Pith. sign in

Paper Citation Record · LEDGER

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.03949.

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

pith.paper-citation-record.v1
2608.03949 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:58:44.142952Z

measured 29 of 29 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 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

29 of 29 outbound references displayed

  • verified exact2
  • verified fuzzy20
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b1b9c20-3a91-4d20-b765-9fc6c8f6b4e1 · outbound

This paper cites Bollob´ as and I.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Bollob´ as and I

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.715976Z

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=2026-08-15T14:58:43.670907Z digest=sha256:3dcad8cc3c7399225ba47bd2e0b666b0967867002093c37879ba57c2bd33a7d7

Observation 8fddcd0e-5f1d-4914-b64d-b4cabb53b410 · outbound

This paper cites Chavel,Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics, vol.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Chavel,Eigenvalues in Riemannian Geometry, Pure and Applied Mathematics, vol

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.701062Z

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=2026-08-15T14:58:43.725664Z digest=sha256:9a955c35064e4dadf826121df913e9024403ee26c2aced99114a3b0ed695c501

Observation 418ee08b-e7fc-4abb-8669-081a501ee5a0 · outbound

This paper cites Colesanti, G.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Colesanti, G

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.525159Z

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=2026-08-15T14:58:43.793353Z digest=sha256:d5c8dc6c01ff8eb7486cd693c648d6e6f2745e3e1abe063a8f186fb7df4af535

Observation 1446e416-c5db-4a74-bba1-2379746520a5 · outbound

This paper cites Probab.51(2023), no.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Probab.51(2023), no

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.456681Z

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=2026-08-15T14:58:43.799002Z digest=sha256:dbaeedc16819d6b64db9d98d5384ba2e54f3896285d5e07e3d0b9f4bf15137f9

Observation 4b1fbb1e-ce24-4ed1-a9a9-bf53d75cc854 · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:45.441621Z

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=2026-08-15T14:58:43.804331Z digest=sha256:44078aaa797c76b212efc9b38dcd24d403da1c427fb2f70c41135402c1d9d9cb

Observation 6dd4150e-250a-460d-a79f-e4d4df7e56a4 · outbound

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

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Gardner,The Brunn-Minkowski inequality, Bull

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.425825Z

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=2026-08-15T14:58:43.809378Z digest=sha256:8e6117049371d60056c3f787df7d5e60c689a2b616a157dee0ed166804332690

Observation 280d0219-f103-486f-872b-717866b49d97 · outbound

This paper cites 58, Cambridge University Press, New York, 2006.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ 58, Cambridge University Press, New York, 2006

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.253052Z

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=2026-08-15T14:58:43.814473Z digest=sha256:fa80bddd504734e44ea713f8d96971d29121a3be75633d47d1e46107a85c64da

Observation ba15c764-68d0-4fb2-95ee-03a0ad8fe619 · outbound

This paper cites Gilbarg and N.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Gilbarg and N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.153941Z

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=2026-08-15T14:58:43.818647Z digest=sha256:e08d5f5885fa2ae9cd3fa2a0adca8fc053e48093d973fe41f3dbb4c0321ad6d2

Observation 138addba-15ed-4fe1-a17d-de70dc645be8 · outbound

This paper cites Groemer,Geometric Applications of Fourier Series and Spherical Harmonics, Encyclopedia of Math- ematics and its Applications, vol.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Groemer,Geometric Applications of Fourier Series and Spherical Harmonics, Encyclopedia of Math- ematics and its Applications, vol

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:45.010696Z

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=2026-08-15T14:58:43.823116Z digest=sha256:4144a8f6775b06c3ec365b2dfba97057de3eebc7af1f3be3594e5f130e8de88a

Observation eefc8ab1-cd4d-481b-b40d-cd84de3fdbdc · outbound

This paper cites Hadwiger,Konkave Eik¨ orperfunktionale und h¨ ohere Tr¨ agheitsmomente, Comment.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Hadwiger,Konkave Eik¨ orperfunktionale und h¨ ohere Tr¨ agheitsmomente, Comment

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.992619Z

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=2026-08-15T14:58:43.887652Z digest=sha256:3542d349ddb8c5deea84f411786af271bbef463fabc42cc53962fd5c62c8b0ea

Observation 187cc4c6-ae4f-4cff-b0b2-417f7ba1dbf2 · outbound

This paper cites Heinonen, T.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Heinonen, T

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.979093Z

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=2026-08-15T14:58:43.949129Z digest=sha256:bf722606031c24bd93bc49795b9679980106c901ecb818363496d589f5c37ef4

Observation ca8732ce-8eea-481d-a30b-f96759aa7742 · outbound

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

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Weighted centro-affine Poincar\'e inequalities

Reference 12

Resolution
verified exact
local_arxiv, observed 2026-08-15T14:58:44.363906Z

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=2026-08-15T14:58:44.001280Z digest=sha256:87b0b3e7f31074f4e0b0629d0bc7d6a2e62ad4f2d60e32cf14bec3390540d8f0

Observation 6324edbf-bb1d-4efc-91ab-d0ade8b3819a · outbound

This paper cites 2, 325-388.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ 2, 325-388

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.966950Z

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=2026-08-15T14:58:44.006427Z digest=sha256:8856052c10657f517aa494ff4c3c495826c170872e68e23c8cb4276943c79d1d

Observation 9247ab97-a01c-470e-9dd5-f67a69390571 · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.953850Z

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=2026-08-15T14:58:44.011202Z digest=sha256:8b8b1ac86979bbe083e656d57398234e46f223472d49e1c4bad08b7a532525b8

Observation 106ff632-00e8-4ac0-b4dc-4ded6470a5d8 · outbound

This paper cites 116, American Mathematical Society, Providence, RI, 2005.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ 116, American Mathematical Society, Providence, RI, 2005

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.939246Z

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=2026-08-15T14:58:44.016231Z digest=sha256:c55c5abd660358c21f602cec06e8accc4461d927d6c0551bdbaacb0bf0e92edb

Observation 4dfd8005-15da-43e9-9222-f3338fa62a8a · outbound

This paper cites Kolesnikov and Galyna V.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Kolesnikov and Galyna V

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.926121Z

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=2026-08-15T14:58:44.020123Z digest=sha256:69f56b8b199107a262b72bff63dd503b3a673206f44bdd2f683dcd3aed4debd4

Observation 9163c881-a99e-4c4e-b475-88a65a942bfd · outbound

This paper cites Kolesnikov and Emanuel Milman,Poincar´ e and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds, Amer.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Kolesnikov and Emanuel Milman,Poincar´ e and Brunn-Minkowski inequalities on the boundary of weighted Riemannian manifolds, Amer

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.912492Z

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=2026-08-15T14:58:44.026457Z digest=sha256:3fa67dd44888b881807978aa16e09b66edaa362672d6ad29cb5518eadbe9761d

Observation e754a870-8d39-474f-b7a4-1e6f6f64d8ef · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.793598Z

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=2026-08-15T14:58:44.031988Z digest=sha256:93656227ab4650b641deef827fe552f4f55bb88b3e872cb9c06b5b502640b3c4

Observation e64c8224-065d-4b9f-86b6-0b79494edae8 · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.699593Z

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=2026-08-15T14:58:44.036856Z digest=sha256:50f8ce43999b7d8ffa9b75ec1f905204c19c937494f0fef2b12ab305fdad088e

Observation e1f79881-73c4-4d33-ac9a-664106193c25 · outbound

This paper cites Math.58(1975), no.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Math.58(1975), no

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.671149Z

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=2026-08-15T14:58:44.041880Z digest=sha256:f0040175a4ab4a45f95fa3283c3d3ff59c37ce21f9a23b29db04e1bd4ba7a481

Observation 450a0fe2-0ad8-4722-9b13-39deb3b2fa9a · outbound

This paper cites in Math.71(1988), no.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ in Math.71(1988), no

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.653889Z

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=2026-08-15T14:58:44.046853Z digest=sha256:172622362b786ae2e66b8fdcde599b56e94eddfcb861d029a40bb011a77c982d

Observation 992a2a16-6ca1-4a73-8883-5f8f4eb52fd2 · outbound

This paper cites Math.329(2018), 85-132.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Math.329(2018), 85-132

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.637314Z

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=2026-08-15T14:58:44.051254Z digest=sha256:e2cfe3fc0a83dc9b7e7ab0df5ccfd78de7a37f8106dc3a00002f8ac290a0e0a9

Observation 94f4e5f8-383a-41da-920b-40416962dea8 · outbound

This paper cites Math.480(2025), Paper No.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Math.480(2025), Paper No

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.622359Z

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=2026-08-15T14:58:44.056006Z digest=sha256:3045bb1b1d448636688beacef37407d63171e54bdfa31b1bdab603b5f025c419

Observation 7a46317e-4fda-4aba-b668-62644960bb82 · outbound

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

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Saroglou,Remarks on the conjectured log-Brunn-Minkowski inequality, Geom

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.606300Z

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=2026-08-15T14:58:44.059701Z digest=sha256:a98ea37ce55a816115f22ae63e689619aa016902afe74f84cd8a2c24d75c5933

Observation 40dbdb62-f159-4996-a3ba-4fab1035d0da · outbound

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

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ 151, Cambridge University Press, Cambridge, 2014

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:58:44.591474Z

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=2026-08-15T14:58:44.064153Z digest=sha256:e176bbdd55a400970a57ec6a99e214d57534497ca42116bb2f1ec008cccd6dee

Observation 3e75c5ac-4a21-4e70-bab8-c154c18f0077 · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.476802Z

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=2026-08-15T14:58:44.069276Z digest=sha256:ab0724822dcbe09ac9ace6e562c92a2433d8242405ea17628c422e1b036466f4

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

This paper cites The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem.

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=sha256:68fb11e77bcbb2db909e78de734c6dc3b1d36f1d140929a3c03f157f56e641c1

Observation cf842da9-784c-4f57-a092-cf66f935f151 · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.395908Z

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=2026-08-15T14:58:44.078442Z digest=sha256:a53dca40029473bec64f1c5ee5294d7adea52291109ac6b84123f0ebaf842d8d

Observation 8a72bc1d-815f-4265-b4b5-ebfb9c21611b · outbound

This paper cites an unresolved cited work.

On the Brunn-Minkowski inequality for $q$-th dual quermassintegrals with $q>n$ Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:58:44.379935Z

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=2026-08-15T14:58:44.142952Z digest=sha256:b90422ccd5215c3838db64b05cfa1e67113baad82c407a7faa89640ba03a9ac3

Pith citing papers

No inbound Pith citation observations are available.