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Paper Citation Record · LEDGER

Dirac eigenvalues and the hyperspherical radius

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2407.21704.

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

pith.paper-citation-record.v1
2407.21704 v2

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 2026-08-11T06:34:44.6726+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:42:52.964059Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, 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

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 11f7e115-649b-45bd-91d0-bae47d4f8fe8 · inbound

Extremal metrics involving scalar curvature cites this paper.

Extremal metrics involving scalar curvature Dirac eigenvalues and the hyperspherical radius

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-22T21:22:08.682293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-22T21:20:57.365980Z digest=sha256:fa7b4bcc65683eca4700b39fd4d23f687afa924046402223f987358571adb195

Observation 854cd678-5e14-4d15-8cdd-b65538d34f2e · inbound

Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds cites this paper.

Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds Dirac eigenvalues and the hyperspherical radius

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T15:42:52.964059Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:42:52.964059Z digest=sha256:b2bee20e2cf254867919516d3179b4ae4538c72cf5d89dbb159c8d7518782bed

Observation 0d19f084-7312-4092-8797-d7af4b234897 · inbound

The degree condition in Llarull's theorem on scalar curvature rigidity cites this paper.

The degree condition in Llarull's theorem on scalar curvature rigidity Dirac eigenvalues and the hyperspherical radius

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:27:05.342873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-19T05:26:23.298552Z digest=sha256:271cbb33c2b4dd73141d66522d2f2f7a789d51fd886cba25ec7117eaa32e5913