{"as_of":"2026-08-16T15:34:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:c9a7818962ed2b67eeabe28abec7d2b885b0471791ce4350040e43e9fff853f2","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:24:27.849562Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"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/1908.01278/citation-record","integrity":"/paper/1908.01278/integrity","json":"/paper/1908.01278/citation-record.json","paper":"/paper/1908.01278"},"outbound":[{"citation":{"cited_paper":{"arxiv_id":"chao-dyn/9507010","last_updated":"1995-08-15T00:52:30Z","snapshot_observed_at":"2026-08-16T01:30:07.594968Z","submitted_at":"1995-07-31T01:25:16Z","title":"A $q$-anaolg of the sixth Painlev\\'e equation","version":2},"cited_work":{"arxiv_id":"chao-dyn/9507010","doi":null,"metadata_source":"pith","pith_arxiv_id":"chao-dyn/9507010","snapshot_observed_at":"2026-08-14T15:24:28.256041Z","title":"A $q$-anaolg of the sixth Painlev\\'e equation","venue":"chao-dyn","work_id":"ef7cc1fe-8d41-4769-8a35-4fe6a12aa2e6","year":1995},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.675534Z"},"links":{"cited_paper":"/paper/chao-dyn/9507010","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:129cf18aadf106c0dbde97fb4f49fc83de58ef862c2778b7b8bc5d014c2db0fb","observation_id":"ead350c3-4a5a-4e5a-aea2-476597b8a0c5","resolution":{"observed_at":"2026-08-14T15:24:28.261098Z","resolver_source":"local_arxiv","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":{"arxiv_id":"hep-th/9209100","last_updated":"1992-09-25T01:27:39Z","snapshot_observed_at":"2026-07-07T05:01:45.439588Z","submitted_at":"1992-09-25T01:27:39Z","title":"On the Continuum Limit of the Conformal Matrix Models","version":1},"cited_work":{"arxiv_id":"hep-th/9209100","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9209100","snapshot_observed_at":"2026-08-14T15:24:28.237839Z","title":"On the Continuum Limit of the Conformal Matrix Models","venue":"hep-th","work_id":"1d93cc31-7ecb-481d-be08-c19a43fcd906","year":1992},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.680480Z"},"links":{"cited_paper":"/paper/hep-th/9209100","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:39da8c548f2a3480657e96c61b251eef5fe2075e8a6e503d090a0c18550cce2b","observation_id":"ecc7541b-a65c-430e-8433-995baec0f1e3","resolution":{"observed_at":"2026-08-14T15:24:28.242627Z","resolver_source":"local_arxiv","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":{"arxiv_id":"0909.2453","last_updated":"2009-09-13T23:21:36Z","snapshot_observed_at":"2026-08-15T05:39:11.818971Z","submitted_at":"2009-09-13T23:21:36Z","title":"Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0909.2453","snapshot_observed_at":"2026-08-14T15:24:27.685529Z","title":"Dijkgraaf, C","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.685529Z"},"links":{"cited_paper":"/paper/0909.2453","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:51ed9472347770a4a9664fb5b38b800dd8695f14313c70022867274e1c3540e3","observation_id":"3b605caa-6198-46de-aa5e-fba8457df805","resolution":{"observed_at":"2026-08-14T15:24:27.685529Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0906.3219","last_updated":"2010-02-09T15:57:35Z","snapshot_observed_at":"2026-08-15T05:45:45.366504Z","submitted_at":"2009-06-17T15:51:28Z","title":"Liouville Correlation Functions from Four-dimensional Gauge Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0906.3219","snapshot_observed_at":"2026-08-14T15:24:27.690318Z","title":"Alday, D","venue":null,"work_id":null,"year":2010},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.690318Z"},"links":{"cited_paper":"/paper/0906.3219","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:421fa730f17d4b523f06654621ccb9cf7af31fb4da46f5bf478918f453a2ae36","observation_id":"a37f2823-5f71-49d5-bcab-007a4d8b4db8","resolution":{"observed_at":"2026-08-14T15:24:27.690318Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.404102Z","title":"Belavin, A","venue":null,"work_id":"7ae465f7-649c-4ab2-9d32-00cd2447c9c0","year":1984},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.696069Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:e11b2704706c8ba4b357dada050230c18771d5a400385c7f21eee7c8def3834f","observation_id":"bbc8f6dd-8870-4807-b011-f1c6f82ad3c8","resolution":{"observed_at":"2026-08-14T15:24:28.409924Z","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":{"arxiv_id":"hep-th/0206161","last_updated":"2002-06-18T17:52:59Z","snapshot_observed_at":"2026-08-07T01:20:32.080330Z","submitted_at":"2002-06-18T17:52:59Z","title":"Seiberg-Witten Prepotential From Instanton Counting","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0206161","snapshot_observed_at":"2026-08-14T15:24:27.700377Z","title":"Nekrasov, Adv","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.700377Z"},"links":{"cited_paper":"/paper/hep-th/0206161","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:000aede83cb4e5f5fb17d920c417f6f46ac22d01ba2465ecb477e89f9dcc0f95","observation_id":"24ccc5ce-1bce-470a-a8aa-15341173a1eb","resolution":{"observed_at":"2026-08-14T15:24:27.700377Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9502091","last_updated":"1995-02-14T23:13:47Z","snapshot_observed_at":"2026-07-07T05:07:32.165545Z","submitted_at":"1995-02-14T23:13:47Z","title":"Matrix Models as Integrable Systems","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9502091","snapshot_observed_at":"2026-08-14T15:24:27.704993Z","title":"Morozov, Phys.Usp.(UFN) 35 (1992) 671-714; 37 (1994) 1; hep-th/9502091; hep-th/0502010 A","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.704993Z"},"links":{"cited_paper":"/paper/hep-th/9502091","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:762ba3ec1ee64aafe2da5af0faf950c64880558e275f70c5f0db14df50abd911","observation_id":"34d8f4fa-12a5-4027-803a-ad0845491da1","resolution":{"observed_at":"2026-08-14T15:24:27.704993Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.390528Z","title":"David, Mod.Phys.Lett","venue":null,"work_id":"4ab64e4f-25a9-4ae6-a75a-3eeedd91f62b","year":1990},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.709586Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:f7218d55f6e821d855a8adfd5b351ffa73fbf0d6eb84e3218dcec5086e3c4410","observation_id":"0a34ce7e-f927-4a61-8e68-0b59138fde59","resolution":{"observed_at":"2026-08-14T15:24:28.395155Z","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":{"arxiv_id":"1202.6029","last_updated":"2012-02-27T19:14:57Z","snapshot_observed_at":"2026-08-15T04:17:59.067238Z","submitted_at":"2012-02-27T19:14:57Z","title":"Comment on integrability in Dijkgraaf-Vafa beta-ensembles","version":1},"cited_work":{"arxiv_id":"1202.6029","doi":null,"metadata_source":"pith","pith_arxiv_id":"1202.6029","snapshot_observed_at":"2026-08-14T15:24:28.168765Z","title":"Comment on integrability in Dijkgraaf-Vafa beta-ensembles","venue":"hep-th","work_id":"ffba4a2f-81d8-4660-9d9f-c28f070bd4f9","year":2012},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.714190Z"},"links":{"cited_paper":"/paper/1202.6029","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:6d5fc920790347af8d9b4d355fcf5a770ec05a415fc7aed59f2a22f0888ab52c","observation_id":"2abf9202-4ce0-4eff-8372-cacefa1ecc5e","resolution":{"observed_at":"2026-08-14T15:24:28.173698Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1707.02443","last_updated":"2017-07-15T07:00:11Z","snapshot_observed_at":"2026-08-14T20:48:53.994841Z","submitted_at":"2017-07-08T13:47:20Z","title":"On determinant representation and integrability of Nekrasov functions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1707.02443","snapshot_observed_at":"2026-08-14T15:24:27.718175Z","title":"B773 (2017) 34-46, arXiv:1707.02443","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.718175Z"},"links":{"cited_paper":"/paper/1707.02443","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:6e8bfd5214e83d53b3c3a4ea3e0e15b8211e48316835e9bba25717feb387dcdf","observation_id":"f9ddd8bf-1a24-4238-9b91-534713c20e19","resolution":{"observed_at":"2026-08-14T15:24:27.718175Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1207.0787","last_updated":"2012-10-03T22:40:24Z","snapshot_observed_at":"2026-08-15T00:54:29.716903Z","submitted_at":"2012-07-03T19:14:18Z","title":"Conformal field theory of Painlev\\'e VI","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1207.0787","snapshot_observed_at":"2026-08-14T15:24:27.722962Z","title":"Gamayun, N","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.722962Z"},"links":{"cited_paper":"/paper/1207.0787","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:034d51cd243859af61c584b79dd0b82ff6d2aad79415ffe41eca3592bb69ea4c","observation_id":"05468982-ceec-42be-b5d4-48fa2907e56c","resolution":{"observed_at":"2026-08-14T15:24:27.722962Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1710.11603","last_updated":"2018-01-01T20:49:43Z","snapshot_observed_at":"2026-08-14T20:18:24.354959Z","submitted_at":"2017-10-31T17:30:47Z","title":"Quantum curves and $q$-deformed Painlev\\'e equations","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1710.11603","snapshot_observed_at":"2026-08-14T15:24:27.728029Z","title":"Bonelli, A","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.728029Z"},"links":{"cited_paper":"/paper/1710.11603","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:5b51ad617b6d599d7e0d3e400538f922fbd89ac6fe83fe07c5153dd630b6d729","observation_id":"6d2974ae-d8df-4366-88b3-a6bdff81bf03","resolution":{"observed_at":"2026-08-14T15:24:27.728029Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1803.02320","last_updated":"2018-09-19T15:03:48Z","snapshot_observed_at":"2026-08-14T19:38:55.456013Z","submitted_at":"2018-03-06T18:13:55Z","title":"Argyres-Douglas theories, Painlev\\'e II and quantum mechanics","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1803.02320","snapshot_observed_at":"2026-08-14T15:24:27.732579Z","title":"Grassi, J","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.732579Z"},"links":{"cited_paper":"/paper/1803.02320","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:3982a0ed444000272965d98bf5fa7b0424d26e568f2c93c66a68c2711f963400","observation_id":"e4b59807-6805-4908-8133-12b7a5edfe1e","resolution":{"observed_at":"2026-08-14T15:24:27.732579Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.379221Z","title":"Sakai, Nonlinearity, 11 (1998) 823-833","venue":null,"work_id":"060b166f-69da-46e3-a097-39bde2c062bd","year":1998},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.736894Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:41458efc06c0b4eb267f739f3b0cf217fd7831dae5c6d19d814bddb42af38703","observation_id":"b350f5ff-a272-4670-a25f-490e1ef345eb","resolution":{"observed_at":"2026-08-14T15:24:28.383197Z","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":{"arxiv_id":"hep-th/0506075","last_updated":"2005-06-09T19:25:01Z","snapshot_observed_at":"2026-08-03T00:58:53.839984Z","submitted_at":"2005-06-09T19:25:01Z","title":"Complex Geometry of Matrix Models","version":1},"cited_work":{"arxiv_id":"hep-th/0506075","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/0506075","snapshot_observed_at":"2026-08-14T15:24:28.102125Z","title":"Complex Geometry of Matrix Models","venue":"hep-th","work_id":"dfdb676f-7cc2-4e43-b7ea-8c431073448d","year":2005},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.742013Z"},"links":{"cited_paper":"/paper/hep-th/0506075","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:b2a97e613e4d1ed8018c68a5badac3a709cad2a14d2ca9f4d07d23d524289b0a","observation_id":"117ab21d-91d4-475f-ae4a-d6cc596f1129","resolution":{"observed_at":"2026-08-14T15:24:28.106950Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":{"arxiv_id":"hep-th/0506158","last_updated":"2005-06-20T19:43:25Z","snapshot_observed_at":"2026-08-02T16:22:03.899072Z","submitted_at":"2005-06-20T19:43:25Z","title":"Matrix Models vs. Matrix Integrals","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0506158","snapshot_observed_at":"2026-08-14T15:24:27.746953Z","title":"Mironov, Theor.Math.Phys","venue":null,"work_id":null,"year":2006},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.746953Z"},"links":{"cited_paper":"/paper/hep-th/0506158","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:03682ea2a895cac6d9dd35c15216d50dacfb9e7aa3d5056a8f6e545a46558988","observation_id":"cdcf92fa-d567-43e7-9740-08fd6c3e1a7d","resolution":{"observed_at":"2026-08-14T15:24:27.746953Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/0206255","last_updated":"2002-08-11T14:02:21Z","snapshot_observed_at":"2026-07-07T04:43:56.953815Z","submitted_at":"2002-06-28T17:14:19Z","title":"Matrix Models, Topological Strings, and Supersymmetric Gauge Theories","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/0206255","snapshot_observed_at":"2026-08-14T15:24:27.751363Z","title":"Dijkgraaf, C","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.751363Z"},"links":{"cited_paper":"/paper/hep-th/0206255","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:8bb4a2d345c847074d1e3c903c8342c15ec18cf6f78393af5a2bc3d6b1830200","observation_id":"13573d5a-6326-4d4f-bea1-3ce890218be8","resolution":{"observed_at":"2026-08-14T15:24:27.751363Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"0811.2825","last_updated":"2008-12-09T13:27:03Z","snapshot_observed_at":"2026-08-15T10:01:48.580659Z","submitted_at":"2008-11-17T23:40:50Z","title":"Partition Functions of Matrix Models as the First Special Functions of String Theory. II. Kontsevich Model","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"0811.2825","snapshot_observed_at":"2026-08-14T15:24:27.756103Z","title":"A24 (2009) 4939-4998, arXiv:0811.2825","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.756103Z"},"links":{"cited_paper":"/paper/0811.2825","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:1797c2764ee3f9929d026b600ff262bcdf18eb8567196501ff6e69a6e59db716","observation_id":"32b95211-9e3e-43ff-9b39-0c8b851d6470","resolution":{"observed_at":"2026-08-14T15:24:27.756103Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"hep-th/9201013","last_updated":"1992-01-08T19:09:00Z","snapshot_observed_at":"2026-07-07T05:00:53.818971Z","submitted_at":"1992-01-08T19:09:00Z","title":"Towards unified theory of $2d$ gravity","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"hep-th/9201013","snapshot_observed_at":"2026-08-14T15:24:27.760542Z","title":"Kharchev, A","venue":null,"work_id":null,"year":1992},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.760542Z"},"links":{"cited_paper":"/paper/hep-th/9201013","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:6b6213294b51461907349d3a0779af78579c16e54e4848f1d93b79d1102a4bf7","observation_id":"3f6c2eac-e2d7-423e-932f-69d7da049238","resolution":{"observed_at":"2026-08-14T15:24:27.760542Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.367957Z","title":"Fukuma, H","venue":null,"work_id":"193d2a58-59ed-4950-a32f-2aedb4280006","year":1991},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.765947Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:cb633ee183e5e5569c4412641680048b3cfefacc1fe9c419172dfb1877f5188e","observation_id":"4fa39847-a377-459c-b4ad-b960b3159dbd","resolution":{"observed_at":"2026-08-14T15:24:28.371895Z","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":{"arxiv_id":"1509.08186","last_updated":"2017-01-22T15:24:13Z","snapshot_observed_at":"2026-08-14T22:30:37.122007Z","submitted_at":"2015-09-28T03:47:50Z","title":"Geometric Aspects of Painlev\\'e Equations","version":8},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1509.08186","snapshot_observed_at":"2026-08-14T15:24:27.772114Z","title":"Kajiwara, M","venue":null,"work_id":null,"year":2017},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.772114Z"},"links":{"cited_paper":"/paper/1509.08186","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:45efa2f715e1affe127679b25cfdbed77f71c4224db2ac2562f3766f3ece37ae","observation_id":"9f8b4a69-6939-4a59-91a1-37d4be4e2f81","resolution":{"observed_at":"2026-08-14T15:24:27.772114Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.356265Z","title":"Gerasimov, A","venue":null,"work_id":"03eecc1e-538a-4c49-bcbc-17501b8a39c9","year":1991},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.776771Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:70f4c2d8b8a2ca3a729d728e6d0096fc31fd2cbbe945ec55b4c5fc9dd3485c86","observation_id":"c01751d5-f082-4997-9701-3818888e6f2b","resolution":{"observed_at":"2026-08-14T15:24:28.360497Z","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":"2026-08-14T15:24:28.341993Z","title":"Miwa, Proceedings of the Japan Academy , 58 (1982)","venue":null,"work_id":"06f64c81-4f95-49a7-ad38-6b8a34097659","year":1982},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.781300Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:c019cd438a58483c1e473086906b299817f9932fc9a404d0189ec8f23d0aa4b3","observation_id":"8c23c9e6-befc-44f5-bd8f-343d51cd7b96","resolution":{"observed_at":"2026-08-14T15:24:28.345832Z","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":{"arxiv_id":"hep-th/9203043","last_updated":"1992-03-18T02:56:44Z","snapshot_observed_at":"2026-07-07T05:01:04.346742Z","submitted_at":"1992-03-18T02:56:44Z","title":"Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models","version":1},"cited_work":{"arxiv_id":"hep-th/9203043","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9203043","snapshot_observed_at":"2026-08-14T15:24:28.015479Z","title":"Generalized Kontsevich Model Versus Toda Hierarchy and Discrete Matrix Models","venue":"hep-th","work_id":"bfd7da6d-380b-48d1-b2b7-7fe06c28ef08","year":1992},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.785768Z"},"links":{"cited_paper":"/paper/hep-th/9203043","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:77cd881c7a05da4c3c12f812b85d2f688c17268f52e6adfc36f099087c5fe008","observation_id":"da40faad-b981-4cda-b46c-33ac622428f6","resolution":{"observed_at":"2026-08-14T15:24:28.020172Z","resolver_source":"local_arxiv","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":{"arxiv_id":"hep-th/9810091","last_updated":"1998-10-13T16:53:38Z","snapshot_observed_at":"2026-08-13T08:53:36.105481Z","submitted_at":"1998-10-13T16:53:38Z","title":"Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model","version":1},"cited_work":{"arxiv_id":"hep-th/9810091","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9810091","snapshot_observed_at":"2026-08-14T15:24:27.997538Z","title":"Kadomtsev-Petviashvili Hierarchy and Generalized Kontsevich Model","venue":"hep-th","work_id":"c5722d74-f8c6-486e-8721-03a47a8b83f7","year":1998},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.791296Z"},"links":{"cited_paper":"/paper/hep-th/9810091","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:77045606a66be76ff168496333b697b334b743ca7b24754225a1c79b1fc035f1","observation_id":"c3ca28b8-120f-4455-a733-bf7f4fd3a2fe","resolution":{"observed_at":"2026-08-14T15:24:28.002214Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"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":{"arxiv_id":"1212.6049","last_updated":"2013-09-24T08:10:22Z","snapshot_observed_at":"2026-08-15T00:34:32.180747Z","submitted_at":"2012-12-25T13:42:13Z","title":"Free fermions and tau-functions","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1212.6049","snapshot_observed_at":"2026-08-14T15:24:27.796080Z","title":"Alexandrov, A","venue":null,"work_id":null,"year":2013},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.796080Z"},"links":{"cited_paper":"/paper/1212.6049","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:762fbcdb60eeb4ec0d7bb5b90e6157ecc9b2828901f2e2a8dadd78035fc6ec23","observation_id":"8b349ba4-6a51-4450-aca3-c8fb15906028","resolution":{"observed_at":"2026-08-14T15:24:27.796080Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.329972Z","title":null,"venue":null,"work_id":"618f0862-0ad7-4e7b-ba02-6a0634ca5e16","year":1983},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.800888Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:fa2be93d6b6433bad0bc81436f86b5d1bb149be0056b3b97b743d483aa58e94d","observation_id":"010c8eac-975d-4e73-888c-703bfe131cf6","resolution":{"observed_at":"2026-08-14T15:24:28.333704Z","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":{"arxiv_id":"1105.0948","last_updated":"2011-05-04T21:26:41Z","snapshot_observed_at":"2026-08-16T07:12:52.790399Z","submitted_at":"2011-05-04T21:26:41Z","title":"Proving AGT conjecture as HS duality: extension to five dimensions","version":1},"cited_work":{"arxiv_id":"1105.0948","doi":null,"metadata_source":"pith","pith_arxiv_id":"1105.0948","snapshot_observed_at":"2026-08-14T15:24:27.970927Z","title":"Proving AGT conjecture as HS duality: extension to five dimensions","venue":"hep-th","work_id":"8ca192f4-3940-4386-be01-024d5698e7b6","year":2011},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.805075Z"},"links":{"cited_paper":"/paper/1105.0948","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:0e183da8d8857d45a207e6cd13ae0662d092d210b4b03e8df21c2f7ce483aa3e","observation_id":"a2597302-015e-41ee-b60d-9e1c5b107e61","resolution":{"observed_at":"2026-08-14T15:24:27.975114Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1602.01209","last_updated":"2016-02-29T08:37:08Z","snapshot_observed_at":"2026-08-14T22:11:55.291607Z","submitted_at":"2016-02-03T06:59:46Z","title":"q-Vertex Operator from 5D Nekrasov Function","version":2},"cited_work":{"arxiv_id":"1602.01209","doi":null,"metadata_source":"pith","pith_arxiv_id":"1602.01209","snapshot_observed_at":"2026-08-14T15:24:27.953999Z","title":"q-Vertex Operator from 5D Nekrasov Function","venue":"hep-th","work_id":"05fbb5cf-5418-44ea-bad6-6541e8b55ed7","year":2016},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.809665Z"},"links":{"cited_paper":"/paper/1602.01209","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:b19577534a9b13efd857e5c53f5f74599b21bc14b3f668b29851781d4a269fb4","observation_id":"4d447d15-5ff2-4704-9f30-ca26e929d7c5","resolution":{"observed_at":"2026-08-14T15:24:27.959085Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1511.03471","last_updated":"2015-12-02T20:13:18Z","snapshot_observed_at":"2026-08-14T22:23:53.547940Z","submitted_at":"2015-11-11T12:12:45Z","title":"q-Virasoro constraints in matrix models","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1511.03471","snapshot_observed_at":"2026-08-14T15:24:27.814545Z","title":"Nedelin, M","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.814545Z"},"links":{"cited_paper":"/paper/1511.03471","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:e210020e0c5eb4fb61a4c8c2bf78defe067cea253a2c505d0cd30dc204ef13e8","observation_id":"39c7fbca-c93a-4ac5-a1ce-8a97254bc2d3","resolution":{"observed_at":"2026-08-14T15:24:27.814545Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1711.02063","last_updated":"2018-02-12T22:01:52Z","snapshot_observed_at":"2026-08-14T20:16:29.981184Z","submitted_at":"2017-11-06T18:17:57Z","title":"Cluster integrable systems, q-Painleve equations and their quantization","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1711.02063","snapshot_observed_at":"2026-08-14T15:24:27.819523Z","title":"Bershtein, P","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.819523Z"},"links":{"cited_paper":"/paper/1711.02063","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:9f52f46ae2216b17a6bf1df7967590f50447613c7b716b8be672ffe89b0e3081","observation_id":"50afc142-393f-4e1c-a289-7945c7adf4e6","resolution":{"observed_at":"2026-08-14T15:24:27.819523Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.313707Z","title":"Gasper, M","venue":null,"work_id":"46b1ee14-e92e-4be9-9b33-17a97ec73636","year":1990},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.823902Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:7e8733d0ffe4165d6d9c7114545825288a8ae5bac22ca03a9edce9f5345473e4","observation_id":"43de61e1-feb9-4162-ae9f-4dcfc331728e","resolution":{"observed_at":"2026-08-14T15:24:28.319102Z","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":{"arxiv_id":"1706.01940","last_updated":"2017-08-17T14:58:09Z","snapshot_observed_at":"2026-08-14T20:55:41.121810Z","submitted_at":"2017-06-06T19:35:06Z","title":"CFT approach to the $q$-Painlev\\'e VI equation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1706.01940","snapshot_observed_at":"2026-08-14T15:24:27.828032Z","title":null,"venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.828032Z"},"links":{"cited_paper":"/paper/1706.01940","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:b3da05ae59d23d08a3d9984708ccb028d6c7921ed94451b5e922ebb4366e6982","observation_id":"bca456d6-a112-49a8-a954-85ceca9bcd2b","resolution":{"observed_at":"2026-08-14T15:24:27.828032Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.299243Z","title":"Tsuda, T","venue":null,"work_id":"d6afe9e0-22d7-45a3-9d59-a980eeb72a0d","year":2006},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.832121Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:96ff023f58386ec4924aca303cb49f24a0087dfa35ec1ac7e04504c95f5a6f08","observation_id":"ae76f37a-855c-4b64-975d-3b9fd184311d","resolution":{"observed_at":"2026-08-14T15:24:28.303525Z","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":{"arxiv_id":"hep-th/9312213","last_updated":"1994-01-12T17:08:00Z","snapshot_observed_at":"2026-08-08T08:54:30.055984Z","submitted_at":"1993-12-31T14:43:00Z","title":"On a c-number quantum $\\tau$-function","version":2},"cited_work":{"arxiv_id":"hep-th/9312213","doi":null,"metadata_source":"pith","pith_arxiv_id":"hep-th/9312213","snapshot_observed_at":"2026-08-14T15:24:27.902161Z","title":"On a c-number quantum $\\tau$-function","venue":"hep-th","work_id":"999d87df-f2e5-4dbd-bd0c-312f44724fa3","year":1993},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.836361Z"},"links":{"cited_paper":"/paper/hep-th/9312213","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:8c634fda94c0d85f6ab3263c00753b05abc1f9f3b8289fbedc9bd3ccc022a7fe","observation_id":"49ea55da-11fc-4383-aa4a-ea9034a701c9","resolution":{"observed_at":"2026-08-14T15:24:27.907785Z","resolver_source":"local_arxiv","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":{"arxiv_id":"1708.07479","last_updated":"2017-08-24T16:13:41Z","snapshot_observed_at":"2026-08-14T20:39:16.281947Z","submitted_at":"2017-08-24T16:13:41Z","title":"q-Painleve equation from Virasoro constraints","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1708.07479","snapshot_observed_at":"2026-08-14T15:24:27.841504Z","title":"Mironov, A","venue":null,"work_id":null,"year":2018},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.841504Z"},"links":{"cited_paper":"/paper/1708.07479","citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:82b20622bf2484fb1b6c41f74ec32907cc68f929ebbaee24c52ebabbda31cd18","observation_id":"817dc56b-5250-4531-9674-36f51a879f17","resolution":{"observed_at":"2026-08-14T15:24:27.841504Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:24:28.284869Z","title":"Brezin, V","venue":null,"work_id":"cd60c2b3-ff14-48fc-b3ac-81813eeec6eb","year":1990},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.845609Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:9b2934f3730d123f35e62911bdaa5ceb4c6c2f81ab4acb44659b666c6a8e876d","observation_id":"3e76c5df-f6ab-417f-9de5-91a685a4da82","resolution":{"observed_at":"2026-08-14T15:24:28.289554Z","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":"2026-08-14T15:24:28.269363Z","title":"Ablowitz, H","venue":null,"work_id":"c7aa80f0-1e3e-422f-858a-c9bea2628b94","year":1981},"citing_paper":{"arxiv_id":"1908.01278","last_updated":"2019-09-16T14:37:39Z","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models","version":2},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-14T15:24:27.849562Z"},"links":{"citing_paper":"/paper/1908.01278"},"observation_digest":"sha256:c5f2007c155d156037be0deee18c77b935e5faaa7a8f90caf8e236b3528183d6","observation_id":"21c80322-cde4-4dea-bb5c-2b4f99778418","resolution":{"observed_at":"2026-08-14T15:24:28.273874Z","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":"1908.01278","last_updated":"2019-09-16T14:37:39Z","latest_version":2,"primary_category":"hep-th","snapshot_observed_at":"2026-08-16T01:22:30.026803Z","submitted_at":"2019-08-04T06:24:53Z","title":"Discrete Painleve equation, Miwa variables, and string equation in 5d matrix models"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":2,"parse_uncertain":0,"unresolved":19,"verified_exact":7,"verified_fuzzy":10},"total_outbound_references":38},"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 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.01278."}