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Paper Citation Record · LEDGER

Gradient estimates for scalar curvature

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2501.17947.

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

pith.paper-citation-record.v1
2501.17947 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T03:42:57.080398Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:52:37.837065Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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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 e1310204-6020-4ca4-807e-e87476d8e09e · inbound

Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions cites this paper.

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 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-10T17:25:29.245102Z digest=sha256:f8a0f20df0c45e5d88935885f280e29b888372e884dd3aea665ed0e2b877aff3

Observation 1cceffe7-658f-4ca0-9986-5010114a2a89 · inbound

Nonnegative Ricci Curvature and Uniformly Convex Boundary Forces Compactness cites this paper.

Nonnegative Ricci Curvature and Uniformly Convex Boundary Forces Compactness Gradient estimates for scalar curvature

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-06-28T20:52:37.838519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T20:47:10.985233Z digest=sha256:5b2479597ae6df846083ae2a27430c8df02bb7cb38ab8cff738fffc127b9cea9

Observation 3c4047f2-e885-41d3-b558-2ee81289755e · 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 Gradient estimates for scalar curvature

Reference 6

Resolution
unresolved
no resolver link, observed 2026-07-31T03:42:57.080398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T03:42:57.080398Z digest=sha256:4b484e3fa5acf50631ac3421a3f15f869341ceb93eb2405bba4c7f1451edec48