Paper Citation Record · LEDGER

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies

As of 21 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.00819.

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

pith.paper-citation-record.v1
2507.00819 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:19:17.863203Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-15T02:00:30.037525Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T02:03:29.194541Z

Reference resolution

20 of 20 outbound references displayed

verified exact2
verified fuzzy10
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ae6b6af8-c40f-4ecf-9495-81eab4f9b9be · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:22.699807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6a08509f-fd65-4c95-91dd-cf92995bc567 · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:22.440584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 706f4ffa-46c7-4b18-a446-8942b7227762 · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:22.218598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2c6ad924-07ff-46b4-b49e-b691d5303cfb · outbound

This paper cites Carbotti, S.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Carbotti, S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:21.961698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb6de269-3208-4e23-911a-6c080c79fc87 · outbound

This paper cites Colesanti, Brunn-Minkowski inequalities for variational functionals and related problems, Adv.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Colesanti, Brunn-Minkowski inequalities for variational functionals and related problems, Adv

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:21.676471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation aa7441cc-6b1d-40a6-8f2c-941ef76cfb78 · outbound

This paper cites The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T21:19:15.991410Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8108cc4-3868-498c-afe7-9f77d7fbaccb · outbound

This paper cites Colesanti, L.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Colesanti, L

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-06T21:19:18.407658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c6491810-081e-48ac-b7f9-6c1ba9496b0f · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:21.410169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e8cbabbd-933d-4863-a55b-e39baa8550d1 · outbound

This paper cites Franceschi, A.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Franceschi, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:21.145743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4a69981f-6aa1-43eb-99d1-605f83195df4 · outbound

This paper cites Kilpel ¨ainen, Weighted Sobolev spaces and capacity, Ann.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Kilpel ¨ainen, Weighted Sobolev spaces and capacity, Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:20.885315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64b5c56a-0c24-42a6-a5a6-df25699e9ce8 · outbound

This paper cites Gilbarg and N.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Gilbarg and N

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:20.610759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d6d11c24-2594-4a77-bd96-5baf24609586 · outbound

This paper cites Herscovici and G.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Herscovici and G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:20.351802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05432d34-c6f9-44d8-ad07-5a9e64c4d5b8 · outbound

This paper cites Kawohl, Rearrangements and convexity of level sets in PDE , Lecture Notes in Mathematics, 1150, Springer, Berlin, 1985.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Kawohl, Rearrangements and convexity of level sets in PDE , Lecture Notes in Mathematics, 1150, Springer, Berlin, 1985

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:20.134855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 715fd41c-9a4f-4d95-91eb-51d926ecd962 · outbound

This paper cites Korevaar, J.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Korevaar, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:19.907367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation adb39b44-2e23-44c2-b39a-7579dd7e1da0 · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:19.660350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 087f3e33-f4e4-45ee-a013-bf382a76ea69 · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:19.382380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 94880e87-0188-4dce-9cfb-4bf4b876a5a4 · outbound

This paper cites an unresolved cited work.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:19:19.151972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 30b9fe1a-eb75-44e8-81e8-0b372d22a24b · outbound

This paper cites log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies log-concavity of eigenfunction and Brunn-Minkowski inequality of eigenvalue for weighted p-Laplace operator

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:19:18.101693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e03dd852-1c48-4d58-ba76-9c9e80460274 · outbound

This paper cites Salani, A Brunn-Minkowski inequality for the Monge-Amp`ere eigenvalue, Adv.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Salani, A Brunn-Minkowski inequality for the Monge-Amp`ere eigenvalue, Adv

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:18.902728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7b7bacb0-2572-4606-9383-aae793f453f0 · outbound

This paper cites Salani, Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in R3, Adv.

The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies Salani, Convexity of solutions and Brunn-Minkowski inequalities for Hessian equations in R3, Adv

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:19:18.690920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation b0791952-9c17-4ad8-be44-d99c749704f5 · inbound

The Mean-Field Limit of Online Stochastic Vector Balancing cites this paper.

The Mean-Field Limit of Online Stochastic Vector Balancing The strong log-concavity for first eigenfunction of the Ornstein-Uhlenbeck operator in the class of convex bodies

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:03:29.196924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.