Paper Citation Record · LEDGER

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

As of 20 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 1 inbound Pith citation observation for arXiv:2602.05968.

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

pith.paper-citation-record.v1
2602.05968 v4

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T04:16:03.313942Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:01:18.042239Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T11:01:18.080110Z

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy0
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3af0b648-29e4-4c18-aa6f-3161dc2bf0a0 · outbound

This paper cites $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps $L^{p}$-Caffarelli-Kohn-Nirenberg inequalities and their stabilities

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.250940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a60216a-758f-47c0-adc4-175bb09ba4ce · outbound

This paper cites Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Sharp stability of the Brunn-Minkowski inequality via optimal mass transportation

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.593955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16f52ad2-7918-4c1f-af6c-86c7d2146f75 · outbound

This paper cites Sharp quantitative stability of the planar Brunn-Minkowski inequality.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Sharp quantitative stability of the planar Brunn-Minkowski inequality

Reference 1983

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:03.313942Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b440e6fe-ca77-47bb-b120-f2d89ae7d209 · outbound

This paper cites Shaimerdenov, N.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Shaimerdenov, N

Reference 1985

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:03.202745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e626e0f6-987d-4985-a762-d460af58db54 · outbound

This paper cites The geometric size of the fundamental gap.

Reference 1989

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:01.656387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78e51670-567c-4ee0-a211-efa2da524f6f · outbound

This paper cites Colesanti, L.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Colesanti, L

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.168113Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b8fa54e-4761-4562-9759-40c39e3b7a14 · outbound

This paper cites Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields

Reference 1998

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:01.729436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03923828-b8d0-4368-8acf-f63a1d548bea · outbound

This paper cites an unresolved cited work.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Unresolved cited work

Reference 2000

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:01.974569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32511f10-6944-4bc7-9768-3eff2a83372e · outbound

This paper cites an unresolved cited work.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Unresolved cited work

Reference 2003

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.680172Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 411009b4-a861-4375-8655-b61208e17ac4 · outbound

This paper cites an unresolved cited work.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Unresolved cited work

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.939086Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d16f415d-1108-4327-9977-4b875fa318cd · outbound

This paper cites Machihara, T.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Machihara, T

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:03.089143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7295f738-2146-4719-be1f-3c8a8a4544e7 · outbound

This paper cites Sharp quantitative stability of the Brunn-Minkowski inequality.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Sharp quantitative stability of the Brunn-Minkowski inequality

Reference 2015

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.556829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1eb176f6-c727-41cf-a8f4-9f87afaede01 · outbound

This paper cites On Rayleigh quotients connected to $p$-Laplace equations with polynomial nonlinearities.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps On Rayleigh quotients connected to $p$-Laplace equations with polynomial nonlinearities

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.031187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a754df7c-d604-4ca1-aed9-5e89ac769c90 · outbound

This paper cites Huang and D.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Huang and D

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.822493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbf82f90-c2b4-4fed-ab5d-3cba26f92235 · outbound

This paper cites Dolbeault and G.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Dolbeault and G

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.490422Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08aa9fcd-634e-4694-ad93-4fe76399a076 · outbound

This paper cites Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:02.360897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b59a28e3-39fb-4d0a-ba25-588e995cc3ff · outbound

This paper cites Banerjee, D.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Banerjee, D

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-03T04:16:01.871409Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7f8a3f39-0052-43d4-908c-f5ef689ac073 · inbound

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy cites this paper.

Fundamental Gaps for the Dirichlet $p$-Laplacian with Convex Potentials: Sharp One-Dimensional Bounds and a Higher-Dimensional Dichotomy Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps

Reference 65

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:01:18.087058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.