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Paper Citation Record · LEDGER

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem

As of 18 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 1 inbound Pith citation observation for arXiv:2608.01912.

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

pith.paper-citation-record.v1
2608.01912 v1

Coverage vector

measured 38 of 38 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:27:15.569486Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:58:44.073829Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-15T14:58:44.272128Z

Reference resolution

38 of 38 outbound references displayed

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  • verified fuzzy25
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc171b97-b8cf-451a-9911-6c180451aaec · outbound

This paper cites Aleksandrov, Existence and uniqueness of a convex surface with a given integral curvature, C.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Aleksandrov, Existence and uniqueness of a convex surface with a given integral curvature, C

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 006839e5-77c3-4f73-ad61-34e72524a042 · outbound

This paper cites B¨ or¨ oczky, F.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, F

Reference 2

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 32f18b64-c879-469c-b135-1afef350d635 · outbound

This paper cites B¨ or¨ oczky, M.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, M

Reference 3

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 284b416b-dd2f-4981-818c-063660baa9d1 · outbound

This paper cites B¨ or¨ oczky, P.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, P

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 06064fc1-c485-4725-8b9a-d09c2177d75d · outbound

This paper cites B¨ or¨ oczky, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, E

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9f6573e3-f799-4426-8c2e-ebbc9ed46e11 · outbound

This paper cites B¨ or¨ oczky, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, E

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 0725c1b9-83f9-462b-9e31-5dbee8641ce3 · outbound

This paper cites B¨ or¨ oczky, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem B¨ or¨ oczky, E

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8585d6c9-ff18-450b-82fa-541f98e6dc7d · outbound

This paper cites Uniqueness in the near isotropic Lp dual Minkowski problem.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Uniqueness in the near isotropic Lp dual Minkowski problem

Reference 8

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 941d44e1-525c-450f-b434-c37f555498db · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 9

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 44c69885-7415-455f-a212-f39c1ff5b4a9 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 10

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Observation 649fb3d2-98c7-4a11-b4f0-3a2d9bd52f68 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 11

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bfd63bb3-36f5-4adf-bc4b-25a11494c2d4 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 12

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 6ee57e8a-5450-4d1f-b791-768006d3ee50 · outbound

This paper cites Colesanti, G.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Colesanti, G

Reference 13

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1ef83299-1e9a-4c02-a485-dd952e1c788d · outbound

This paper cites Gardner, Geometric tomography, 2nd ed., Cambridge University Press, Cambridge, 2006.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Gardner, Geometric tomography, 2nd ed., Cambridge University Press, Cambridge, 2006

Reference 14

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 14353357-cee1-4812-9ac2-382efc4109d7 · outbound

This paper cites Gardner, The Brunn–Minkowski inequality, Bull.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Gardner, The Brunn–Minkowski inequality, Bull

Reference 15

Resolution
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation d75dc58a-fcfe-421d-ad85-f322f50ad00a · outbound

This paper cites Gilbarg, N.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Gilbarg, N

Reference 16

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3634b857-6d43-436f-bc94-7146963211b7 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 17

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation df45e46c-d56d-4555-9215-a8bddd7aae98 · outbound

This paper cites Hu, The dual Minkowski problem for positive indices, Int.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Hu, The dual Minkowski problem for positive indices, Int

Reference 18

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ef9438c3-817a-40d3-a65c-8661e04d995c · outbound

This paper cites Weighted centro-affine Poincar\'e inequalities.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Weighted centro-affine Poincar\'e inequalities

Reference 19

Resolution
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no resolver link, observed 2026-08-15T15:27:15.499856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:27:15.499856Z digest=sha256:885b95828423cac7acc335cbad57e3c176e15e61b2306661fa251c870b75d617

Observation ea8faf66-8796-44c5-8817-1f9e457bac0f · outbound

This paper cites Huang, Y.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Huang, Y

Reference 20

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7cbb210c-c7f1-4ea4-8b76-62258339a161 · outbound

This paper cites Huang, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Huang, E

Reference 21

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f5ad27f2-c229-4ce4-8a4a-ca3de55bb08a · outbound

This paper cites Ivaki, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Ivaki, E

Reference 22

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 93a77b6a-f195-4c8d-aa9a-1b36b9fa68e4 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 23

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 50c71f78-3d4b-4835-bc2b-658f33c39a71 · outbound

This paper cites Kolesnikov, E.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Kolesnikov, E

Reference 24

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verified fuzzy
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 86dc8422-c8d6-4225-8ade-8c10b5e14308 · outbound

This paper cites an unresolved cited work.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Unresolved cited work

Reference 25

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 9668c4a7-1713-4935-bbef-14ea058b2a09 · outbound

This paper cites Li, Nonuniqueness of solutions to theL p chord Minkowski problem, Calc.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Li, Nonuniqueness of solutions to theL p chord Minkowski problem, Calc

Reference 26

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c8b2d1d1-ce3f-4dbd-b0bd-218876009836 · outbound

This paper cites Lutwak, Dual mixed volumes, Pacific J.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Lutwak, Dual mixed volumes, Pacific J

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:27:15.833663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3e56fa1b-e850-4df5-8ba0-7ab9aeda2307 · outbound

This paper cites Milman, Centro-affine differential geometry and the log-Minkowski problem, J.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Milman, Centro-affine differential geometry and the log-Minkowski problem, J

Reference 28

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 25048b55-25e9-4b23-983d-8c4071f58b2c · outbound

This paper cites A letter: The log-Brunn-Minkowski inequality for complex bodies.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem A letter: The log-Brunn-Minkowski inequality for complex bodies

Reference 29

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local_arxiv, observed 2026-08-15T15:27:15.698546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 79275ff3-a98a-4211-9c32-5cd672df2525 · outbound

This paper cites Saroglou, Remarks on the conjectured log-Brunn–Minkowski inequality, Geom.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Saroglou, Remarks on the conjectured log-Brunn–Minkowski inequality, Geom

Reference 30

Resolution
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no resolver link, observed 2026-08-15T15:27:15.540372Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T15:27:15.540372Z digest=sha256:3c0ddeb2c727e7b373517a12a49b33bf9b6f408b21d0ebbb393231d9eb564b9c

Observation d9b31915-98aa-40c8-a142-d8d72ae1a85d · outbound

This paper cites Schneider, Convex bodies: the Brunn–Minkowski theory, Cambridge University Press, 2014.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Schneider, Convex bodies: the Brunn–Minkowski theory, Cambridge University Press, 2014

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:27:15.800288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.543922Z digest=sha256:f8b6ff511f4e521d8fe7159cb1a5ec4bf3e3eb436c3b04a0022e2d7a50ae776e

Observation 63ce7bcf-85eb-4886-a9e8-e758b3127e84 · outbound

This paper cites Stancu, The discrete planarL 0-Minkowski problem, Adv.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Stancu, The discrete planarL 0-Minkowski problem, Adv

Reference 32

Resolution
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raw_fallback, observed 2026-08-15T15:27:15.786664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.547616Z digest=sha256:78d195be68d3025d7b5c666b8aaf55190c9ce1c10fa3bd11b05c97a28ad1e31e

Observation 778497db-2f51-4ecb-b706-1a0a77f15b4f · outbound

This paper cites Stancu, On the number of solutions to the discrete two-dimensionalL 0-Minkowski problem, Adv.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Stancu, On the number of solutions to the discrete two-dimensionalL 0-Minkowski problem, Adv

Reference 33

Resolution
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raw_fallback, observed 2026-08-15T15:27:15.773961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.551131Z digest=sha256:e7daea5143471cca7a8a1eac712bee419767d6bb19886076e6f28e41df2d8652

Observation 771a444e-854e-49cb-af81-3beb58f78d5d · outbound

This paper cites van Handel, The local logarithmic Brunn–Minkowski inequality for zonoids, Geometric aspects of func- tional analysis, Lecture Notes in Mathematics, 2327, Springer, Cham, 2023, pp.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem van Handel, The local logarithmic Brunn–Minkowski inequality for zonoids, Geometric aspects of func- tional analysis, Lecture Notes in Mathematics, 2327, Springer, Cham, 2023, pp

Reference 34

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raw_fallback, observed 2026-08-15T15:27:15.761760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.554586Z digest=sha256:fb4ea26c23373c4fb19bfea55955f30b62c590b7d63c38a6905364f43d688fac

Observation 57b82be2-35d6-4f81-b922-3020ee73907b · outbound

This paper cites Wang, Monotonicity of the deficit in the local log-Brunn–Minkowski inequality, arXiv:2510.19061, 2025.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Wang, Monotonicity of the deficit in the local log-Brunn–Minkowski inequality, arXiv:2510.19061, 2025

Reference 35

Resolution
verified exact
raw_fallback, observed 2026-08-15T15:27:15.680919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.558173Z digest=sha256:c6817692e25d8a9e40b3eb71b47b05c9255a8358df23ce6f4e287ea0b5409e8c

Observation 7d3f5d95-4830-4289-8b84-0e9e5cb448a6 · outbound

This paper cites The Reverse-log-Brunn-Minkowski inequality.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem The Reverse-log-Brunn-Minkowski inequality

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-15T15:27:15.608646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.561996Z digest=sha256:73801986198e18574bd4ce26679b01fb14b833588a70fadd5ffba6f77c186641

Observation ffe805c0-fd65-46f9-8fd7-403b334dee73 · outbound

This paper cites Zhao, Existence of solutions to the even dual Minkowski problem, J.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Zhao, Existence of solutions to the even dual Minkowski problem, J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:27:15.749505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.565853Z digest=sha256:1c6af647e881eecda6e5f19077d11200ed13b365f5322f363b9802ca5d8b7625

Observation 1b2a0231-21ea-4704-abdb-6cd3899c0986 · outbound

This paper cites Zhao, The dual Minkowski problem for negative indices, Calc.

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem Zhao, The dual Minkowski problem for negative indices, Calc

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T15:27:15.737225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T15:27:15.569486Z digest=sha256:d48140ab1e08e60073f5f8f9e4ce9f27a4cc05595d2c63d0255f895209f5a322

Pith citing papers

Observation da355449-6878-49be-a0ac-dc892264169b · inbound

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ cites this paper.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:58:44.337494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:58:44.073829Z digest=sha256:655da857d41c008027091ed7fa3a09504e65aa3e2527c3366de18eeb78b9a7ab