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Paper Citation Record · LEDGER

Four-dimensional shrinkers with nonnegative Ricci curvature

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2505.02315.

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

pith.paper-citation-record.v1
2505.02315 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 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T19:40:21.874309Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:09:18.707619Z

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 23b47a5f-7b67-47e4-b6dc-6f2ad6d80ff7 · inbound

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature cites this paper.

Rigidity of Five-dimensional Shrinking Gradient Ricci Solitons with Constant Scalar Curvature Four-dimensional shrinkers with nonnegative Ricci curvature

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-12T19:40:21.874309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T19:40:21.874309Z digest=sha256:3ae3281e7b21bf4fbabbce3513bbecf8943a0a4a102889c26368aa01e460805f

Observation 375151e6-de47-4283-b2a8-fc26abfc1238 · inbound

Rigidity of Five-Dimensional shrinking gradient Ricci solitons cites this paper.

Rigidity of Five-Dimensional shrinking gradient Ricci solitons Four-dimensional shrinkers with nonnegative Ricci curvature

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:09:18.755398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-07T12:09:18.307538Z digest=sha256:9ec6f676c9405144055345ed1ba24b323557b08da59ad3e4a44d37ac0edd78b3