Paper Citation Record · LEDGER

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2505.23748.

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

pith.paper-citation-record.v1
2505.23748 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:49:36.712567Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact0
verified fuzzy16
unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0b8eb4e0-522d-4746-b4f7-6fe269830ca3 · outbound

This paper cites Milman,Asymptotic Geometric Analysis, Part I, 06 2015.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Milman,Asymptotic Geometric Analysis, Part I, 06 2015

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:41.558606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6bf88a29-980f-432a-bb96-87d3096b9fdd · outbound

This paper cites Ball,Some remarks on the geometry of convex sets, In Geometric Aspects of Functional Analysis, edited by V.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Ball,Some remarks on the geometry of convex sets, In Geometric Aspects of Functional Analysis, edited by V

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:41.367743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d8151697-572f-4ba3-8b81-616fe96f2a55 · outbound

This paper cites 2, 351–359.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals 2, 351–359

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:41.144806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 520601dc-d7f2-470d-89a6-898e87aa98a0 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:40.925815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0f2a09f4-dfe1-4940-8b63-9ddfff95a3ac · outbound

This paper cites Milman and G.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Milman and G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:40.714524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b9e0918b-4e2b-4da6-abf8-07edd6cafd82 · outbound

This paper cites Functional Analysis273(2017), no.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Functional Analysis273(2017), no

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:40.543516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 46286e94-08d0-4897-9ea3-a585ae1cb71a · outbound

This paper cites 3, 987–1003.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals 3, 987–1003

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:40.352947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cf88644b-d3f9-4819-86f5-e0d37aba0d7b · outbound

This paper cites Gardner,The dual Brunn–Minkowski theory for bounded Borel sets: dual affine quermassin- tegrals and inequalities, Advances in Mathematics216(2007), no.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Gardner,The dual Brunn–Minkowski theory for bounded Borel sets: dual affine quermassin- tegrals and inequalities, Advances in Mathematics216(2007), no

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:40.178633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2f470016-ccbf-4653-b7a3-9e728e4ba133 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:39.998042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 23ed8abc-a36a-4757-b908-7c8c8f5556ef · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:39.833139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4f1b7374-7d53-4992-a93e-4835a14f22f4 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:39.661420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4c5e33dc-8b89-4a4b-b0bc-63a427b596b9 · outbound

This paper cites Kolesnikov and Galyna V.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Kolesnikov and Galyna V

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:39.419808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0f390271-c25f-4b34-9df0-06408e8dcb48 · outbound

This paper cites Kolesnikov and Emanuel Milman,Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary, J.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Kolesnikov and Emanuel Milman,Brascamp-Lieb-type inequalities on weighted Riemannian manifolds with boundary, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:39.203317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 88121d4c-a5cf-4189-86df-0455f0789e37 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:39.022342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4e420d03-7f51-4e90-a782-d31cf1567e52 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:38.885456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4cbfd723-3aeb-49ab-915d-03f3f1a874a7 · outbound

This paper cites Z.270(2012), 1089–1110.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Z.270(2012), 1089–1110

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:38.708318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 733df8bd-7ec3-4f70-84e9-73c79d779c95 · outbound

This paper cites 2, 531–538.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals 2, 531–538

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:38.535373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 543c1a6f-f184-4432-a946-4e7bab053f33 · outbound

This paper cites Differential Geom.68(2004), 159–184.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Differential Geom.68(2004), 159–184

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:38.421465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a172ce4d-9ed1-4b70-b14b-c1569e4b92d3 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:38.262000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 00847283-eeb1-4b47-9b51-dd965dbd0130 · outbound

This paper cites Differential Geom.84(2010), 163–178.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Differential Geom.84(2010), 163–178

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:38.075086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f02bc37d-7d7c-4f2a-b1a6-64f117a708d1 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:37.868845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9b7bf716-aa92-4516-a41d-14d620774489 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:37.642269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 50022bcd-2536-46d9-be69-6edf65bc3d04 · outbound

This paper cites an unresolved cited work.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:49:37.465636Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 300e6136-8b6b-4729-9f2f-849d0a9fd779 · outbound

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

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals 151, Cambridge University Press, Cambridge, 2014

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:37.265597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9b7d033c-ab3e-4fd4-bce6-455c6defe8c3 · outbound

This paper cites Differ- ential Geom.92(2012), 263–283.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals Differ- ential Geom.92(2012), 263–283

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:37.078595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9576987c-b2ac-4c60-a0f5-dd7dee51f066 · outbound

This paper cites 7, 3075–3086.

Brunn-Minkowski and Reverse Isoperimetric Inequalities for Dual Quermassintegrals 7, 3075–3086

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:49:36.864316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.