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 8 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations 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 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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

No inbound Pith citation observations are available.