Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The geometric size of the fundamental gap
As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2407.01341.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:01:17.788869Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T11:36:01.091805Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation e626e0f6-987d-4985-a762-d460af58db54 · inbound
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 cites this paper.
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 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 383caac3-cead-4c96-9ed7-6fb67ebe2391 · inbound
Quantitative Kr\"{o}ger inequalities for Neumann eigenvalues of convex domains cites this paper.
Quantitative Kr\"{o}ger inequalities for Neumann eigenvalues of convex domains The geometric size of the fundamental gap
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T11:36:01.095304Z
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.
Observation 0168160b-f2e0-4883-8d4a-a02e489cfc56 · inbound
The Makai inequality in higher dimensions: qualitative and quantitative aspects cites this paper.
The Makai inequality in higher dimensions: qualitative and quantitative aspects The geometric size of the fundamental gap
Reference 1
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T12:25:22.779604Z
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.
Observation 3ad9fc2a-84ba-49d3-8a66-bf01b6325d3b · 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 The geometric size of the fundamental gap
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T11:01:17.788869Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.