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Paper Citation Record · LEDGER

Lutwak-Petty projection inequalities for Minkowski valuations and their duals

As of 16 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:1908.01634.

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

pith.paper-citation-record.v1
1908.01634 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:20:54.072244Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

67 of 67 outbound references displayed

  • verified exact2
  • verified fuzzy59
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8aefab05-3901-468d-9467-48223a39cf11 · outbound

This paper cites Abardia and A.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Abardia and A

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:55.017802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.788710Z digest=sha256:9ba29be5511c87d02d36d41994f7c41c1593432c72f05c332ac1948db03aaa5f

Observation 2e026ca2-8e6c-4610-ba04-6568356ac390 · outbound

This paper cites Alesker, A.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Alesker, A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:55.002785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.793700Z digest=sha256:0e58d592a415f1598dc0d3004dc47fbd6f8f20896b1756b685cc584323e37f6e

Observation 3539f271-83db-4eb0-9613-fc743dcdaa8f · outbound

This paper cites Alesker, S.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Alesker, S

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.988887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.799598Z digest=sha256:602eea1c3eba294ef75063636a8e36a2a09dfaabbd937f5694cbdb2be2a0c014

Observation b413eba1-9f90-41c8-8587-e67f6798287b · outbound

This paper cites an unresolved cited work.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:20:54.973797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.804701Z digest=sha256:d7ece9e59f04bdbdc266e368ee1631edff1d33ca0ecc9d724a6a62c9ed77622b

Observation e95cfc9d-8a9c-4699-9d0b-883f76aac003 · outbound

This paper cites Bolker, A class of convex bodies , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Bolker, A class of convex bodies , Trans

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.957475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.809115Z digest=sha256:69a028bfa7251d1f2431af700eb2f6dd812f50eb8e77e9010f4ed8cebf7aea56

Observation eef9b48d-5a1e-4961-9e30-c5b9c5be8b34 · outbound

This paper cites B¨ or¨ oczky,Stronger versions of the Orlicz-Petty projection inequali ty, J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals B¨ or¨ oczky,Stronger versions of the Orlicz-Petty projection inequali ty, J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.938520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.813662Z digest=sha256:bd25e702d39dcfcc4a46abd4db8d2af89e2791819cc8874f4d95b0887a4e3b2f

Observation 4bf2a36b-ab61-41d2-85db-1070f7d5701f · outbound

This paper cites Busemann, Volume in terms of concurrent cross-sections , Pacific J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann, Volume in terms of concurrent cross-sections , Pacific J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.923625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.818858Z digest=sha256:2dd5523c7c9811ce3d1f9f1ce54f2932c19d0f97babf04105cc9746c19945472

Observation 49151918-568d-4ed7-9605-26b4f598c784 · outbound

This paper cites Busemann, A theorem on convex bodies of the Brunn-Minkowski type , Proc.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann, A theorem on convex bodies of the Brunn-Minkowski type , Proc

Reference 8

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raw_fallback, observed 2026-08-14T15:20:54.907088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.823660Z digest=sha256:eb290797ef8a4c43335f9d5a5e4e9a2670239376a60db97de6643b70c331d486

Observation a5bc98fc-0521-4c0e-ad11-2aa41f18e53a · outbound

This paper cites Busemann and E.G.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Busemann and E.G

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.891063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.828015Z digest=sha256:c2063c64b38b2fa1fe0724e589ea13df7e66c60bfb0f8f8d864bd9e03d0c200d

Observation c7e338ee-ee4d-4e1c-aefa-86bce540c6c7 · outbound

This paper cites Campi and P.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Campi and P

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-14T15:20:53.831852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:20:53.831852Z digest=sha256:36e1d94107211593fabbee5fc190249f0daed939bebd8e5446123abea7a6a8a0

Observation 829ac3fc-d1bd-4886-a369-a7bd08883142 · outbound

This paper cites Dafnis and G.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dafnis and G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.870068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.837405Z digest=sha256:48515975c6f4037457045c007b8efa9978844f357240a47a08f073c1f591bf22

Observation 09e6b594-0f13-47bc-bc10-e7b048f6eafd · outbound

This paper cites an unresolved cited work.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-14T15:20:54.858025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.841709Z digest=sha256:9011d6313ea56822ca7a3b9a272990a3ea779cad468b53dcd7d2dbf67dd9d274

Observation e08cc475-e679-4caf-8228-5a4ad8f6f4cd · outbound

This paper cites Affine isoperimetric inequalities on flag manifolds.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Affine isoperimetric inequalities on flag manifolds

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:20:54.136453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.847207Z digest=sha256:75674e88c5c7ab49ca892d0e467bbb90a50132daa191024eab8b3169623c16a0

Observation 6b15cc34-c2f4-4d0e-982e-4fb056f2486a · outbound

This paper cites Dorrek, Minkowski endomorphisms , Geom.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dorrek, Minkowski endomorphisms , Geom

Reference 14

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verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.846612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.852790Z digest=sha256:30ae8c9a2806b009e09c4e58ae4838cb0370e50cca2899168d6e397037ee2ea1

Observation 02685552-a0d6-404a-bcd5-930278f944d8 · outbound

This paper cites Dorrek and F.E.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Dorrek and F.E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.825301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.857811Z digest=sha256:616f2337fec198145fd23658f884ed452e3e5dd3838328625a998cbcdb5bd345

Observation 08c147af-77ff-4831-ad1d-7707636020c9 · outbound

This paper cites Firey, p-means of convex bodies , Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Firey, p-means of convex bodies , Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.812344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.862927Z digest=sha256:71cdb38f0baed6ad5eef56525db5b43da7ea9779e15c8eb0cafa73fefbc1cd78

Observation ae8b4bc5-c8c5-49ac-b772-a41bd2055854 · outbound

This paper cites Firey, Blaschke sums of convex bodies and mixed bodies , In Proc.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Firey, Blaschke sums of convex bodies and mixed bodies , In Proc

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.797506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.867543Z digest=sha256:38e7472a315b19aaaebda77e5a9bb42a8081fce1b2ce567369391d683b7adfba

Observation 0a41ff5b-bb07-4541-946e-066dafa48055 · outbound

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

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Gardner, Geometric tomography, Second ed., Cambridge University Press, Cambridge, 2006

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.780602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.871406Z digest=sha256:d276f993064d66cd2f0e040b9fb70bb9f9bccf27e9f133d94b7bd28a5ce7d8be

Observation 2b45c399-0664-4789-b8fa-d3f22fbe6406 · outbound

This paper cites Gardner, The dual Brunn-Minkowski theory for bounded Borel sets: dua l affine quermassintegrals and inequalities , Adv.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Gardner, The dual Brunn-Minkowski theory for bounded Borel sets: dua l affine quermassintegrals and inequalities , Adv

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.764313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.876336Z digest=sha256:4479a5d86c9ecd37bd31cccd79edcb57601112e2aed7ce5f7ee756e7d5998bb0

Observation f3b1cd03-d042-4c78-855c-52ae524cb986 · outbound

This paper cites Goodey and W.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Goodey and W

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.749994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.880511Z digest=sha256:186b1eb6a91c084a5190090bd577c172449522378de2595db1795f19c190b566

Observation c41e5d60-0fc6-48e0-ae26-79d5d09d046d · outbound

This paper cites Grinberg, Isoperimetric inequalities and identities for k-dimensio nal cross-sections of convex bodies, Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Grinberg, Isoperimetric inequalities and identities for k-dimensio nal cross-sections of convex bodies, Math

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.735253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.884561Z digest=sha256:24ae4b37e7d11166f3e8fe09fc23fad78bd605a665a61609517f4a80c7188cdb

Observation ba7eecd6-2ff5-43ec-aaf7-bff897d3cc09 · outbound

This paper cites Haberl and F.E.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Haberl and F.E

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.720834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.888853Z digest=sha256:836869fa9c293c46eaf199c69d560aef85514ff3a1f9badcf237424e841fdf79

Observation 0cfaf20d-3857-431e-a4d7-12b1ffd8f377 · outbound

This paper cites Affine vs. Euclidean isoperimetric inequalities.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Affine vs. Euclidean isoperimetric inequalities

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-14T15:20:54.115477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.892757Z digest=sha256:edc678726adcd524fe26ee4398f908b40b4076061fa7ea963b9aca661e5f3d81

Observation 3452415f-6081-4987-9efa-2bc8bf139e17 · outbound

This paper cites Haberl, Star body valued valuations , Indiana Univ.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Haberl, Star body valued valuations , Indiana Univ

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.706426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.897516Z digest=sha256:ae66f013b5a636fc488dbce57fc48d906cf5b59e04eafba59eafbf25a0bcf31a

Observation 2662d4bf-35d8-4eec-8ab3-7e9b0ec80346 · outbound

This paper cites Kiderlen, Blaschke- and Minkowski-Endomorphisms of convex bodies , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Kiderlen, Blaschke- and Minkowski-Endomorphisms of convex bodies , Trans

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.691048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.901396Z digest=sha256:131cb8fe48caf24526f8d7b859a4d7dd21eff521687431fbebb671ba9d283875

Observation f4e0ac61-7f63-4bf2-99f8-87a6d9f19568 · outbound

This paper cites Leng and J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Leng and J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.678286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.904703Z digest=sha256:ee6288076b7fc591ebc8c84b8004c4d8fa4c75803003aaf0b2dfbe8b94de1d31

Observation f5909a19-e845-4195-a2ef-b80484268b78 · outbound

This paper cites Leng and F.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Leng and F

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.664195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.908164Z digest=sha256:ce9b6f636911537e3e7006625875de8fbb54c653a1db60121b95544e15daafdf

Observation 90cc6490-b590-41d5-b113-9fae75ece296 · outbound

This paper cites Ludwig, Projection bodies and valuations , Adv.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Projection bodies and valuations , Adv

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.650321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.911832Z digest=sha256:8c8fc16b26ebbd563ccea2b0c3af712ec30370933e14355f0e9cd12fbfe7d8df

Observation aaa3dce6-23fd-43df-af2c-4ac625a3dea1 · outbound

This paper cites Ludwig, Minkowski valuations , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Minkowski valuations , Trans

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.635407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.915208Z digest=sha256:b5ed4c328054a56bded3fab4be8e253244fb78aa52aa3555285f24cd000132ac

Observation cecda7bd-1baa-49ed-ab4c-25d7d069d56a · outbound

This paper cites Ludwig, Intersection bodies and valuations , Amer.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Ludwig, Intersection bodies and valuations , Amer

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-14T15:20:53.918427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:20:53.918427Z digest=sha256:0504c6a3276a056d29e51182606c67b0eea41eb7a835baab6a6fd040ae63b34b

Observation 95f309d6-259b-45d2-8484-5f715e664b9d · outbound

This paper cites Lutwak, Mean dual and harmonic cross-sectional measures , Ann.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Mean dual and harmonic cross-sectional measures , Ann

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.615115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.922807Z digest=sha256:76fc5190db6a0cea82f56ad4676f03e7316449eb095370e602243c9a41e31524

Observation 9f49ffbd-467e-4cd8-8e9b-f81e51402e89 · outbound

This paper cites Lutwak, A general isepiphanic inequality , Proc.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, A general isepiphanic inequality , Proc

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.601747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.926564Z digest=sha256:7065640d49a883766347849be4ab1646350916571d1299e719560110497a8fe1

Observation ab818394-25d9-4459-bb76-ca3ccf69c8f9 · outbound

This paper cites Lutwak, Mixed projection inequalities , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Mixed projection inequalities , Trans

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.589057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.930421Z digest=sha256:bbbf72b038a4b77da54e4a30b479f0822a8571596966da93c7deffcea41f1a53

Observation 99324df3-59af-4bdf-a4ca-6cda7675088d · outbound

This paper cites Lutwak, Volume of mixed bodies , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Volume of mixed bodies , Trans

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.574611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.934080Z digest=sha256:e621d461337795342f1c4c498607f05501044993e4c0e593f76ccd72ac8e5557

Observation 7b4d0c54-2127-4852-816f-4f8e2534b816 · outbound

This paper cites Lutwak, On some affine isoperimetric inequalities , J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On some affine isoperimetric inequalities , J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.559192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.937987Z digest=sha256:23f5633dbd2fd62d8a5e8f7d6dc19e9922282519584025ea988e016d30a9f2d0

Observation 15cfb098-bf33-4952-afd1-d7a261c114ab · outbound

This paper cites Lutwak, Inequalities for Hadwiger’s harmonic quermassintegrals, Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Inequalities for Hadwiger’s harmonic quermassintegrals, Math

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.546796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.942864Z digest=sha256:f63fbbdbb9367d2f77e4a43517b9e914f869b1ea8ada6979c8e4f40eec34b7b1

Observation bbccb966-803f-4f40-bcaa-cf73b2871e9c · outbound

This paper cites Lutwak, Intersection bodies and dual mixed volumes , Adv.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Intersection bodies and dual mixed volumes , Adv

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-14T15:20:53.947564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:20:53.947564Z digest=sha256:43d71274f1539339acd5eaa3a257e7a9bdee986cd706761317315e21b6d4161e

Observation 1a0b7bf4-dd42-4b5c-9681-9a5899dff00f · outbound

This paper cites Lutwak, On quermassintegrals of mixed projection bodies , Geom.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On quermassintegrals of mixed projection bodies , Geom

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.525238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.951718Z digest=sha256:d37ffd058a10513e2bc8262953df0f3f56128d38f2c2ec6afa4e0f718e664b7e

Observation ae925db7-0b22-4ce9-8fe0-c899286853c5 · outbound

This paper cites Lutwak, On some ellipsoid formulas of Busemann, Furstenberg-Tzkon i, Guggenheimer, and Petty , J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, On some ellipsoid formulas of Busemann, Furstenberg-Tzkon i, Guggenheimer, and Petty , J

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.513167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.955789Z digest=sha256:616bb6cb8cf6c4de78bd049e9a5ce7a4b3e92909e7e29f2317fc23e3a82eaa5f

Observation 81ccffa9-2dc1-49a4-a7e4-7a5492047ba1 · outbound

This paper cites Lutwak, Inequalities for mixed projection bodies , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, Inequalities for mixed projection bodies , Trans

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.501586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.961109Z digest=sha256:6651cae38a00927515fd3b7961fb41c133c66ae911c357abb4f24912b17c5d86

Observation ed7dbfa8-d6d9-4330-a3fd-35a258f71bdc · outbound

This paper cites Lutwak, The Brunn-Minkowski-Firey theory, I.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, The Brunn-Minkowski-Firey theory, I

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.488500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.965676Z digest=sha256:c935ebe9a3ffb5199ebb78f3542d3de19b7a46aaf37ca31b6230c0841a3c62ff

Observation 7f103ad3-a20d-40e4-a385-18cf848ad44e · outbound

This paper cites Lutwak, The Brunn-Minkowski-Firey theory.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, The Brunn-Minkowski-Firey theory

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.474511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.969501Z digest=sha256:c10748c807ce53df647c613e75648cd24f2136e42e1ac8b8724b235c95c4a1e4

Observation 96ea7beb-c8cf-498d-9191-ff57726b7565 · outbound

This paper cites Lutwak, D.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, D

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-14T15:20:53.974329Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:20:53.974329Z digest=sha256:9a94c484d64a2b14f34aa39beae1cabd483e8a26b1ccc0c2ee64a980daf79675

Observation f0367c40-e255-4745-88c0-aceb7d917204 · outbound

This paper cites Lutwak, D.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak, D

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.452181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.979068Z digest=sha256:ba2c6625ac5b8b25b89e2a54268e6fee449b81ef40e8041a4d9260782d657198

Observation df4f0423-7890-45b7-8c5f-752b556e1303 · outbound

This paper cites Lutwak and G.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Lutwak and G

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.437771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.983132Z digest=sha256:0415d5d9ac758d16aa462318688657c844d99736a197d6bc654a3e55dbace032

Observation e0313793-f6ea-4277-a6b4-d6e527336270 · outbound

This paper cites Parapatits, SL( n)-covariant Lp-Minkowski valuations , J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits, SL( n)-covariant Lp-Minkowski valuations , J

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.426356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.987535Z digest=sha256:e94a13d197446d18ee18862559af2fe71be46a961b7ce7c99495848c3b5f19d8

Observation 3ad0d623-cb8e-460f-a994-3f35b5ab0082 · outbound

This paper cites Parapatits, SL( n)-contravariant Lp-Minkowski valuations , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits, SL( n)-contravariant Lp-Minkowski valuations , Trans

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.414775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.991518Z digest=sha256:22b5a959107cad967d82bcf5eb792eeb36e19d94fa24ff5fdf192d5f1b099c0e

Observation b7db6f51-47fe-429a-a16d-e78cd45a08cf · outbound

This paper cites Parapatits and F.E.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits and F.E

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.402246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.994924Z digest=sha256:3a14e5734d188b1e1e8721f703395ff0bee9389791b1b7bf7c8ef127ed93e99a

Observation 4b6771bb-cad2-4ca5-b23a-e9bef6ab9153 · outbound

This paper cites Parapatits and T.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Parapatits and T

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.390343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:53.998255Z digest=sha256:5a7197573f1bf0a905a48bcf82dba6ee4176f2bd61ff18a4d3510ad29a193a76

Observation da8279c6-6d68-40d4-aa77-3d59db09509b · outbound

This paper cites Paouris and P.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Paouris and P

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.378295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.002018Z digest=sha256:5607c33b613d5ead89fa4a9998b09d104b49635214b6924f3bc47d1be7970552

Observation ec4f8713-dd53-4989-ad04-b8258f77c10e · outbound

This paper cites Petty, Isoperimetric problems, Proc.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Isoperimetric problems, Proc

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.363080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.005342Z digest=sha256:46c2301fe440939f8e6454f874334392cc9557029b187980bd62c30c1151c440

Observation ee0ad370-6021-46b0-8ead-fbe5d99d2f7b · outbound

This paper cites Petty, Centroid surfaces, Pacific J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Centroid surfaces, Pacific J

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.349312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.008807Z digest=sha256:b58c5e24285c51572a00f13e1756936f6f499d898ff70964e103f2ef3ce6d7f9

Observation 77be151f-36e8-4d12-8ca4-59b85e0f380b · outbound

This paper cites Petty, Projection bodies , Proc.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Petty, Projection bodies , Proc

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.335916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.012065Z digest=sha256:283c0d79735003e32288cf9a096c03897835884b8ed9242772fa01f3a7357bbe

Observation 8616f0ef-9962-4a89-978d-118dabc92444 · outbound

This paper cites Schneider, Zu einem Problem von Shepard ¨ uber die Projektionen konvexer K¨ orper, Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Zu einem Problem von Shepard ¨ uber die Projektionen konvexer K¨ orper, Math

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.322633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.016853Z digest=sha256:e90b77efce2b243b153861792ce3540dfdb1874ac5f82980944b211e9ebb4746

Observation 0c1b2cfb-1caf-4099-97a7-fa6190a26d41 · outbound

This paper cites Schneider, Equivariant endomorphisms of the space of convex bodies , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Equivariant endomorphisms of the space of convex bodies , Trans

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.310598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.020859Z digest=sha256:563f1968ceb871eed3e0bb43b75879ad149c7ae6df898547dedd1c7ae8badc70

Observation dcb42669-218b-46d0-b9bf-f741e70df16d · outbound

This paper cites Schneider, Bewegungs¨ aquivariante, additive und stetige Transforma tionen konvexer Bereiche, Arch.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Bewegungs¨ aquivariante, additive und stetige Transforma tionen konvexer Bereiche, Arch

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.297213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.024608Z digest=sha256:093be92da49a92e20dd75df7801aeebbfd4d82a01e369508f6f247ea6e0229f8

Observation ad5be2e2-5d10-4ac1-ac86-331c2124422b · outbound

This paper cites Schneider, Convex Bodies: The Brunn–Minkowski Theory , Second ed., Encyclopedia of Mathematics and its Applications 151, Cambridge University Press, C ambridge, 2013.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider, Convex Bodies: The Brunn–Minkowski Theory , Second ed., Encyclopedia of Mathematics and its Applications 151, Cambridge University Press, C ambridge, 2013

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.285569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.028583Z digest=sha256:2b908fd90515e1612afa02c2b45c77e8a88ca7a09250a8b0f22cffed60b52347

Observation a5270eef-806f-4704-9658-7f7dff85ad7b · outbound

This paper cites Schneider and F.E.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schneider and F.E

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.271459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.032422Z digest=sha256:a32d7d661a06bf322f337dbc1a6d70ca1ff7d81919393a99ca8e8169245b26a7

Observation 2de92fc8-29f5-4973-bcd9-ca29e7077600 · outbound

This paper cites Schuster, Volume inequalities and additive maps of convex bodies , Mathematika 53 (2006), 211–234.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Volume inequalities and additive maps of convex bodies , Mathematika 53 (2006), 211–234

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.257229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.036533Z digest=sha256:a24a8643880a5ada7ed777ce84e520414306d87d28b6286d50a39c3a86650d00

Observation eaed0253-2eec-41dd-a7bf-e007f072f871 · outbound

This paper cites Schuster, Convolutions and multiplier transformations of convex bod ies, Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Convolutions and multiplier transformations of convex bod ies, Trans

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.243633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.041507Z digest=sha256:556376f8d00f4878af80ace51f72e3b952640313cfa425ea2e69f73a50588e22

Observation 7af2d9cf-45d1-4b77-b9a3-cc3437f39959 · outbound

This paper cites Schuster, Crofton Measures and Minkowski Valuations , Duke Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster, Crofton Measures and Minkowski Valuations , Duke Math

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.230848Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.045769Z digest=sha256:78551cda9432f7e4d990e320f5abeff60539bb50221c5b5eedd84d901a7c55f4

Observation cf26128c-8476-4f7b-a663-04673bd5842b · outbound

This paper cites Schuster and T.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster and T

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.218196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.049939Z digest=sha256:75da76577e2bc1510ed59d72f7bb0b0614b49214132c95436fa0a28288e7d0c9

Observation 59088e12-3992-4c31-a304-3f5185786142 · outbound

This paper cites Schuster and T.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Schuster and T

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.204653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.054077Z digest=sha256:2a732a35f55cc61ed7f5f1c667f38ca7753280b9b6e19cd2ac4469c6adb80f39

Observation a8922531-ce7a-49c9-aacc-a2c04745712d · outbound

This paper cites S¨ uss, Zu Minkowskis Theorie von Volumen und Oberfl¨ ache , Math.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals S¨ uss, Zu Minkowskis Theorie von Volumen und Oberfl¨ ache , Math

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.191017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.059050Z digest=sha256:e65079b40cf7f38ebae72f3f17d803cfaa60505d869ab9542e58045582edbe9c

Observation bb0993db-d708-4d5b-946a-5628fabd14b1 · outbound

This paper cites Wang, The affine Sobolev-Zahng inequality on BV (Rn), Adv.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Wang, The affine Sobolev-Zahng inequality on BV (Rn), Adv

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.177852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.063239Z digest=sha256:230b6cd44d078d90314ef504ad131d6d6baa96bcdd3c0a6ba785a46e3f1ce7c0

Observation 7c27da2f-35fb-4ae9-bdbe-b04eca3bebb7 · outbound

This paper cites Zhang, Centered bodies and dual mixed volumes , Trans.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Zhang, Centered bodies and dual mixed volumes , Trans

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.164760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.067826Z digest=sha256:a89b6dc0d29b27fd77006cc96d45a13040ba7419ed9226d81e5b03e7e5db9e3a

Observation da119194-5a1b-407b-8a77-8cd395642336 · outbound

This paper cites Zhang, The affine Sobolev inequality , J.

Lutwak-Petty projection inequalities for Minkowski valuations and their duals Zhang, The affine Sobolev inequality , J

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T15:20:54.151652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T15:20:54.072244Z digest=sha256:f4b65310c49ce618f9360b43d7daffa00cb33180090432dd17485a4619ded50c

Pith citing papers

No inbound Pith citation observations are available.