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Paper Citation Record · LEDGER

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation

As of 12 August 2026, this Paper Citation Record lists 85 of 85 outbound references and 0 inbound Pith citation observations for arXiv:2602.09756.

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pith.paper-citation-record.v1
2602.09756 v3

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measured 85 of 85 reference resolution

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Outbound references

Observation 92977f6f-5b0e-4cd7-9908-ed4947289d46 · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

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Observation f909ba04-e47d-4aa0-9c5c-eb383700507c · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Novokshenov V.Yu., Asymptotics of solutions of the discrete Painlev ´e I equation,Math

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Observation aa8b8b2c-9a61-47a5-9831-45f29c63e5ff · outbound

This paper cites Why is my rational Painlev\'e V solution not unique?.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Why is my rational Painlev\'e V solution not unique?

Reference 3

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Observation 3e8f480f-2675-4196-9b1a-104828cdcba3 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Zimerman A.H., Two-fold degeneracy of a class of rational Painlev ´e V solutions,Open Commun

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Observation 7647aab6-a4f4-4755-94e0-7db730d88fad · outbound

This paper cites Quantum Minimal Surfaces.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Quantum Minimal Surfaces

Reference 5

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Observation e1d13c82-6b14-411c-97a7-4c5b075e2475 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Bertola M., Rational solutions of Painlev´e V from Hankel determinants and the asymptotics of their pole locations,SIGMA,21(2025) 097

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Observation fc62f3a9-24e8-4de9-ac07-37c2f06d457a · outbound

This paper cites and Zuber J.B., Quantum field theory techniques in graphical enumeration,Adv.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Zuber J.B., Quantum field theory techniques in graphical enumeration,Adv

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Observation e9aa80ae-6896-4734-9d64-8f9c4f376712 · outbound

This paper cites and Nevai P., Orthogonal polynomials and their derivatives.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Nevai P., Orthogonal polynomials and their derivatives

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Observation 9c8b97ca-b7c4-42fb-94cd-ec6c8f25a42f · outbound

This paper cites and Kazakov V.A., Exactly solvable field theories of closed strings,Phys.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Kazakov V.A., Exactly solvable field theories of closed strings,Phys

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Observation 53729211-c3d1-48fc-93dd-b6e792bcf19d · outbound

This paper cites and Huerta M., Entanglement and alpha entropies for a massive Dirac field in two dimensions.,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Huerta M., Entanglement and alpha entropies for a massive Dirac field in two dimensions.,J

Reference 10

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Observation 146aa38d-b4e9-4a27-98cf-e8312b17835a · outbound

This paper cites and Huerta M., Entanglement and alpha entropies for a massive scalar field in two dimensions,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Huerta M., Entanglement and alpha entropies for a massive scalar field in two dimensions,J

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Observation 2d16447f-3ccc-4be7-866a-96212b100624 · outbound

This paper cites and Huerta M., Analytic results on the geometric entropy for free fields,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Huerta M., Analytic results on the geometric entropy for free fields,J

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Observation 33a6aaa8-152d-4e31-91aa-a321889f7849 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 13

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Observation 00a88c28-e0cc-4210-a4aa-6a666f9c2584 · outbound

This paper cites and Van Assche W.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Van Assche W

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Observation bad66ea9-99c6-4d01-aa9a-6f26b6fed468 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

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Observation 4d1db27c-1dc8-49ed-8bc0-785ff72d3f24 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Dunning C., Rational solutions of the fifth Painlev´e equation

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Observation 32c090d4-e5dc-477a-aaa8-ba9727465e19 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Mitchell B., Special solutions of a discrete Painlev ´e equation for quantum minimal surfaces,Theo

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Observation 292ec1ca-c1f0-4da2-b711-6ef1dc7d3d01 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Webster H.N., On the relation between the continuous and discrete Painlev´e equations,Theo

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Observation 03d8db1f-4ca4-42b4-83e1-b557f77a3ceb · outbound

This paper cites and Joshi N., The discrete first, second and thirty-fourth Painlev´e hierarchies,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Joshi N., The discrete first, second and thirty-fourth Painlev´e hierarchies,J

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Observation aa25ee5e-da47-47cd-8797-73d043186a3c · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Willox R., What is the symmetry group of a d-P II discrete Painlev ´e equation?,Mathematics,13(2025) 1123

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Observation 044d6f97-6a4e-4a66-97fb-afcd91a73084 · outbound

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Observation 4f21a96f-1472-499c-b5ed-15f6e13fea17 · outbound

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Observation d475e5bd-09b3-4549-9a81-f451828857ce · outbound

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Observation 50615c4f-4fea-4592-9788-9afe9ea3b33f · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

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source=pdf_text observed=2026-08-03T02:57:46.078026Z digest=sha256:268ff56ade213f3e69b662d3befb3e234866f44aadb8b5f621819ad38623577c

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source=pdf_text observed=2026-08-03T02:57:46.087469Z digest=sha256:7e4bb5f8cade9594c0e35c66945ae629a084930f9201c4d5f506f24a3141c4f1

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Observation e13fd7d1-0af8-49b0-b672-3bc5f6a23603 · outbound

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source=pdf_text observed=2026-08-03T02:57:46.134403Z digest=sha256:d296b0dc7425432da90c4afad584457f45dc6b446dce100072519a58c17a9af5

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Observation c6152a62-2602-436b-a47f-86acb7ce08dc · outbound

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source=pdf_text observed=2026-08-03T02:57:46.157226Z digest=sha256:decb216d4bf9f79dd46e4d1cb14430f923b3871f107a0917d681fe5799d9e4f3

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source=pdf_text observed=2026-08-03T02:57:46.169998Z digest=sha256:0b90c37ace9d2bcbb92ae5bf5be3efd3c791c9d0afc44c1c6afd9abcb3faa74c

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source=pdf_text observed=2026-08-03T02:57:46.194159Z digest=sha256:dc30925cf5a2b39a802e389e098d4f4f2cafb3e327b7a91104ee729aa106dd5d

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source=pdf_text observed=2026-08-03T02:57:46.235583Z digest=sha256:9a601c3794bbeccb76d5512f3cb9d8eacf2bc213bed13b646c96cd66bbef03b4

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source=pdf_text observed=2026-08-03T02:57:46.263782Z digest=sha256:e36b1378c1fbc0b77c440c2521965573d1797a9144324fab2f5596d3f8e2972b

Observation 725dc5ae-3ed3-4623-85ff-69e354797be2 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-03T02:57:46.308369Z digest=sha256:4ccd8d08918af122d14774cb3815095e5d182bafe7034a24a58b64b1721abf64

Observation 11ea44b8-058f-4ece-a17d-9b56c170834b · outbound

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source=pdf_text observed=2026-08-03T02:57:46.348497Z digest=sha256:258c3c06558650d372657a41684d57f3686d30de7fee0b23e6d4f16deb679891

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source=pdf_text observed=2026-08-03T02:57:46.381916Z digest=sha256:1fddb05b71de5c3f29e3ceb1c3108a4a5a3800a226d9b13ca7897514442f05f5

Observation 65549c8b-b2be-4ea0-958f-e90243b5bd9e · outbound

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source=pdf_text observed=2026-08-03T02:57:46.433487Z digest=sha256:78f90810dff09be0a8e42e7b9164ff9c75342f31c322ea3512ada3a39bdf5877

Observation 8688a1f7-d257-484d-a783-5e17397c7078 · outbound

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source=pdf_text observed=2026-08-03T02:57:46.472994Z digest=sha256:445ff8dce9dec63ef0d5d9a775d9cc16976b2c11781338aa0939798139399802

Observation 93ffe864-ccef-4501-b10c-2a191f8ec401 · outbound

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source=pdf_text observed=2026-08-03T02:57:46.505212Z digest=sha256:4453cd298a65e6d8b29a4a45394040c6e870dd02d38f1b9f84e528f010da1423

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source=pdf_text observed=2026-08-03T02:57:46.539488Z digest=sha256:20e5b9c6dba87eabfdf88d7b357169c6d1a4c7c6eff2f4ae057df7f4d4461ca9

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source=pdf_text observed=2026-08-03T02:57:46.573516Z digest=sha256:5aa6fc89348619cf8bfe05925dc599d6fbf610929a1884b47e05de969d40d151

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source=pdf_text observed=2026-08-03T02:57:46.617979Z digest=sha256:7c4858c09907ce775b168b3a0f21b48c32ed99018b093306073f135bad29a444

Observation d232c890-fe1f-4938-8434-9b119de26dc8 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-03T02:57:46.648513Z digest=sha256:8865019dbf5aa9009133c568f192ab124a7b84e64c5b20efbabac367c8140e9c

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source=pdf_text observed=2026-08-03T02:57:46.735015Z digest=sha256:099064bda5af2dc03ba8ae57db5867df16cb2d7cdbf0841e3f1c44a7b9cbd32a

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source=pdf_text observed=2026-08-03T02:57:46.776401Z digest=sha256:036712b0042d1f6a574e0b4fe1a1e009663046aa6cc129dddbee5e1e10603307

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source=pdf_text observed=2026-08-03T02:57:46.808592Z digest=sha256:6c4721fd2eca98a6d91b72e420a68a2a5cf4450174f03945511337c00d25537c

Observation 339e491d-c079-43fe-9a7a-a576ea1fcf4f · outbound

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source=pdf_text observed=2026-08-03T02:57:46.840137Z digest=sha256:0fae37ce77967d23024f35ba7c79ef8c26aa0709789ee7ae5c72080424d22261

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source=pdf_text observed=2026-08-03T02:57:46.878308Z digest=sha256:1039b087a987b1733592da7d5e99a419b14ac16bb0a6b90b8b8b9847c899577c

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source=pdf_text observed=2026-08-03T02:57:46.911470Z digest=sha256:1ed46dde06dff5aad6ddd240862645ad2aabbd83f5ff93c21e99dddd1ae9226e

Observation 22824bdc-c40f-4026-8e32-249a19dcde6d · outbound

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Observation b3df990c-10ad-466b-9cc4-4b58dd40ebae · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Third Painlev´e equation PIII,Funkcial

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source=pdf_text observed=2026-08-03T02:57:47.024960Z digest=sha256:b16e9154f0ba39bddfafe87d12ea0f51c8c55c60f6971c0722037efd146857b3

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source=pdf_text observed=2026-08-03T02:57:47.084971Z digest=sha256:c78b26e0f46d6d794f9171c6471562b8c582bcf64f07d5ac9a1467a44ffbbe50

Observation 4a4eaac1-d4b2-4473-9ac3-42c0c5aa0700 · outbound

This paper cites an unresolved cited work.

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source=pdf_text observed=2026-08-03T02:57:47.925067Z digest=sha256:72a09a333e43320c8fa591205f6d9cd016e9caa29040b4e6bc60c4ab9dd92202

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source=pdf_text observed=2026-08-03T02:57:47.938937Z digest=sha256:b13d5c1865a51fa7b9e5c420574a26e6d26bffc6060009993f4f807f0912bb7e

Observation 066ac455-5ab4-47c2-a5b4-3d06a5341312 · outbound

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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Grammaticos B., Self-duality and Schlesinger chains for the asymmetric d-PII andq-PIII equations,Commun

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:47.951897Z

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source=pdf_text observed=2026-08-03T02:57:47.951897Z digest=sha256:a19596f939474cc7f6ae64eb65e5a8360e6f8dcffb931d59598a0df2f7640f0d

Observation cd08a39b-064d-4bbe-8118-c01dd655a36c · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 73

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:47.964625Z

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source=pdf_text observed=2026-08-03T02:57:47.964625Z digest=sha256:fac55696ffbaa8bcbb7be0b46661d3d2235c6f7ee872fa4792f412634a982d81

Observation 5469f5ea-c023-494d-804c-468336a17798 · outbound

This paper cites and Ramani A., Bilinear discrete Painlev ´e-II and its particular solutions,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Ramani A., Bilinear discrete Painlev ´e-II and its particular solutions,J

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Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:47.975144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:47.975144Z digest=sha256:e4807c1fcf00595f081b4e5d5f55373e750e94c5dcc1210ed0bcdea0c5f37db7

Observation d021fc30-4941-4b51-b6bc-e2787f01e025 · outbound

This paper cites J.,5(1939) 401–417.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation J.,5(1939) 401–417

Reference 75

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:47.985015Z

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source=pdf_text observed=2026-08-03T02:57:47.985015Z digest=sha256:260bfb39738036bcf23e48bf700e8f598471dcd9bd038c7951ca228b347faa45

Observation 8826c90f-0406-4e3f-939e-c1e0b4287597 · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:47.994068Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:47.994068Z digest=sha256:3827ed9f6c092f3817e67310c86689319e702d6c0a29673fdd958ed58f492dfb

Observation d42e0f97-2893-4e5d-a7c3-55368b97bced · outbound

This paper cites and Wiegmann P., Normal random matrix ensemble as a growth problem,Nuclear Phys.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Wiegmann P., Normal random matrix ensemble as a growth problem,Nuclear Phys

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Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.006449Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.006449Z digest=sha256:2aad027400a278978f92175aa29db7cce4637c973dd4afd24c0662852936bfa4

Observation 81ecfc3f-430f-49ee-ae89-1805cbb3d9d7 · outbound

This paper cites and Ramani A., From the continuous PV to discrete Painlev´e equations,J.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Ramani A., From the continuous PV to discrete Painlev´e equations,J

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Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.015100Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.015100Z digest=sha256:d714ed6c1f92340c7f8e7a35e6b579320c6a0d5ce2b634bd964685cd023c4af4

Observation 7b8b520b-7c5b-48ee-a90d-e0f31ca7d707 · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 79

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.024820Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.024820Z digest=sha256:7c5525d1dbb925aa8c83e147e2a1b6d7f2a886fae0a4379fd61c5a0b816c8e65

Observation 5982a80e-735b-4009-8418-121072d1a08e · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.032759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.032759Z digest=sha256:cf2879b1954f00b080b6cb9efe6a67b5be74d10e4d1413f30d3e1f991293f110

Observation 29c8fc48-f168-43dd-9fa6-216d939df88e · outbound

This paper cites and Koepf K.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Koepf K

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.041968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.041968Z digest=sha256:f4ad9914d765c4b1e54f969d0b6f1626aec7d265df1486ffd0c6c3487e711b95

Observation f17c5e5b-be2b-4938-9737-db90c13c0f28 · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.050166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.050166Z digest=sha256:66324b5de8172f4175276e2160841863ef70ab26a704303a1955c2313a1e7fa3

Observation 2ea24621-2146-493c-ba95-8b9631ecddab · outbound

This paper cites and Zabrodin A., Conformal maps and integrable hierarchies,Commun.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Zabrodin A., Conformal maps and integrable hierarchies,Commun

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Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.057186Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.057186Z digest=sha256:3063e03577072632c78c49e0b4ffb3b03e6fea42a7f75290c2b18b88420c7a3f

Observation 640bfc9a-c3db-40f2-823c-f2ec73a2cbe5 · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.084190Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.084190Z digest=sha256:0d197ac0db5bca884c4d00b13f4dba1a96483ac1c688917d23d810cbc88e70b6

Observation ceeef234-b30a-4d4d-8e2a-aa8c1033df2d · outbound

This paper cites an unresolved cited work.

Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation Unresolved cited work

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-03T02:57:48.123216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.123216Z digest=sha256:c2689219e082160e300c753604a61ef1a2e734ec6bdd7603fed6b3b2abb7caa0

Pith citing papers

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