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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

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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

This paper cites and Mitchell B., Special solutions of a discrete Painlev ´e equation for quantum minimal surfaces,Theo.

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

This paper cites and Webster H.N., On the relation between the continuous and discrete Painlev´e equations,Theo.

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

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

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Observation a61d22e3-fb2c-446b-b11d-4a1b0c350778 · 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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Observation 1754152d-3b83-44f6-8a3f-28572168ff45 · 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 e13fd7d1-0af8-49b0-b672-3bc5f6a23603 · outbound

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source=pdf_text observed=2026-08-03T02:57:46.134403Z digest=sha256:aac1c919229587fb28b6f9856300ed160261089b3f01b2f3dc51c3db19288bf5

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source=pdf_text observed=2026-08-03T02:57:46.157226Z digest=sha256:784397b4e7d93f418185ad68ecae15a20b25f6a9b26df342cb2208c334e52deb

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source=pdf_text observed=2026-08-03T02:57:46.169998Z digest=sha256:0a380a4cb3950b51bf7a2d13a3b6e96cf8c087ef634a475a1daff2b177bb96a7

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source=pdf_text observed=2026-08-03T02:57:46.194159Z digest=sha256:d3bba94e0871b81b7565e6b5fdba00b577bfe00b014d3fa13c0a41032022e861

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source=pdf_text observed=2026-08-03T02:57:46.235583Z digest=sha256:80c4e5c58fc5a119c75983c7d2f109f09098a57106f88185b5b8f6707a62d6b8

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

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source=pdf_text observed=2026-08-03T02:57:46.308369Z digest=sha256:98a8b93d37b39f2941b7d51bdc3f4b6d554630c01521b4128ea348cb827fdf67

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

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source=pdf_text observed=2026-08-03T02:57:46.348497Z digest=sha256:6207dfb499fa2936129eb3a423b91ebc194c89187927f7affd4841cd55bf8509

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source=pdf_text observed=2026-08-03T02:57:46.381916Z digest=sha256:2dfeacb84306df003c41d24e29862d2adfd4e40cb3ffddb14f339340353252be

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

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

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source=pdf_text observed=2026-08-03T02:57:46.472994Z digest=sha256:bc86f3519e0f070690e3a96279c491bafa9a540d187f462252dabe8d6675345b

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

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source=pdf_text observed=2026-08-03T02:57:46.505212Z digest=sha256:229f224f473df0aeaa5167a5720885bd25fa4f0ba659e0efe7c830885bb26ded

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source=pdf_text observed=2026-08-03T02:57:46.539488Z digest=sha256:ec0e3ec6ab009616b5ba858d892e1f6fd0745b804413faab8d6466dbf3bc11de

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source=pdf_text observed=2026-08-03T02:57:46.573516Z digest=sha256:bfcaebd340a4522999f2d75d642b99f1185a77b4645b5547d8931973e12a02a9

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source=pdf_text observed=2026-08-03T02:57:46.617979Z digest=sha256:8e2f2147ab98a577b78faf4e6dd3e3ea87a93bb3cfd103408835cba9a1f693da

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

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source=pdf_text observed=2026-08-03T02:57:46.648513Z digest=sha256:b82ca3062154c89b2e02c49ea70587b16a0f26c83fa0fe38b87b9d1642d00006

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source=pdf_text observed=2026-08-03T02:57:46.735015Z digest=sha256:58963889141c2a2f6a68c41a3d78c659fe80c06c759262b22654809dd4cf3d29

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source=pdf_text observed=2026-08-03T02:57:46.840137Z digest=sha256:a773cbe395a6f15159cc252b24f3ea896851f9945192f902b5abd1098ba1b66d

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

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

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

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source=pdf_text observed=2026-08-03T02:57:47.925067Z digest=sha256:b56fd677366938a489f8d607e8efd3b35a355eb7ec9a60ef4a81f2919e5e6e7f

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source=pdf_text observed=2026-08-03T02:57:47.938937Z digest=sha256:ca7053f51f1ffcae4e6b15679ab589ca4725ebc3865825d4fda36406e2370e41

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:47.951897Z digest=sha256:7448d4ddb43a321958a17d6cd90a032b6939b1db60e56eb1cfe307f96599e946

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:47.964625Z digest=sha256:3c77cffb129db0ef531d56f02ee61070fedcb1c7514a7a5889388999bff873bc

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=sha256:57d5876b46474739953282555d1eae9b84660108ae62fde51495293b847d3c57

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:47.985015Z digest=sha256:34cf30057ad9e87e5212dfe32cb0390ac22eacd35a3194ad4366e55c06a5c939

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:f90ccaa541de7aa28ff7518ea6a403c081c00e06f89af5e5e76fb7b6bc06a957

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

Reference 77

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=sha256:7dc3c8746e615008ffcb6afacb0e8893028f4dd6f339168ebfa89bf4154c4d9d

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.015100Z digest=sha256:1843e9526c92f214d6644dd437685705ad35420fce0607df35cabc2066f4b889

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.024820Z digest=sha256:cc42c04e168a3ca582be273ca40db753e120b3b228fc67ad96bbfd5df6380886

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:cff1747837ecd3ea22d999e42787d56fe35efe9a9037cbb7421e3b954ac3ed10

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=sha256:354a63fb556e777aeacb0292d0608c18f180a3c2f682c141fe6c3d14e0747b36

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=sha256:41d9be495a79a6a2d4e70f081a6a4acbb6456c35a7443cd476fa90b02675a2c9

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

Reference 83

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:57:48.057186Z digest=sha256:0ea57b3d28839337bd1995fbc98f84adb190f4b23d78ac738c2cb76049ce30ab

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:be94e64b6e58338284e03b574bd285feb2a6c90530dc75384f3b0a2ec0b419d1

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=sha256:8e34fe954bc2326075516e60ba16a22c6a045538469f646c9c5a1fc0b5d93e1a

Pith citing papers

No inbound Pith citation observations are available.