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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.820183Z digest=sha256:c295fa6cdf928f5ce50987dd185870fc384ac68764f571b6080e06688c924530

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.824340Z digest=sha256:569477e92bc5dec404bdd1efe3d29349ad76bf7fefa8577e500c7fbd116f3b11

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.828295Z digest=sha256:f6f9918d61d08c3f944292aae3ec3f584db743975adba3ec286461c1de6eabe5

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.832439Z digest=sha256:080667375acda8d4b6b5863775d80230fe669d62ed738cfbdecbe8e011d79bcc

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.836511Z digest=sha256:0eb3980aac3812dca9fa5a2470ea790cfc67d6c1b0bd23b89ac2e6189f732d32

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.840678Z digest=sha256:c1f9110f7de5197e5337b28d0b4bb6585aa3aa431b7694ef3827225dfbfbfe5a

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.845681Z digest=sha256:563069af7c4ac9639db8174678512043690a1ecafa793c0888994a7cd79f78fe

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:35:23.849675Z digest=sha256:96c692b6f1eef6e8e2b3bbcd0b2a851b1a3bdea428a15bcae04e2ee683270596

Pith citing papers

No inbound Pith citation observations are available.