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Paper Citation Record · LEDGER

Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2404.19039.

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

pith.paper-citation-record.v1
2404.19039 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:31:34.451250Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-12T04:23:03.333146Z

Reference resolution

0 of 0 outbound references displayed

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

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 ef0451f3-757a-4c2a-be00-241cf4806a82 · inbound

Minimal Submanifolds and Waists of Locally Symmetric Spaces cites this paper.

Minimal Submanifolds and Waists of Locally Symmetric Spaces Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-12T04:23:03.337187Z

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=pdf_text observed=2026-08-12T04:23:02.815509Z digest=sha256:86f0b59ae05ecc11e083d0a225583bf6c1d47cabf69e28cbf6e8697f3aaa35f2

Observation 2ed2a227-6bb3-4f7c-a60e-63243a92013c · inbound

A Spectral Gap for Spinors on Hyperbolic Surfaces cites this paper.

A Spectral Gap for Spinors on Hyperbolic Surfaces Hyperbolic 3-manifolds with uniform spectral gap for coclosed 1-forms

Reference 2024

Resolution
malformed identifier
no resolver link, observed 2026-08-15T19:31:34.451250Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:31:34.451250Z digest=sha256:19fcf1f44cdf1c28e8ed67673f559f7dbea7b87cbbe850627846dd74113984e2