:52.650728Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.602315Z","title":"Miller, On the increasing tritronqu´ ee solutions of the Painlev´ e-II equation, SIGMA Symmetry Integrability Geom","venue":null,"work_id":"e6af0992-c247-441e-93f9-c79b0b433c87","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.143686Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:c4dda630077af4f7d0d116efc00370b9ce789add3313c47691e1b1e618a4fae3","observation_id":"fdf6f4fa-6bc1-4bfa-bda6-21cd3d0a020a","resolution":{"observed_at":"2026-08-14T15:18:52.616329Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.569521Z","title":"Olver, A.B","venue":null,"work_id":"b0bf11cf-3f27-43af-9995-a729fffb69a2","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.151681Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:5be15b5b14cb60b1652f0b3c6d850a08a5c4d4076602c3b02851bb062bd96184","observation_id":"d045523e-7935-42f3-8304-2690fd2eff86","resolution":{"observed_at":"2026-08-14T15:18:52.577160Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.542562Z","title":"Segur and M","venue":null,"work_id":"4d680aa2-cbca-460d-9fb7-15c6bc08f6c7","year":1981},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.160532Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:9725fd1614e8e3c39b991ac788b2587a9ab5c779bf7f62f495cb07ef91f1694d","observation_id":"344aea3b-7754-447b-8f02-2e4c8c47ae32","resolution":{"observed_at":"2026-08-14T15:18:52.549762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.516510Z","title":"Tracy, Asymptotics of the τ-function arising in the two-dimensional Ising model, Comm","venue":null,"work_id":"9c1de88f-3f6f-4b05-8804-d59739c5daff","year":1991},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.168042Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:9636fd61deb32479411e5e6e655a1815d6b980d33ac5defe12f2c44dfe3255d8","observation_id":"e261a715-773e-453e-825e-7db95fd732a9","resolution":{"observed_at":"2026-08-14T15:18:52.524895Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.492824Z","title":"Tracy and H","venue":null,"work_id":"7e891759-2a7a-4361-a2ab-8c090949ae76","year":1994},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.178096Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:6712a5774545ae289aa44b1456bf263c39c84c82bc0cda4180afd05d1bf04396","observation_id":"c88c90e5-4d3d-44af-8184-a19b4d02a137","resolution":{"observed_at":"2026-08-14T15:18:52.498354Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.470658Z","title":"Tracy and H","venue":null,"work_id":"d71e5581-dffb-4cd6-9fec-4048ecbbb360","year":1994},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.183789Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:d2c3a9c39ec7219ff99161fa4ab4fea832d68027679b248a0a1ff66a0ea35b7b","observation_id":"a0b7f739-c2fd-4745-8225-c493629d6642","resolution":{"observed_at":"2026-08-14T15:18:52.477725Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.444565Z","title":"Tracy and H","venue":null,"work_id":"8363326e-da0d-4a37-a64e-a28ad2fc02c7","year":1996},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.193159Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:40bef0ddc62d222b5c7f7e03b47ce4305f6581a5556203511b82d1f1c9ebf41c","observation_id":"ba369baa-42a6-4a8a-aef0-6828e040469b","resolution":{"observed_at":"2026-08-14T15:18:52.452328Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.418756Z","title":"Wu, S.-X","venue":null,"work_id":"ec6cabef-2fab-43d8-bc9a-aa07b2e43c68","year":2018},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.202680Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:b85a47bed2c7db5da5156d7e5a36b6354f4c59f9079edf8ffdd793c1b8715f9a","observation_id":"4f85d8ee-fc4a-41d1-8b55-465f4ffa8fdc","resolution":{"observed_at":"2026-08-14T15:18:52.425791Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:18:52.386984Z","title":"Xu and D","venue":null,"work_id":"7b9b1df9-9cb9-4bcb-aa71-d745e97cda7b","year":2019},"citing_paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation","version":2},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-14T15:18:52.208040Z"},"links":{"citing_paper":"/paper/1908.01532"},"observation_digest":"sha256:da08fb7b4f1f2c4b8d6ba2a95aaa4f0602e392ee0762a56e56542ef2ed353c5a","observation_id":"887fc251-6900-430b-a7aa-aa631758be7c","resolution":{"observed_at":"2026-08-14T15:18:52.397798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.01532","last_updated":"2020-02-03T15:03:12Z","latest_version":2,"primary_category":"math-ph","snapshot_observed_at":"2026-08-14T15:07:58.553744Z","submitted_at":"2019-08-05T09:30:47Z","title":"On integrals of the tronqu\\'{e}e solutions and the associated Hamiltonians for the Painlev\\'{e} II equation"},"reference_resolution":{"displayed":52,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":1,"verified_fuzzy":47},"total_outbound_references":52},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:1908.01532."}