Paper Citation Record · LEDGER

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2607.28328.

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

pith.paper-citation-record.v1
2607.28328 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T11:11:11.632513Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:40:27.190976Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T04:40:27.289381Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3d0fe80b-ca7b-421e-b6e4-2f25bd14150e · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.263035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 321a9fbd-7307-489c-afbe-4469afdeb264 · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.325260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 379593dc-6123-47e5-b81f-7efc2ad89066 · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.390538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 017f6b51-cf91-4db4-882e-b1536c9fc04f · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.466500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f120e1f9-71ce-4228-8d51-1d576c07a04a · outbound

This paper cites Beck and D.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Beck and D

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.570993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecaecff3-f431-4848-821f-5c2d6a32785b · outbound

This paper cites Brandolini, F.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Brandolini, F

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.674998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9c61789-cbb3-45d1-b3b8-70f3292d0485 · outbound

This paper cites Brock, F.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Brock, F

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.779182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba446c28-e7f7-406c-835f-cae126b687c7 · outbound

This paper cites Bucur, R.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Bucur, R

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:09.890092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f95d290-4fa9-477e-a0cf-d8ce14922640 · outbound

This paper cites Chiacchio and G.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Chiacchio and G

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.001858Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31f16f16-1b18-43d5-b9a7-ec3e78a8d59e · outbound

This paper cites Chiacchio and N.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Chiacchio and N

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.087336Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d42a3413-6f1e-459f-ae2d-0a69a168567a · outbound

This paper cites Gao and K.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Gao and K

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.165178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 207c355a-41f4-490b-9dd2-540b962bc26c · outbound

This paper cites A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.234527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a81c9d8c-a2de-4e1e-ae4d-ea9a666a4bc5 · outbound

This paper cites Henrot,Extremum Problems for Eigenvalues of Elliptic Operators, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2006.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Henrot,Extremum Problems for Eigenvalues of Elliptic Operators, Frontiers in Mathematics, Birkhäuser Verlag, Basel, 2006

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.299177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4079393c-a537-4ca8-9f2a-19a005afee8e · outbound

This paper cites Henrot (ed.),Shape Optimization and Spectral Theory, De Gruyter Open, Warsaw–Berlin, 2017.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Henrot (ed.),Shape Optimization and Spectral Theory, De Gruyter Open, Warsaw–Berlin, 2017

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.488368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd9b9da9-82a7-4d8f-b739-d8e3533caefc · outbound

This paper cites Hersch, Caractérisation variationnelle d’une somme de valeurs propres con- sécutives; généralisation d’inégalités de Pólya–Schiffer et de Weyl,C.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Hersch, Caractérisation variationnelle d’une somme de valeurs propres con- sécutives; généralisation d’inégalités de Pólya–Schiffer et de Weyl,C

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.656606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1b4715c6-15a8-48f2-b10a-ef03bdb3e761 · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.846586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a98b7192-6ef3-4038-b48a-a1098c00bbab · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:10.990513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f16a721e-6150-4302-b3bc-db61a7ef5d80 · outbound

This paper cites Szegő, Inequalities for certain eigenvalues of a membrane of given area,J.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Szegő, Inequalities for certain eigenvalues of a membrane of given area,J

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:11.124309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17bdfa2f-83f1-4209-a67d-6835294706b2 · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:11.229290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbb95db8-c518-4be8-860b-52b3a3064159 · outbound

This paper cites an unresolved cited work.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:11.320728Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ecb4897-40fa-40bb-bec0-80fc7ac9e836 · outbound

This paper cites Xia and Q.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Xia and Q

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:11.425644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea5e5b0d-3488-409c-8666-fd804063bd6b · outbound

This paper cites Reciprocal sums of Neumann eigenvalues in non-Euclidean space forms.

A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator Reciprocal sums of Neumann eigenvalues in non-Euclidean space forms

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-31T11:11:11.632513Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8b4aeae0-e89a-42ef-bc7b-4fde63973897 · inbound

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures cites this paper.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T04:40:27.293149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.