Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2403.08070.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-11T16:49:00.826488Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T22:37:26.057530Z
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 61b9a315-3f3b-4ce9-880e-278b45f94979 · inbound
A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues cites this paper.
A proof of the Ashbaugh--Benguria conjecture for reciprocal sums of Neumann eigenvalues On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T22:37:26.058863Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7b09140c-a3b8-4895-8a5d-d734aa1fef1a · inbound
The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues cites this paper.
The Ashbaugh--Benguria reciprocal-gap conjecture for Dirichlet eigenvalues On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-07-02T09:06:48.556228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 42617de9-fc77-40b7-9761-bbfd9e48ee34 · inbound
Eigenvalue comparison theorems for the Witten-Laplacian and the weighted $p$-Laplacian on complete manifolds with a modified Ricci curvature bounded from below cites this paper.
Eigenvalue comparison theorems for the Witten-Laplacian and the weighted $p$-Laplacian on complete manifolds with a modified Ricci curvature bounded from below On the Ashbaugh-Benguria type conjecture about lower-order Neumann eigenvalues of the Witten-Laplacian
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T16:49:00.826488Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.