Pith. sign in

Paper Citation Record · LEDGER

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

As of 23 August 2026, this Paper Citation Record lists 54 of 54 outbound references and 2 inbound Pith citation observations for arXiv:2505.22464.

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

pith.paper-citation-record.v1
2505.22464 v1

Coverage vector

measured 54 of 54 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:27:19.178458Z

measured 56 of 56 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T20:08:39.810407Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:12:37.694400Z

Reference resolution

54 of 54 outbound references displayed

  • verified exact6
  • verified fuzzy39
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b041e344-0c8b-4094-b04c-0be7ddd14512 · outbound

This paper cites Description of translation invariant valuations on convex sets with solution of P.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Description of translation invariant valuations on convex sets with solution of P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.656802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.486810Z digest=sha256:60054715f7c0156ed86dd95abe64768306f0f38f0352d80300b115bfc21ae414

Observation 0442c55b-6751-45b3-a44b-ccd439caf32b · outbound

This paper cites Valuations on convex sets, non-commutative determinants, and pluripotential theory.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on convex sets, non-commutative determinants, and pluripotential theory

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.451305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.588820Z digest=sha256:5b8dcc4bd8e9d00d7e86d03b235197ffd0ece1c2499f37d4919524897577cd3c

Observation 2cc3a6e0-57ac-4bff-b59d-908d86ab06a3 · outbound

This paper cites Theory of valuations on manifolds.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Theory of valuations on manifolds

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.384852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.683744Z digest=sha256:8d3019bfa46ffc8e43bec09f3b89da51f705a2fe0b55007c9509613b511c2393

Observation d68bfcc2-af69-4ec8-8abd-709e3cb0e5a4 · outbound

This paper cites Valuations on convex functions and convex sets and Monge-Amp` ere operators.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on convex functions and convex sets and Monge-Amp` ere operators

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.328562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.756371Z digest=sha256:13b0045e09f681cbe97d7ff0850a485635700b00513c158739e77d70efd1c738

Observation de565243-fc40-440c-8f53-c035c4b62e88 · outbound

This paper cites Convex valuations invariant under the Lorentz group.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Convex valuations invariant under the Lorentz group

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.227182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.823248Z digest=sha256:76757595808ea0c228c21d8ba216d90c6051aff2672174d5629c1fcef5738e24

Observation f315d8e0-be35-4e9d-b7a0-eb4f23ae547e · outbound

This paper cites A Hadwiger-type theorem for the special unitary group.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A Hadwiger-type theorem for the special unitary group

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.147070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:15.906334Z digest=sha256:3030b43f1715a94bf1cab7b6be145131b13480901a38d4eb6800983d5bdca554

Observation 4069ab47-cebb-4f34-8e0d-d01d9bc49844 · outbound

This paper cites Valuations on manifolds and Rumin cohomol- ogy.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on manifolds and Rumin cohomol- ogy

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:25.073081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.001100Z digest=sha256:109afe9105dbd7c058782e6a726443a0617f0f1d649e470f0a7eea224e13ed44

Observation a8be676d-1cc9-4e42-a34b-31612f12a2c1 · outbound

This paper cites Curvature measures of pseudo- Riemannian manifolds.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Curvature measures of pseudo- Riemannian manifolds

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.947614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.100435Z digest=sha256:79e29e9dd08b682f2cafa9aac1b94b86b2e573603d09c9e5dd805ea6e62a0494

Observation d6a5e3b0-bec1-44fc-ac5d-7f6e726effea · outbound

This paper cites Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Hard Lefschetz theorem and Hodge-Riemann relations for convex valuations

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:16.267508Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:16.267508Z digest=sha256:cd7443a47e2adb91114b8d127e7c1bc9efda31c67581da14c6ab71ff1e6d5c7a

Observation 95643466-dc34-4f15-a55b-10648f787a09 · outbound

This paper cites The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The homogeneous decomposition of dually translation invariant valuations on Lipschitz functions on the sphere

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:20.277806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.355343Z digest=sha256:e7bebb86d6607bf2a469d4c802da0f52ae1c4ce49568eb879ed8ce1fb3664960

Observation 10c371d0-0892-4d65-96cd-27568a902677 · outbound

This paper cites Minkowski valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Minkowski valuations on convex functions

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.822766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.463688Z digest=sha256:e5d663968bcd041dce719eabe0582a1cc26989fa49d7103110972c064cdd3d0e

Observation 45108f62-0495-4e93-81c6-3a3ce93d482d · outbound

This paper cites Hessian valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Hessian valuations

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.689145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.545289Z digest=sha256:01bdd63f35c70653e4c9877507b0d1319902e12cd40301e16e5dd052a5403858

Observation 083d8d8f-bc89-4d00-8e4f-2cfa95c8d83b · outbound

This paper cites A homogeneous decompo- sition theorem for valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A homogeneous decompo- sition theorem for valuations on convex functions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.513338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.622981Z digest=sha256:c85119c516b75f7ca8c1a19344120649e1517d90c08a3a6f67a3fb1c4bc9b35d

Observation d318dc17-9edb-492c-a761-b9e0cf325646 · outbound

This paper cites The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp` ere measures.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Amp` ere measures

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.395490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.775762Z digest=sha256:f8ab64b6d3f49963b40b3621af8b62b5f319cd63d2a9f014a8b23531e789013b

Observation 473f941a-76cd-425e-903d-1fb302965911 · outbound

This paper cites The Hadwiger theorem on convex functions, IV: The Klain approach.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, IV: The Klain approach

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.261047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:16.910414Z digest=sha256:e3546d025c04785539b6da2d9a911f3b8aa93f92f4f57ee7aa10d1d63712c4ab

Observation 08f7f0e8-0183-4702-99c9-85d73d4a21e8 · outbound

This paper cites The Hadwiger theorem on convex functions, I.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Hadwiger theorem on convex functions, I

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.156076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.105580Z digest=sha256:dad699fd377455dd2012ed9f2799f23332b64473490277eeebf8d12516ffe289

Observation 2d133c93-c93b-46fa-9e00-1348ddef2b68 · outbound

This paper cites A class of invariant valuations on Lip(Sn−1).

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A class of invariant valuations on Lip(Sn−1)

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:24.063313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.159606Z digest=sha256:98e4ecf217b28f703b317c0b84b8ebc0fa13402734e61b4e652a774c64859d01

Observation f35649d4-c63c-4dba-b19d-de61c3cf327e · outbound

This paper cites Con- tinuous valuations on the space of Lipschitz functions on the sphere.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Con- tinuous valuations on the space of Lipschitz functions on the sphere

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:23.926320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.214831Z digest=sha256:be5a1b9e3ccca060871c33843c8933a8e164c5d7ea1c6e596bd58307c54083d4

Observation 8a29c47b-5581-4c91-9619-5f2188108ad8 · outbound

This paper cites Commutative algebra, volume 150 of Graduate Texts in Mathematics.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Commutative algebra, volume 150 of Graduate Texts in Mathematics

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:23.791079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.276645Z digest=sha256:975b2a9faac56a18cc8d12b3f2c1115ff7bba7294b848d5111aa49ce37d36a2e

Observation 4806af1f-4e06-412c-85d8-2db064f0da32 · outbound

This paper cites Convex valuations, from Whitney to Nash.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Convex valuations, from Whitney to Nash

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:20.152331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.339425Z digest=sha256:6e85ea4afc83e9837932c54ac1f7b204d0eaa394b2780fa74e49940728462b0b

Observation 0452aa1b-5d48-4bc2-a3fb-e453f0d1cf6d · outbound

This paper cites Unimodular Valuations beyond Ehrhart.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unimodular Valuations beyond Ehrhart

Reference 21

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:27:19.956496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.422656Z digest=sha256:cf24097323aab8d394860b93d399bf7ac55a49245f0f33fb02e458cbe0c99d52

Observation ae481886-9b19-4367-a0c1-3c12cd3170a1 · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:23.657319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.457050Z digest=sha256:cb92287a07ccfd872872dfbd0485b7c741cfed566c4fe99faf16b637334c915d

Observation 0e0d2b74-89f5-43b9-80bb-5988167f2545 · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:23.460961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.496718Z digest=sha256:bee311be123f2df88e6b5203b19824bbd58875bf4700d9e9ecd6e6254c3cd699

Observation 14787a4d-0369-4e6d-b318-6827438d837f · outbound

This paper cites Distributions and valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Distributions and valuations

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:23.317055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.546712Z digest=sha256:04d54083188d3b9ad1c9e6b092a904e86c9376f9cf411b503dec155fea3887a8

Observation 5ccbc460-ae89-4152-aac7-f757fa90a01c · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:23.173098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.603700Z digest=sha256:ab9d26ee1cc0073be1842fd8644ae63caa386ae55c1e47ad1bc42fd9ce1d83cd

Observation 8edbd114-af61-466e-a61a-4411e18873f9 · outbound

This paper cites Equivariant Valuations on Convex Functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Equivariant Valuations on Convex Functions

Reference 26

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T13:27:19.790634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.671629Z digest=sha256:1e199d709a8e29ac12deea9edb315189f3a0079252756e3641f0c24b89e3f85e

Observation 79e0d486-e1dc-4c08-b109-4891a9c3c01b · outbound

This paper cites an unresolved cited work.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:27:23.024470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.719207Z digest=sha256:de8f5f0fe3896247f6581cfecef1c6f3d4f226580248750043e536d8733fcce2

Observation 40cec162-1a8e-4e63-9d10-66d3656e9c4b · outbound

This paper cites The support of dually epi-translation invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The support of dually epi-translation invariant valuations on convex functions

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.888117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.772972Z digest=sha256:f1c6addae632e7ff4e26aec73b9ccd030e61f3149b504f2d24e44a3c45c32bbd

Observation 56c21b97-fe84-4b7e-bace-37bb315a7b09 · outbound

This paper cites Unitarily invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Unitarily invariant valuations on convex functions

Reference 29

Resolution
verified exact
raw_fallback, observed 2026-08-07T13:27:19.671678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.838254Z digest=sha256:c81aacc8278218cd84505f9a830812ad556115818c110f23d0a83b4c18b198d2

Observation 77210414-5c2c-4e6e-8e88-b8640aafe427 · outbound

This paper cites Singular valuations and the Hadwiger theorem on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Singular valuations and the Hadwiger theorem on convex functions

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:17.919872Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:17.919872Z digest=sha256:bba6c76238dda442ec727a1102bd8b386214c10b43246f057f177fb7020227d0

Observation 61f7cc61-9170-46a4-9ad8-3c10c7f5b223 · outbound

This paper cites A geometric decomposition for unitarily invariant valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A geometric decomposition for unitarily invariant valuations on convex functions

Reference 31

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:19.470931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:17.968699Z digest=sha256:0e53ad77547049327a937ca2f34565919c941869cd72407fc57c817db8fef7bf

Observation 0925f7c6-d369-4201-879f-5e3abd96e4a7 · outbound

This paper cites Monge-Amp` ere operators and valuations.Calc.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Monge-Amp` ere operators and valuations.Calc

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.762449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.031116Z digest=sha256:470a8fe576e50efa99218850f92a5453ed38dfb5c4d53fc67ed95cce4492132e

Observation a672dc69-48cf-4306-b894-defb564e2901 · outbound

This paper cites Smooth valuations on convex bodies and finite linear combinations of mixed volumes.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Smooth valuations on convex bodies and finite linear combinations of mixed volumes

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-07T13:27:19.355496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.079420Z digest=sha256:6968e7a525229ba3d0d4f06bc52098356748886994d68a411deb0bdd16d1b3df

Observation 055a4a98-7f4c-4fd6-bf94-ee15e00a46ba · outbound

This paper cites Smooth valuations on convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Smooth valuations on convex functions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.626489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.113260Z digest=sha256:58c824eb8979b03fac3158379ed6f3b4c322f9d72162fd6865b072a09ff1d5e6

Observation 436b8b2d-7a25-4b39-b70c-e5126a40b8b5 · outbound

This paper cites From valuations on convex bodies to convex func- tions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions From valuations on convex bodies to convex func- tions

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.443959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.163118Z digest=sha256:2eaf44d17bffcbd91034e30fba87a097298bb156e4f96f52a1d09cfe65141b84

Observation 91acaf8b-5262-4427-8deb-d718d5b1a2ff · outbound

This paper cites Polynomial valuations on convex functions and their maximal extensions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Polynomial valuations on convex functions and their maximal extensions

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:18.240376Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:18.240376Z digest=sha256:acf8461c47d2b7291e6a06c504d5e4cb2f563f1d284e19a142026f2759a695db

Observation 50952f1e-3e5d-4b56-93e9-b28a309741a0 · outbound

This paper cites From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies.Geom.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions From harmonic analysis of translation-invariant valuations to geometric inequalities for convex bodies.Geom

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.239388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.310361Z digest=sha256:d6e4f3a70fd69f2640fbbcdcca56d365b9ee4757e9f4070017b5179b1760f9ff

Observation b1f32c4d-1d12-440f-8d4d-de36c11b0eb2 · outbound

This paper cites Laplace transforms and valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Laplace transforms and valuations

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:22.061074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.359125Z digest=sha256:e109855778e9f64592227564e135795f102d86e9214f1646685f4777b883730e

Observation 4a3e2638-dd4a-43ed-b7ae-1c185a408de1 · outbound

This paper cites Fisher information and matrix-valued valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Fisher information and matrix-valued valuations

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.863077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.431295Z digest=sha256:24b9f43ab5327e14eea0758bc158d1fce0772cc135ea6de5ab3f45825bde4b12

Observation 9b4581c9-9cc4-476b-881d-ca6e39046770 · outbound

This paper cites Valuations on Sobolev spaces.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on Sobolev spaces

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.715117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.473050Z digest=sha256:14cc21ce953042a7bf5b6aa1dc328d6552b6453b00e16a0f3e75f2ae1701ed1c

Observation 29748690-98d7-4a42-9bb1-8caf127df2b9 · outbound

This paper cites A classification of SL( n) invariant valuations.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions A classification of SL( n) invariant valuations

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.636234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.507131Z digest=sha256:5aa5c9751d632c11bd98fae1cb922c70ead5fd92b8fc06827995c3cb3ae109f0

Observation f74e4dec-4b1f-4442-83eb-a6357606cb37 · outbound

This paper cites Valuations and Euler-type relations on certain classes of convex polytopes.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations and Euler-type relations on certain classes of convex polytopes

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.557850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.556380Z digest=sha256:0b18e32b5228fd9cb34a70c62ebae5eb9996e1a9bcca780ddae0084a7296f589

Observation fa519cec-c5c2-4a14-b9b6-22f7efa666b0 · outbound

This paper cites Continuous translation-invariant valuations on the space of compact convex sets.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Continuous translation-invariant valuations on the space of compact convex sets

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.460992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.607535Z digest=sha256:10ec0ceffb73fea7455344aa232dda29a4126172c30e5e6dc143a33ef2ca1cbe

Observation 4235e517-5252-455d-ba9d-01fa39812c82 · outbound

This paper cites The Vectorial Hadwiger Theorem on Convex Functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The Vectorial Hadwiger Theorem on Convex Functions

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T13:27:18.673857Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:27:18.673857Z digest=sha256:95d6ed5bbdfa8b09cb285351acc1a10fbe1b125953f128ea81f684ed43e6ec8b

Observation d66f00ae-4f90-46b7-bbae-6fcfcdfe0221 · outbound

This paper cites Volume, polar volume and Euler characteristic for convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Volume, polar volume and Euler characteristic for convex functions

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.386450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.737909Z digest=sha256:b230b34f1a992a877960e412cca4bc0874749e6de9460b048d9417a75e858f35

Observation 1fb852cc-0374-467c-8233-e55a27a7ce67 · outbound

This paper cites SL( n) invariant valuations on super-coercive convex functions.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions SL( n) invariant valuations on super-coercive convex functions

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.254748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.785057Z digest=sha256:af4b7c705182b601e0715310a189a0db4118facfafc384b88e05e9d3b82d18b2

Observation 133cf597-d481-43cd-819e-4b494818048a · outbound

This paper cites Tyrrell Rockafellar.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Tyrrell Rockafellar

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.135150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.842323Z digest=sha256:adcc89938fdce38670ab70062a8acb5b3453521078049f1f55ce58db962b532f

Observation c4060f3a-1050-4a12-9477-4ee412d91726 · outbound

This paper cites Tyrrell Rockafellar and Roger J.-B.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Tyrrell Rockafellar and Roger J.-B

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:21.011444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.894848Z digest=sha256:733f279f6b086657590c2bf5f3f0b290d23837266854d31e6c87222cbfe7bdec

Observation b7871dc6-dbbf-4444-bc1e-41a8f8fb4532 · outbound

This paper cites Gr¨ obner bases and Stanley decompositions of determinantal rings.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Gr¨ obner bases and Stanley decompositions of determinantal rings

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.931171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:18.953024Z digest=sha256:6dd36ddf2774889f5bf9c6e20581365a0a9f25a56a38932c04c3c7024a84553c

Observation ee8ca467-6828-4b29-b511-5ffd79d813d9 · outbound

This paper cites Radial continuous valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Radial continuous valuations on star bodies

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.799218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:19.012654Z digest=sha256:7ffb3682d7b1be24fb1b2464a4b277c0f5742fbcc1b52f98e59b57dc1731a8de

Observation e7e546a3-15cc-4dca-a573-e09ba6de6c72 · outbound

This paper cites Continuity and representation of valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Continuity and representation of valuations on star bodies

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.700961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:19.047636Z digest=sha256:a63dc9598eb5970a7e56fb7b1556facecd023e7ec7d9cda91ba51344660f2e89

Observation 21a5ac39-b0d0-4f06-9b99-71a2bc2eb7ab · outbound

This paper cites Valuations on Banach lattices.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Valuations on Banach lattices

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.598237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:19.099416Z digest=sha256:7f559d93b8a3aa2b15659e92bf39707bf81a326e9b9269c122c4cc7928b25ff4

Observation 10422748-11d0-4470-9871-d117d6fdfdf9 · outbound

This paper cites Radial continuous rotation invariant valuations on star bodies.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions Radial continuous rotation invariant valuations on star bodies

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.507708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:19.135606Z digest=sha256:f468f585606e3706e69993b455c33fe9b86ba0a07859ad9dcf5004c986029662

Observation 41de71d2-6302-4d83-b35b-28bfea933684 · outbound

This paper cites The module of unitarily invariant area measures.

A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions The module of unitarily invariant area measures

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:27:20.383058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T13:27:19.178458Z digest=sha256:6b3cad56a12e140741f19578be17343872a725f2b24bd1415c4fa838f860aefb

Pith citing papers

Observation 80ceed71-f5b2-4897-893d-e613117b7c3a · inbound

Integral representation of polynomial local functionals on convex functions cites this paper.

Integral representation of polynomial local functionals on convex functions A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-11T23:16:31.630383Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-07T17:40:52.967294Z digest=sha256:7dc28209c0684214d8eb2cce6625adbf1a5930e53c7c06991e07502bea25a34d

Observation f4e5cc13-eb89-4c6a-994c-4a43a43fc138 · inbound

Translation invariant area measures on convex bodies cites this paper.

Translation invariant area measures on convex bodies A Paley-Wiener-Schwartz Theorem for smooth valuations on convex functions

Reference 26

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:12:37.695544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-28T20:08:39.810407Z digest=sha256:e7198e2d1cdf87a3622bc72175981373ae278a5d1c8abe752f3801bfa80a02f9