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Paper Citation Record · LEDGER

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem

As of 14 August 2026, this Paper Citation Record lists 59 of 59 outbound references and 0 inbound Pith citation observations for arXiv:2509.08588.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2509.08588 v1

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measured 59 of 59 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T20:37:05.011168Z

measured 59 of 59 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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59 of 59 outbound references displayed

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Outbound references

Observation c6579c06-57cd-477e-ad70-773a8c616c81 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 1

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Observation 0b3f4387-0a15-4f5b-ae47-f8a6fe1c4d24 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 2

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Observation 37549d7f-4c9a-4cf0-b7d6-90e6ce422666 · outbound

This paper cites Math.138(1999), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Math.138(1999), no

Reference 3

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Observation 60f35089-0b9c-469e-8946-ec80b4e91f8c · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 4

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Observation 13d5dd84-071e-449d-a814-8a51bf9a5cf2 · outbound

This paper cites 206, American Mathematical Society, Providence, RI, 2020.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem 206, American Mathematical Society, Providence, RI, 2020

Reference 5

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Observation 6534d859-1629-495e-bea4-9e4e5cac9f3d · outbound

This paper cites Math.299 (2016), 174–201.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Math.299 (2016), 174–201

Reference 6

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Observation 64ec7f29-ee56-46f7-9661-28e4b73c2eae · outbound

This paper cites B¨ or¨ oczky, Andrea Colesanti, and Deane Yang,TheLp-Minkowski problem for−n < p <1, Adv.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem B¨ or¨ oczky, Andrea Colesanti, and Deane Yang,TheLp-Minkowski problem for−n < p <1, Adv

Reference 7

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Observation e9d3abe3-caec-4311-862a-49001c7815f4 · outbound

This paper cites Bonnesen and W.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Bonnesen and W

Reference 8

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source=pdf_text observed=2026-08-04T20:37:02.177729Z digest=sha256:8ab8d210029a5ff64cae66b099a78f799677c6d21418573f6e6c5de762ffb5ae

Observation b593c833-79bf-480f-8d33-b339f90165b9 · outbound

This paper cites B¨ or¨ oczky,The logarithmic Minkowski conjecture and theLp-Minkowski problem, Harmonic analysis and convexity, Adv.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem B¨ or¨ oczky,The logarithmic Minkowski conjecture and theLp-Minkowski problem, Harmonic analysis and convexity, Adv

Reference 9

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source=pdf_text observed=2026-08-04T20:37:02.209352Z digest=sha256:5f6721bb159ccab545d4ae11b559a6a0d6a473429a2fa102d8a244e9c91d3b48

Observation 57684a01-aab6-4c63-8391-5587db6cb04a · outbound

This paper cites B¨ or¨ oczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang,The logarithmic Minkowski problem, J.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem B¨ or¨ oczky, Erwin Lutwak, Deane Yang, and Gaoyong Zhang,The logarithmic Minkowski problem, J

Reference 10

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Observation 90f24506-2e12-47d6-8ee4-355eeadb8b40 · outbound

This paper cites B¨ or¨ oczky and Christos Saroglou,Uniqueness when theLp curvature is close to be a constant forp∈[0,1), Calc.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem B¨ or¨ oczky and Christos Saroglou,Uniqueness when theLp curvature is close to be a constant forp∈[0,1), Calc

Reference 11

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Observation 963360de-ea0a-472d-bdd8-22a31b477d20 · outbound

This paper cites B¨ or¨ oczky and Hai T.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem B¨ or¨ oczky and Hai T

Reference 12

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Observation 1369d6bf-e226-4243-8d8f-0642dda32118 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 13

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Observation 240d3f77-575d-4edb-af36-80b0dd7fd162 · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 14

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Observation 398b1d75-7ab1-48f5-a4b7-ddac6fc240bc · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 15

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Observation 9d8122b3-e31e-448c-85b8-c20da7996e1a · outbound

This paper cites part A, Adv.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem part A, Adv

Reference 16

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Observation 3b62363a-0ee8-4101-88ff-262c024d705f · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 17

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Observation 7b8680f5-d489-41c0-ab15-668f959253ea · outbound

This paper cites Pure Appl.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Pure Appl

Reference 18

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Observation 614a0b55-f3b5-4da6-a78d-62e713ebcedc · outbound

This paper cites Math.205(2006), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Math.205(2006), no

Reference 19

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Observation f51b0072-893e-422b-95ac-7d6324b0f7e5 · outbound

This paper cites Differential Equations287(2021), 37–77.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Differential Equations287(2021), 37–77

Reference 20

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Observation c24e7b3f-0ac7-40fd-b417-995ed888b2a6 · outbound

This paper cites Uniqueness of Lp Minkowski problem in the supercritical range.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Uniqueness of Lp Minkowski problem in the supercritical range

Reference 21

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Observation 7e3d0a5e-0126-4c32-9546-c01833d7d3f1 · outbound

This paper cites Fenchel and B.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Fenchel and B

Reference 22

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Observation d997545c-d3ea-4b35-a520-43d5e913162b · outbound

This paper cites Firey,Shapes of worn stones, Mathematika21(1974), 1–11.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Firey,Shapes of worn stones, Mathematika21(1974), 1–11

Reference 23

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Observation 2dabe17d-4dd0-4f9d-a154-087f9e963d2e · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 24

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Observation fbbb65f2-c77c-40b5-a9fc-ed07fdb90906 · outbound

This paper cites The $L_p$-Minkowski problem with super-critical exponents.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem The $L_p$-Minkowski problem with super-critical exponents

Reference 25

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Observation fcf2e127-d4dd-427f-a13c-e58a2a0ffa18 · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 26

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Observation 7955d7eb-361e-47dc-bfac-21438b87bfeb · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 27

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Observation 10a692d1-1bdf-4544-b9cd-8247805704ab · outbound

This paper cites Ivaki,On the uniqueness of solutions to the isotropicL p dual Minkowski problem, Nonlinear Anal.241(2024), Paper No.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Ivaki,On the uniqueness of solutions to the isotropicL p dual Minkowski problem, Nonlinear Anal.241(2024), Paper No

Reference 28

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Observation 7c1e96f6-8d36-4026-acb4-fb74d8a69f1a · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 29

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Observation 2b7dfd1f-b697-4720-b167-3cf66fe822f8 · outbound

This paper cites Geom.33(2005), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Geom.33(2005), no

Reference 30

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Observation 3f4be856-9aaf-4afa-a17d-390e2cb0b7fe · outbound

This paper cites Ivaki,On the stability of theL p-curvature, J.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Ivaki,On the stability of theL p-curvature, J

Reference 31

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Observation a9f7c465-56f0-44a5-bc9f-8ae6133a51bf · outbound

This paper cites Ivaki and Emanuel Milman,Uniqueness of solutions to a class of isotropic curvature problems.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Ivaki and Emanuel Milman,Uniqueness of solutions to a class of isotropic curvature problems

Reference 32

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Observation 689afe95-ac67-48eb-a931-ee41c6e56190 · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 33

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Observation cef22c64-4c79-4d1e-9411-4fd2c812aabd · outbound

This paper cites Math.281(2015), 845–856.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Math.281(2015), 845–856

Reference 34

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Observation 71c0a479-4c73-418a-b54c-4bc403210093 · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 35

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Observation 9e32f7a5-a415-4e7a-91f5-09aafa2f74b5 · outbound

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Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 36

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Observation 0ed3f2e4-aa75-46dc-996b-bc8161cb7f82 · outbound

This paper cites Kolesnikov and Emanuel Milman,LocalL p-Brunn-Minkowski inequalities forp <1, Mem.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Kolesnikov and Emanuel Milman,LocalL p-Brunn-Minkowski inequalities forp <1, Mem

Reference 37

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source=pdf_text observed=2026-08-04T20:37:03.685568Z digest=sha256:e08c7ded0a3ac44bda1cf18be557df098562c78e6dce742dc34dca81f34b50be

Observation 3afda310-0d52-4dae-a769-be9ada9336a3 · outbound

This paper cites Higher order Poincare inequalities and Minkowski-type inequalities.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Higher order Poincare inequalities and Minkowski-type inequalities

Reference 38

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source=pdf_text observed=2026-08-04T20:37:03.745076Z digest=sha256:a678013ddf56000549deea2a067682e1798b1bab76aa5d94a0dcea3fa1f1f9f9

Observation c2eb8798-f081-42c1-8dc8-abfae2e377f3 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 39

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source=pdf_text observed=2026-08-04T20:37:03.872512Z digest=sha256:64987e49c142f44b4691a36f8efabcbc03ce3542348c29b28eacc60105fc6851

Observation 17b20180-5be4-4625-85cb-bf84adc91f98 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 40

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source=pdf_text observed=2026-08-04T20:37:03.985889Z digest=sha256:e423fcb67ff98cb3a8767f9fc75ef1d5720d71d3f5b1f4635113b3b703e9e5e8

Observation 4ee45436-7cf7-48b7-bb18-e04973a543d7 · outbound

This paper cites Classification of solutions for the planar isotropic $L_p$ dual Minkowski problem.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Classification of solutions for the planar isotropic $L_p$ dual Minkowski problem

Reference 41

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source=pdf_text observed=2026-08-04T20:37:04.052421Z digest=sha256:fbb9b56408684d2089176c4c7950aad10685dd71e2a35e6e2cec1ca2b82c07ef

Observation 695615da-7df3-48ce-b71a-e45080781fa8 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-04T20:37:04.096443Z digest=sha256:97b2532de65417a743f850cfc97e357e0a4f7a05c3847f2fa0ebb0c6cfbf2e77

Observation 486504a2-b7bd-4151-875c-f9b9f28542a5 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 43

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source=pdf_text observed=2026-08-04T20:37:04.154755Z digest=sha256:2488f46ef7fff742d4ddf2e0fdcb38666cc48b377a0e28b0c79b3e1e6c6293d1

Observation 1221de0e-3e16-40b8-a981-3978f385d5e9 · outbound

This paper cites Differential Equations254(2013), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Differential Equations254(2013), no

Reference 44

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source=pdf_text observed=2026-08-04T20:37:04.183895Z digest=sha256:dbefd707d4a5467f18131d7deb9af1e76d5dc2edc27d6ee7aafc0205fe39b85e

Observation eca02926-e837-4628-89dd-6b5e7c242bfb · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 45

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source=pdf_text observed=2026-08-04T20:37:04.230301Z digest=sha256:989bed821fddfb6cc0ec367a28fe47f848b18d6df6a52474740655a3e8eaa2e7

Observation 36bc74bc-7d88-4d37-b4f5-90a4507b84bd · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 46

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source=pdf_text observed=2026-08-04T20:37:04.263668Z digest=sha256:d6fc471348d61181a04c6fd20dc9cd9b9ef67d610ff5a97ccf364b5afafceb16

Observation 27a40034-0bc9-4432-8004-e5289e8a17b1 · outbound

This paper cites J.104(2000), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem J.104(2000), no

Reference 47

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source=pdf_text observed=2026-08-04T20:37:04.331527Z digest=sha256:a70897b68f325445cc0f3b3671c828d4299aeaa7c13a1283133ccd40a3491cb5

Observation aabca94f-2059-41ed-b007-eb4ddf5fe8a1 · outbound

This paper cites London Math.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem London Math

Reference 48

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source=pdf_text observed=2026-08-04T20:37:04.374760Z digest=sha256:19a8b64940d272e4b753e8d0553840c244d26341e8c6ce6e7dd29e718014574d

Observation 7bd1627d-6103-4bbb-ae61-a72003d52daa · outbound

This paper cites Differential Geom.127(2024), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Differential Geom.127(2024), no

Reference 49

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source=pdf_text observed=2026-08-04T20:37:04.415501Z digest=sha256:862ac74ec691d7711e994f0a9c530e8d1035359cad5dff39386194ccc5205167

Observation fd4c3a1d-547d-4a75-989c-b69f90a3e1ee · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 50

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source=pdf_text observed=2026-08-04T20:37:04.464083Z digest=sha256:0d6ac767eee21978f4ea1889118a8a6051feb3cddb34876b5db3c466e514b285

Observation 38ca136b-b373-4954-8613-3c52af841f5a · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 51

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source=pdf_text observed=2026-08-04T20:37:04.484831Z digest=sha256:52ea1112608fb50fbd853be6ffe43a7920ece7f31fcb105cb28fef6873fb1963

Observation c39ed470-b749-45d0-ae20-631c4ce0caf8 · outbound

This paper cites Ann.57(1903), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Ann.57(1903), no

Reference 52

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source=pdf_text observed=2026-08-04T20:37:04.534753Z digest=sha256:8f17a43af7ae977fa81190b3ba6845c6083adeb15071ac44f5b6d1d8f5315f27

Observation 92a41609-401e-4d5c-a856-e66913af67c3 · outbound

This paper cites Pure Appl.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Pure Appl

Reference 53

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source=pdf_text observed=2026-08-04T20:37:04.600707Z digest=sha256:f47724409e1f3da0c822ddd0032e71f86cafce08a0d46a35137bfd79a1ec6079

Observation 25b731b1-e06b-40dd-9253-678586433486 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 54

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source=pdf_text observed=2026-08-04T20:37:04.676748Z digest=sha256:cddf9c69e9427bdd201da66d846e02fcdafa3ee83a718cddc19cfd7e769cbcf0

Observation 4879d0a7-e71d-44bc-89c3-5fc9dff1265a · outbound

This paper cites Ann.382(2022), no.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Ann.382(2022), no

Reference 55

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source=pdf_text observed=2026-08-04T20:37:04.755040Z digest=sha256:26acdee3d4e1161b2807ac0960093245f0db3328c1db21feb9f019cb3ee75dcf

Observation 0582c0c2-334a-4440-b711-0a4209c424e6 · outbound

This paper cites 151, Cambridge University Press, Cambridge, 2014.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem 151, Cambridge University Press, Cambridge, 2014

Reference 56

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source=pdf_text observed=2026-08-04T20:37:04.846982Z digest=sha256:bb2b6939cec91e3de71a9da1f0cea82bec7ab1f249cbf7fdb2bdde3bd7839ea7

Observation 7c815002-4e3b-411a-a327-5ec95c60e6a7 · outbound

This paper cites an unresolved cited work.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Unresolved cited work

Reference 57

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source=pdf_text observed=2026-08-04T20:37:04.909382Z digest=sha256:d4fb6d9dba51863ab01652c8a9d531c6a132018849230092b3a22d70d3b18f44

Observation 28c1aa56-5601-431d-ae9a-808b7e72e17c · outbound

This paper cites 2327, Springer, Cham, [2023]©2023, pp.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem 2327, Springer, Cham, [2023]©2023, pp

Reference 58

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source=pdf_text observed=2026-08-04T20:37:04.970036Z digest=sha256:4be645afd6acb0101bdf9ae7a5961a7bb0efd678018d68baa823e47a6e2b45db

Observation e64364a0-2525-44e5-951e-d0d9d9517041 · outbound

This paper cites Math.262(2014), 909–931.

Uniqueness of $S_2$-isotropic solutions to the isotropic $L_p$ Minkowski problem Math.262(2014), 909–931

Reference 59

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source=pdf_text observed=2026-08-04T20:37:05.011168Z digest=sha256:3af6447590fd321026f58a3f42e9396e7caa7131af14a9d02d102f4cafdec56c

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