Pith. sign in

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=sha256:1b8a804fb470bd8483cbd6a4aa92c93e9dce9e6803bb7e0eb7fc23ee66d9e1f2

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:ec3beace01144c98e50d3c10becf15acf63ccca21bef1448e66f007047e4f6ea

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:dd47b25f63c816d00c5ff71be9a736bf851745e9c4c3110aa91bde188f1dde98

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=sha256:9db912d4c489f142e16eec15eedb763ec0b74e2d1c1ac4f44306b3099fb2ba51

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=sha256:3ba0724577d314c9a2700b3f7ce259ba9472851967c9ee2119358a9eac8661f8

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=sha256:37d4fdf18509d4a8fd4bf9c994bedc721a15e740cd86d679ce88778dfafe2c57

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:f8ba4ad667c026ef4b5b41771ffac942dc4e32c8da367f4ea31bf8b3dda37a36

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

Resolution
verified fuzzy
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=sha256:73348d7293c94ae5e527d9263351360e90feefd46611de1dc57931b953492332

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:c8c0030133bcf16ae4c8d103855f83a632060c6200c729e404e6e5e983bf7d7f

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=sha256:20a2cdb6d156a4da636daa10e08ef155e0b21941e1e4169a638b7e09e7d10636

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:a081e77198e97f840a3f5e2280c44df65431b4fc0ffc30e1557d2cb6d10e722e

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=sha256:42d656f66865512570bebfd655e828666b6bd80c6f2691ce93a364a3aaa83da5

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=sha256:656a99cdd6d6399ab5405dd78c112e174b5e2b052653102f89e871a86d5e7944

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

Resolution
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:ca0fad68729f8083c1ed81b75073c30edf20d02b60844619a411d537a443d7a1

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=sha256:419fc19dbc8d8e2d12337fa76d0870bfc11bc3871d70d91996884e27fda9c3ab

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:b915dc7536073b758f7297d8326e6471e2a37ed17eb041e8446f480ccbbb67f1

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=sha256:42118276c97fa046ccbced8e7edb29b3a2dcbdefe8a3d5d0f52465b29547be1d

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=sha256:0f5b0617b65727b9950d2823089731f5f4a728fc0cc9c113ccef13724e802bf7

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=sha256:95d522e7534bb95a0aac694a5eebdb4feff7f95f49f9367ef6d12f398c58f126

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=sha256:85422e8323bde4a822cdb8a079bffed462a013d2b3c495f129a939523953534b

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:ee7a982d0078a3305df90c2627b2e9778c724b93b429f93594875dccc2861307

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=sha256:6f550e9e3961d1073d15510596bceb2db9269afcc4c857a32c39163e5683bfed

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=sha256:6ed7ed92444df1e3fb96bc79c6acf1089d46eef7540f6656e724f4a4f98012c1

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=sha256:392fd4f027ee367c552635a403f14c4cc577dfff8ac8598c3b91672fc92c0064

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=sha256:7ae4c7773f3d5d48485ca58471ef8bdd5fbc822ea1a85d187aa84dd0e61f33d4

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=sha256:45a5669da7267eaec274bc1528f4d8e7acf97879a81ac3f2d98669bc87fe78d7

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=sha256:2559bc847993f58a18dd03301d302858a9ad532fbc65539069838d61501d14a6

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=sha256:5179f8f1b56ed15aa14e3dc80b2c4adc46b53f5998b60798a4e0b43fc44733ff

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:b2c7ab79c16b281c752d47d76ae246628d94ee23702d728bd29f8ec05dad0b9e

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:aed9cb4d7d32c45d9f364a93f444574aa06441289aa66561ebf10e57c07f8c3f

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=sha256:283335bcbce47e6e51cfe98f5d6443123bee89228228e6fa6ef819d41beedfee

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:e2297b09e6097c561cc1c441404183d6a6fd46240db00f4a2a7707c2a918f688

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=sha256:87c356c13e47b73bad6a3ee8cddcad3584fa1b57173db4d3a5175c35fc5b7e7d

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=sha256:8256ec9eeb382f13e7d6b1bfb50bc976a8cb9e5eaefa43430812b87eb7fc6c93

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=sha256:00e3bc981a1d0806a3cdcdd660b8a51bfe6fbd7238a472b7306800a7eb64b96c

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=sha256:22adc4dbc996abe4e57be3ee252cc48b69596fa092b538efede7c9510e11f3bb

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=sha256:08ebfbdc8a1f419885fea087cc8977e571d2256840e77ef07153c3a345a3a319

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=sha256:643a460f56c0e2e47e35636120a266579b75eb00533ae29434818ebd65f4598c

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=sha256:506b70ccbd53c5574fd37fb845a603f708fbb41447994b88bb5db5696dff774d

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=sha256:0358451c960869b67968f748d92ed23d5c61250148740d3bd8537729741a0228

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=sha256:61939e9b099237f4152c301749118de6c336d962447705330ca04138a2c9b5ab

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=sha256:8e71dc5ffd1c0773adfae9398d345322060af96ba409b98cce7bffd295e4f1a0

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:f63fbe51c0677d8d1629275c2d86b6567880a84608e7c192556f1c1a55906341

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:bd4ebf6a87fbd5e06cec954f1ac8ef17cad316543a7eb57ea516fd281cc68efb

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=sha256:9e9b3ff468b1fad27a76e6230fe9eeca25a0f58c7b5640a03112cf93b878dc29

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=sha256:785123caf389bd0d39b955ced44514a92cd04058c1f85eebe104ea455616c264

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=sha256:78f0b54f9adbc5c6037a9549f7b887113c6d478b21dc3e76e4d6bdb2f9572d18

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=sha256:03f7cc7c2cfb0fcb9069d01abcdf95396b6bde77114fef68d49aa146cb00e51b

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=sha256:9acc310fcbcb117c0dc9a9cae04a852b0acc3c5452e725b0f701bcc527583a91

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:eaa398ff422f94cde924b743757bd44101351825bbf37abd2ce9d72457226966

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:cf8a56fbd048e9c033568689ff76bfaeec85a200209c23d80b163ede331d8db1

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:be063eed3abf69b257e93c06dccb221c06e4f4599d2cab003932c81b43c27673

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=sha256:0f4290c219c86e4fab97a2cbfba17ccb43136aae13a63fea23963972685276f5

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:b6092c1f74c01c564b25890bdf1114298c3cac2e6485cd5609c4cb0f655b5606

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=sha256:684474a7b4196b89b78b550b8aa82108f09072fdbc854db1e725a123e141a60a

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=sha256:1ffad41b3db1123051d2e6a44938a8e9c2a031dfa26c022249cd23ddd06e1d76

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:f9af0ede6bc28a1bf0644a6efe6d3767e1cfd487f23e3ea145c4d73427cf9db4

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:b169c6d9c38fb7361bb065f99b079db13c2e6f08905b19e21b54355586f0567d

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=sha256:2390b2b7870ae1f5b900f4b593f985a3c4da0dc4065d402de3af9d918f484f2f

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:a489b95f3352be3703a4ce34dbaa55e013015810b3b9cc2dbcc484e0ce52398b

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:cdb808e2c3b5c9aa9d4b4ed6b8a9927cc4cf3ab68e0d98065138b88d0dd977b7

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=sha256:3a7fafb0d82565f0fe97899bffcb068c3b141c86371529f052375883672cdb95

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:df7bbd6668ba3d30714d4bf02be9c7d4320285fe69d2398798b1a3c1d1d847a4

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=sha256:6484653217225051cea1d305d3311d3b268d330be17ffb6b6fa0df51ad7fba21

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=sha256:20efd766ca6c7201b3bf82d4c749aae671b5839878ec34667bb2dbfbe7f3326b

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:e17770147e6c29cce0d0f2a104a9986ceb1c2c2d8e9d972ef42c831b2e2078ff

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=sha256:46d43c520a0be6e7e87970f5d779c8041763065becc18e2a4ba5c153307b8afc

Pith citing papers

No inbound Pith citation observations are available.