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Paper Citation Record · LEDGER

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

As of 14 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

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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Discrete equations from B\"{a}cklund transformations of the fifth Painlev\'{e} equation and Kitaev A.V., Discrete Painlev´e equations and their appearance in quantum-gravity, Commun

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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=2026-08-03T02:57:46.147090Z digest=sha256:755b849a59f499127bde5c45d995dd5f264e1803308d987bbc945e37d34e0082

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

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source=pdf_text observed=2026-08-03T02:57:46.157226Z digest=sha256:2771b4f1f7525afeb106453ca9354cde18a6488a765026b7c3bd03c4dcd9a41d

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source=pdf_text observed=2026-08-03T02:57:46.169998Z digest=sha256:6f2a657e214db6d84928504d017c4d46494b4626ea92727918ed3f22e0b4d55c

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source=pdf_text observed=2026-08-03T02:57:46.194159Z digest=sha256:57e9d0e51a3f7fed6848ed25328a8fbea218d30911e1121b4c6677463f2cf62c

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source=pdf_text observed=2026-08-03T02:57:46.235583Z digest=sha256:1588bf4908fdcfa16acb448202d1c04e3a474f432f5b18e2bebadc1c1c6334ef

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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=sha256:316d8662c54b0fed104142b04bb81791bc07ddad62f97406a12040a073332142

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

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source=pdf_text observed=2026-08-03T02:57:46.348497Z digest=sha256:18fc81fe55b857d0506cf22c2812b1dbcc60959a912bdff10e21996f59a08782

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source=pdf_text observed=2026-08-03T02:57:46.381916Z digest=sha256:ba1e60acd34abbdfcdb2f064c91aabc0ce1844f02460a20f15f31f9620d595fa

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

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

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

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source=pdf_text observed=2026-08-03T02:57:46.505212Z digest=sha256:f15a95584da230859205f1451e6b1f5c22e1367d96e93adb6c446de8269c32f6

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source=pdf_text observed=2026-08-03T02:57:46.539488Z digest=sha256:5235bdf3c4e8d5ced312a46dec7baa04137b59ba51515ff304948bc3bf96a493

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source=pdf_text observed=2026-08-03T02:57:46.573516Z digest=sha256:5daef0771f8007f1da527f6316d35977f69b1e44f30e3e0057621b3bd5b778f8

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

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source=pdf_text observed=2026-08-03T02:57:46.704341Z digest=sha256:106824bfdc340b492415fe3e4a7206f2e3d156b8bb5ea934fd87338c3943fcf0

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source=pdf_text observed=2026-08-03T02:57:46.735015Z digest=sha256:3efb924cd18887c5b8d91806bd8280f602625b7d9e49dfdbbf61a199b1869f5e

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

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source=pdf_text observed=2026-08-03T02:57:46.840137Z digest=sha256:c23b2f4efb3f20ac4c304e01609090a4947642c2aeb457f4d3b2ce5418fd2ffd

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

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

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source=pdf_text observed=2026-08-03T02:57:47.938937Z digest=sha256:75d028dc6739129beb1efd8d8550c7d7408d22551a4047054b9b7e1e05afc6ba

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source=pdf_text observed=2026-08-03T02:57:47.951897Z digest=sha256:3db26d1ab0f7d45ad71a0d61d4d2852404320e0314cd40e1c72362cf92e92d5b

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

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source=pdf_text observed=2026-08-03T02:57:47.964625Z digest=sha256:5b1c0c1ac96de368c5c5b04db9349383e02bd75bfb7658e77968f1efaead3e44

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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source=pdf_text observed=2026-08-03T02:57:47.975144Z digest=sha256:fb4c6aed10a3175aba2df29af55a8d2b37e6208d678890e9d0acdb2a1d645b5a

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

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source=pdf_text observed=2026-08-03T02:57:47.985015Z digest=sha256:23bb581a4d4f7ff049976d495168693dce33d51d2652518a460f0982aaf346bc

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

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source=pdf_text observed=2026-08-03T02:57:47.994068Z digest=sha256:33bfdc544c4c668414ca3883f6c6ba33b31598073d5c0f472f6bf037dfc82dbc

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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source=pdf_text observed=2026-08-03T02:57:48.006449Z digest=sha256:d9db9b0b2d9c058125812491ec0bef0b32ef2a4e833d731e3cbfddce9288b54d

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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source=pdf_text observed=2026-08-03T02:57:48.015100Z digest=sha256:40a387ea0b516e96d5ca33e24f36c133f54c537a559df95e3aae40c109c890e8

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

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source=pdf_text observed=2026-08-03T02:57:48.024820Z digest=sha256:473c01194286062b096a7e5fb0e70a045b7936256c7493b3c7c82167f3c7f0dd

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

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source=pdf_text observed=2026-08-03T02:57:48.032759Z digest=sha256:f8d5cfa91ea21686b3e16a5d6fdf7d883afe9a84666e17be97de2faabd2c8557

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

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source=pdf_text observed=2026-08-03T02:57:48.041968Z digest=sha256:2b1464029e6b2169a372a0fd0377bac0da8a2d504ae9683719d0563772607d8b

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

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

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source=pdf_text observed=2026-08-03T02:57:48.050166Z digest=sha256:9dc1d0e8804280f72d7d4d3a614c9b235d7f224e02729acff06ea615d4d4cd40

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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source=pdf_text observed=2026-08-03T02:57:48.057186Z digest=sha256:a83a4efc406b36f90b1fb8e0fa211538aa07ba0ac37c770c52610422efb0da84

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

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

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source=pdf_text observed=2026-08-03T02:57:48.084190Z digest=sha256:06e8242f9b61c58e6f7649dfb14dac326bcbc57dd3d8d3947017d44d247d4bc1

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

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source=pdf_text observed=2026-08-03T02:57:48.123216Z digest=sha256:8301bfe74b86eb0a34276e0f4f3a4370ade9404b5bba23ec4375fa389456cfe7

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