Paper Citation Record · LEDGER

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues

As of 9 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2506.07340.

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

pith.paper-citation-record.v1
2506.07340 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:43:44.426373Z

measured 8 of 8 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

8 of 8 outbound references displayed

verified exact1
verified fuzzy4
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 755b2a27-9ea2-4a2f-968b-4dd7e7393660 · outbound

This paper cites Davis, W.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Davis, W

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:43:46.870568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e9091f53-57cf-40ac-9add-d3b9ff6012de · outbound

This paper cites Parlett, The Symmetric Eigenvalue Problem, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, 1998.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Parlett, The Symmetric Eigenvalue Problem, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, 1998

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:43:46.604884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72aa0230-aec3-4fb3-8c5e-68ab55d4ab78 · outbound

This paper cites an unresolved cited work.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:43:46.339930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 53b173e5-a178-4ee6-b954-37ff1de5c92e · outbound

This paper cites Takeshi, K.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Takeshi, K

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:43:45.997076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7020c465-6128-4735-935a-79d5131c22fa · outbound

This paper cites an unresolved cited work.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:43:45.642639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 11830db0-2fab-4e7e-a96a-c6aaabaed53e · outbound

This paper cites The Second Dirichlet Eigenvalue is Simple on Every Non-equilateral Triangle, Part II: Nearly Equilateral Triangles.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues The Second Dirichlet Eigenvalue is Simple on Every Non-equilateral Triangle, Part II: Nearly Equilateral Triangles

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T05:43:44.802993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0017cc9a-d644-4958-b295-2194068bb386 · outbound

This paper cites an unresolved cited work.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:43:45.402704Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 88645587-6125-44d0-a2ff-7e23f9817896 · outbound

This paper cites Liu, Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems, SpringerBriefs in Mathematics, Springer Nature Singapore, 2024.

Stable Computation of Laplacian Eigenfunctions Corresponding to Clustered Eigenvalues Liu, Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems, SpringerBriefs in Mathematics, Springer Nature Singapore, 2024

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:43:45.089408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.