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Paper Citation Record · LEDGER

Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature

As of 21 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:2109.07534.

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

pith.paper-citation-record.v1
2109.07534 v1

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 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T04:51:37.092555Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

1
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 233bc8bb-3323-45fe-b593-3f953676aff7 · inbound

Eigenvalues on spheres cites this paper.

Eigenvalues on spheres Harmonic functions with polynomial growth on manifolds with nonnegative Ricci curvature

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-07-14T05:00:16.070148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-07-14T04:51:37.092555Z digest=sha256:fb7f6233e8493fe6a7a14751e254867be1d7e46273a72e32ad5bc305faee526e