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Paper Citation Record · LEDGER

Asymptotic behavior of $L^2$-normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:math/0509061.

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

pith.paper-citation-record.v1
math/0509061 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T08:34:10.673747Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-23T08:35:29.686792Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 aeef6884-289e-4de9-9875-9b70c330a5a4 · inbound

How well behaved is finite dimensional Diffusion Maps? cites this paper.

How well behaved is finite dimensional Diffusion Maps? Asymptotic behavior of $L^2$-normalized eigenfunctions of the Laplace-Beltrami operator on a closed Riemannian manifold

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-05-23T08:35:29.688861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-05-23T08:34:10.673747Z digest=sha256:9a05018e656d5fe0bb3042d57f4fb75e557a7efa83d45e1767f1c36c5dcf7ac6