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Paper Citation Record · LEDGER

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures

As of 22 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.08748.

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

pith.paper-citation-record.v1
2608.08748 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:40:27.235507Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation e2b83853-afc6-49c9-b70f-c4744dd38938 · outbound

This paper cites an unresolved cited work.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Unresolved cited work

Reference 1

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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.

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Observation a03d658f-850f-406a-ba0d-d8e286fa9832 · outbound

This paper cites Ashbaugh.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Ashbaugh

Reference 2

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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.

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Observation 8987b83e-d1e4-4c97-bbd2-b6ff27163c57 · outbound

This paper cites Ashbaugh and Rafael D.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Ashbaugh and Rafael D

Reference 3

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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.

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Observation cf0aefe1-d5d7-4604-af78-2ef1faa2cc7e · outbound

This paper cites Ashbaugh and Rafael D.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Ashbaugh and Rafael D

Reference 4

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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.

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Observation 574ce4c8-9a8e-401f-afe0-43a9dc4ec2bc · outbound

This paper cites Benguria, Barbara Brandolini, and Francesco Chiacchio.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Benguria, Barbara Brandolini, and Francesco Chiacchio

Reference 5

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raw_fallback, observed 2026-08-14T04:40:27.450915Z

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.

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Observation f5313e63-dd91-43d4-b279-313607487de4 · outbound

This paper cites Optimal Szeg¨ o-Weinberger type inequalities.Commun.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Optimal Szeg¨ o-Weinberger type inequalities.Commun

Reference 6

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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.

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Observation ce73168b-7274-48f8-b286-b3a4be771007 · outbound

This paper cites On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian

Reference 7

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no resolver link, observed 2026-08-14T04:40:27.183701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T04:40:27.183701Z digest=sha256:2195fd1c7dfefab746ed00699bdfb1f75bf316a29d7779e94afbaff05d4b27d5

Observation 49967375-c74e-4f1e-8a76-11813061b1a9 · outbound

This paper cites Chiacchio and G.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Chiacchio and G

Reference 8

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verified fuzzy
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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.

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

This paper cites A sharp Gaussian harmonic-mean inequality for Neumann eigenvalues of the Ornstein-Uhlenbeck operator.

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

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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 2026-08-22T06:32:14.747728+00:00.

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Observation 0c47b71d-8627-415e-ba39-ab7802334fcd · outbound

This paper cites The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions.Math.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures The Faber-Krahn inequality for the Hermite operator with Robin boundary conditions.Math

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation be3b3e84-4d63-4a2d-9b05-0bd99d1d9595 · outbound

This paper cites An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures An isoperimetric inequality for lower order Neumann eigenvalues in Gauss space

Reference 11

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verified fuzzy
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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.

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Observation 5a00c3f0-b17a-4ae1-ab13-885e9d97785d · outbound

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

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues

Reference 12

Resolution
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no resolver link, observed 2026-08-14T04:40:27.201123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 9ee88b4e-fa44-471b-91bf-864d609deef7 · outbound

This paper cites Caract´ erisation variationnelle d’une somme de valeurs propres cons´ ecutives; g´ en´ eralisation d’in´ egalit´ es de P´ olya-Schiffer et de Weyl.C.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Caract´ erisation variationnelle d’une somme de valeurs propres cons´ ecutives; g´ en´ eralisation d’in´ egalit´ es de P´ olya-Schiffer et de Weyl.C

Reference 13

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

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Observation 6903c40c-6b2a-465a-99d4-c6b640367e82 · outbound

This paper cites an unresolved cited work.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Unresolved cited work

Reference 14

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

source=pdf_text observed=2026-08-14T04:40:27.208857Z digest=sha256:36ccee45722cb7a672ae7207878db0849473439045b725f4ce7cb7dae3fdc681

Observation d9c091f7-10b7-4eaa-870c-a3385b84cf17 · outbound

This paper cites Langford and Richard S.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Langford and Richard S

Reference 15

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

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Observation f46572bc-7fdd-42df-a047-487dfb957a4b · outbound

This paper cites Lieb and Michael Loss.Analysis, volume 14 ofGraduate Studies in Mathematics.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Lieb and Michael Loss.Analysis, volume 14 ofGraduate Studies in Mathematics

Reference 16

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

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Observation 29fcbef4-5da1-4389-85ea-165aa83a1bdf · outbound

This paper cites Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces.Calc.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Isoperimetric inequalities for Neumann eigenvalues on bounded domains in rank-1 symmetric spaces.Calc

Reference 17

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

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Observation 61c2dd1f-4ba4-48f1-b6cc-09678290e7c6 · outbound

This paper cites an unresolved cited work.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Unresolved cited work

Reference 18

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 5e5aa397-d656-4241-a585-75ca87921cd3 · outbound

This paper cites An upper bound for the second Neumann eigenvalue on Riemannian manifolds.Geom.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures An upper bound for the second Neumann eigenvalue on Riemannian manifolds.Geom

Reference 19

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

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Observation b9128b14-5e79-4196-be19-4cc625dbdfa5 · outbound

This paper cites an unresolved cited work.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Unresolved cited work

Reference 20

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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.

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Observation 7c3af828-154b-4180-ac95-f6b397862d24 · outbound

This paper cites On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann laplacian.Math.

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures On a conjecture of Ashbaugh and Benguria about lower eigenvalues of the Neumann laplacian.Math

Reference 21

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

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Observation 04e59ca8-467d-4260-9f0a-09d6e6fddb91 · outbound

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

An isoperimetric inequality for Neumann eigenvalues with radial log-concave measures Reciprocal sums of Neumann eigenvalues in non-Euclidean space forms

Reference 22

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local_arxiv, observed 2026-08-14T04:40:27.269333Z

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

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