Pith. sign in

Paper Citation Record · LEDGER

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

As of 15 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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:15.251955Z digest=sha256:4228b1be14e57d63982c4b18891b325d12034ef6ac4ac91c825b9d4a5810098e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:15.368690Z digest=sha256:f7f80370fc21690d7b90924da9fc8f636a3cf78269d98a85125c6540fae3f408

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:15.527330Z digest=sha256:05e4ee1bb8351ff5fbe2c86a3d0f7f6617189d0890326e375037a202d9ed2c34

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:15.680152Z digest=sha256:41aa15494a58ac23460294d4bbaf9a25d8eba7c92cc273c23cb926a4eb42054c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:15.797368Z digest=sha256:c0f8fffca599d8bdcd8951dd90691d7a4d585cc8312220d8c7e5c97597cc7cd0

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.

source=pdf_text observed=2026-08-06T21:19:15.991410Z digest=sha256:7016819bea6e7a542f2941b05c63d1dcc43682a0074d15a63d8186fe82ab57cb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.199643Z digest=sha256:001a372d4d916fdf1c76cc6079b30b91c21c975b49e54f909b2b7a5526fbce26

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.340275Z digest=sha256:a029821097963ee4dc8c17e1df44c9bb7ab371ae0c77e682241730fbb4b1ae31

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.483141Z digest=sha256:0e8f6da1895380b9330c869500996c082ef9a2ae2d6c1e9e53e7d641ccfa46e7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.594978Z digest=sha256:be3c9c6ca8ef8e4cfe1614c07a63a7f70827cdb64789a58f04c1744b3b173fea

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.709155Z digest=sha256:338422a5a2d186f92d3a22f7abf6de04fe14acb9c7320410d76725ce18bdd8ac

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.841000Z digest=sha256:5461f8bc0afc0e14760be40b1d2ad269c6dc10127348a526d8c6e569e7a427da

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:16.969182Z digest=sha256:fe9a61be1bd180c3176eef88873f10d260fd7e367ab561f5d0de928d7b72cb38

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.092633Z digest=sha256:bd30d4f46c911531f8f72cf960bdbe5560423de75bf1b3e27b417a33f8cc9364

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.243439Z digest=sha256:94150f0b88e02ac16ddff261237994c9854995a33d87e9d4d2114febfd2ef4cd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.364148Z digest=sha256:6e59c786b288dc15b4b6a53faf2f03a6faf4e19aebf55abeacc200c00c16fe49

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.513144Z digest=sha256:8d04b1d6a1ce4b4ae6f1be139e5e8ed39547eb7e6fd325143ac7f8222adcc1eb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.632226Z digest=sha256:489d95994c179db6354e4915faf596b0517511425b8e152ca4bad0016a549990

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.749128Z digest=sha256:937d5caaf08158383361e7b8e16eb8e4e2330f1878b863d303c0f2492c1f38f1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-06T21:19:17.863203Z digest=sha256:086fc2a7cd201b32e382b1d14a028e8b1b2081761db9d92a91630eb0d14b60e3

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-15T02:00:30.037525Z digest=sha256:9a7040e100424e4aa05b1a7eaba25e660b6eac4c9895166286f3029c87d5284a