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Paper Citation Record · LEDGER

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2607.04418.

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

pith.paper-citation-record.v1
2607.04418 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T19:19:37.747927Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

10 of 10 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f971d188-dcaf-4908-9640-01138f1a390e · outbound

This paper cites Borthwick , Spectral theory-basic concepts and applications, Grad.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Borthwick , Spectral theory-basic concepts and applications, Grad

Reference 1

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:2273bfc259a21c7db2045f09273aa4c8af47ee2bd82b7e9c479dc1e3fc418729

Observation ffad3a2c-14b6-4a4d-9186-c45ce1d6890e · outbound

This paper cites Bucur, I.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Bucur, I

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:f8d77d094b12bcc3e9f777c6b583605ad222651ece522f8b2284618452d05622

Observation 9becb3b2-797c-4eaa-96c2-0540d5c53e3b · outbound

This paper cites an unresolved cited work.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:2dbd97ea5c860cdce91bbed22b9ab1f4e4eb6a6ef21ded5ad396e2a451d946a8

Observation a80a09cc-9c3d-4a5a-9c58-083d041cdf0d · outbound

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

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Colesanti , Brunn- M inkowski inequalities for variational functionals and related problems, Adv

Reference 4

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:bdc22fa9ace3cb961c47960bd26ec48fbe74811e1bc60f28169bea2e5c9a667e

Observation cdc362ad-e8bc-4499-850d-c8d5bfc986b1 · outbound

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

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue The Brunn-Minkowski inequality for the first eigenvalue of the Ornstein-Uhlenbeck operator and log-concavity of the relevant eigenfunction

Reference 5

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:94d7f0b426bfdb918435fb78381be704e2db63d2ffa583683a9f0a62bbc3f86a

Observation 42e33c48-fd04-4665-8819-322c48387178 · outbound

This paper cites Colesanti, L.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Colesanti, L

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:d5e706515b9b20f29f2f1252e14ab57e6a4f90f85b50deea9800e694a5efb650

Observation ee05900a-0be5-4201-b383-aceb8b5e08b3 · outbound

This paper cites Crasta & I.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Crasta & I

Reference 7

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:5fc83f56f083fb39f31eb75295792b25f75454a7754217b0d8a5643e192dd1dc

Observation 1c9c5cf3-b269-4c85-8d86-2de0051726d7 · outbound

This paper cites an unresolved cited work.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:deaa3fcb00288505ae6e4feda9415eeb8470b530f974cf3693a032eadf4b4242

Observation fffd383f-412b-44ed-9911-205b3fcc098e · outbound

This paper cites Henrot , Extremum problems for eigenvalues of elliptic operators, Front.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Henrot , Extremum problems for eigenvalues of elliptic operators, Front

Reference 9

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:59c7666cd75f8d55cc1e06ad1dcf1e392310f17acd24904fb4dcfc6f5852e2fc

Observation ee00b072-debe-4253-a513-35dc13fdb754 · outbound

This paper cites Salani , A B runn- M inkowski inequality for the M onge- A mp\`ere eigenvalue, Adv.

Impossibility of a nontrivial Brunn--Minkowski inequality for higher Dirichlet eigenvalue Salani , A B runn- M inkowski inequality for the M onge- A mp\`ere eigenvalue, Adv

Reference 10

Resolution
unresolved
no resolver link, observed 2026-07-11T19:19:37.747927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-11T19:19:37.747927Z digest=sha256:9d7022cc8effdc4240066b84d34e41dda5fa109b01f26965e9508c43cc573c85

Pith citing papers

No inbound Pith citation observations are available.