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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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:cda16dd808f50f2fa4f66fe4cc4f8fc57880069e4e7219e525eebc65c56633c7

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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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

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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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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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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=sha256:30e74eaa1b8daf9dedc42038c9486de7faa57ff44102beed1266267a1cbe052f

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=sha256:151957861e8e709f1dd070da52d620eda9675e975c7dd4fd76cc84fdfefdff5a

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=sha256:77d42b56976a6c179685f964040656047400fa4e5b8c821a886f46ff02a6f24c

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=sha256:9327fe82fc55a80c71fcad9c39ec7f7bcae66a73a25876ed3834ca39b3d140e8

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:d0d388b9a03f0225eedcfb2167a96c7839a3a56115d69363279bcb617bac26d7

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:e226526fcf77499d4adc64c5d240c43c1b297f1a07e11325eeb07feb1e692bb6

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=sha256:9bfa1d33b091db5f7c3359b5d54d0d8b5eb4d62c00468443f975c3a243992835

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=sha256:749c2b0eda6546f7154aad7288f02efc5126e4216e45f8833e86aaaa3302728c

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=sha256:4c295635a61521baab2458b4eec341522aa82c738a898453c3e6c8ca2af7becc

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:dde13cfbb04222480489e0362a28495153a32a14b39d8c08ae86f4d8a6c06875

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=sha256:4535a99b662c2cabff85312eaacadf09ded0b51e111ab2fa04477ff5a3cb5799

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:a602a9bfded4aa118565b932aa244b3e9960b29fb8b0219e13a4d073a2ccf427

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=sha256:6fda98cd55827f9511de7762516fa4584a68dc57eaacc20a3d8dda2b3a08233d

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:c283924310fdacd5d28cb7ca61b2b550cec7a6d35d5391492beb1c322242b917

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:af677c1ee5668b5a553dcecb8d00a3d769d11fe2310560bd4b20374cb060ac76

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:aaeb3cbc6ce29279f845d400b246700f3751356d3e0d83fca70aff2fd2e57073

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=sha256:13ee096daa07ea067f9bc5e7fea0c9ee396049d9786b0d58dc2d6205a8228679

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=sha256:8831a717f355fb55f92cb84000855d897e321800daf47770b16a9827a415ee64

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:cbb14ec071388c140b8340a6fc525692db5c6410349c90dc905309a98c7a61cc

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:f8350a40f52bdd50bda99830812a78d430c00cae3323bc11564984f980067f35

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=sha256:0fef0003b0db5c2959591d462a16eac4f5d2f241e27681f69c29865412f427ea

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