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Paper Citation Record · LEDGER

Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions

As of 9 August 2026, this Paper Citation Record lists 1 of 1 outbound references and 1 inbound Pith citation observation for arXiv:2604.08285.

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

pith.paper-citation-record.v1
2604.08285 v1

Coverage vector

measured 1 of 1 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T17:25:29.245102Z

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T03:42:57.165427Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

1 of 1 outbound references displayed

  • verified exact1
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e1310204-6020-4ca4-807e-e87476d8e09e · outbound

This paper cites Gradient estimates for scalar curvature.

Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions Gradient estimates for scalar curvature

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T06:51:24.041569Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-10T17:25:29.245102Z digest=sha256:6c1131b5181862fd4a3c42e790d87663a3dcb2db432cd8c130b4fb43b2097196

Pith citing papers

Observation 36192369-a83e-40ed-b805-5c35ee3d152d · inbound

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature cites this paper.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions

Reference 27

Resolution
unresolved
no resolver link, observed 2026-07-31T03:42:57.165427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T03:42:57.165427Z digest=sha256:eb898e6d316875a8dde3410d955e6c6f81b882992b2c918d68d63bf1554645fa