Paper Citation Record · LEDGER

Eigenvalues of the Laplacian with density

As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.05051.

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

pith.paper-citation-record.v1
1908.05051 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:35:23.849675Z

measured 8 of 8 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 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 exact0
verified fuzzy8
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16cfa3d3-6c41-41cc-8ced-42c7308a72f7 · outbound

This paper cites Extremal eigenvalues of the L aplacian in a conformal class of metrics: The `conformal spectrum'.

Eigenvalues of the Laplacian with density Extremal eigenvalues of the L aplacian in a conformal class of metrics: The `conformal spectrum'

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.970880Z

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.

Observation 2993b05b-5543-4eb5-b7c3-11f3a8b63ef8 · outbound

This paper cites Spectrum of the L aplacian with weights.

Eigenvalues of the Laplacian with density Spectrum of the L aplacian with weights

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.959302Z

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.

Observation 213c0105-3f84-46dd-8b58-be73259e5e3c · outbound

This paper cites Eigenvalues of the L aplacian on a compact manifold with density.

Eigenvalues of the Laplacian with density Eigenvalues of the L aplacian on a compact manifold with density

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.947041Z

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.

Observation 42d294bb-4c12-48e0-9c65-1c7aef892c2a · outbound

This paper cites Eigenvalues estimate for the Neumann problem of a bounded domain.

Eigenvalues of the Laplacian with density Eigenvalues estimate for the Neumann problem of a bounded domain

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.935418Z

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.

Observation 6929c453-eb95-4754-8e5d-4b6d0993d037 · outbound

This paper cites Eigenvalues of elliptic operators and geometric applications.

Eigenvalues of the Laplacian with density Eigenvalues of elliptic operators and geometric applications

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.923504Z

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.

Observation 4e5e1611-4168-451d-88cd-46ac769ca073 · outbound

This paper cites Conformal upper bounds for the eigenvalues of the L aplacian and S teklov problem.

Eigenvalues of the Laplacian with density Conformal upper bounds for the eigenvalues of the L aplacian and S teklov problem

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.911347Z

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.

Observation 83863f14-8ce1-482a-a449-da09f10e2453 · outbound

This paper cites Upper bounds for eigenvalues of conformal metrics.

Eigenvalues of the Laplacian with density Upper bounds for eigenvalues of conformal metrics

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.898234Z

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.

Observation 9ff7576f-1885-48c1-9073-94d588b36de6 · outbound

This paper cites The comparison geometry of R icci curvature.

Eigenvalues of the Laplacian with density The comparison geometry of R icci curvature

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T13:35:23.885692Z

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.

Pith citing papers

No inbound Pith citation observations are available.