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Paper Citation Record · LEDGER

The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2412.12819.

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

pith.paper-citation-record.v1
2412.12819 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 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T07:21:36.467293Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T06:44:40.206164Z

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 c0a07fcd-3d27-468d-b536-ee81234734bc · inbound

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes cites this paper.

Quantitative Lorentzian isoperimetric inequalities in conical Minkowski spacetimes The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-04T07:21:36.467293Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-04T07:21:36.467293Z digest=sha256:d5d96a013d568fe4de810a10d3f1798f70640a95512c2470b1e2701c717a7f49

Observation 64aecc40-c38f-47b1-af12-56b9f8ee0aa0 · inbound

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ cites this paper.

Stability for the Affine Sobolev Inequality and its Critical Points for $p\ge 2$ The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-07-08T06:44:40.208078Z

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=2026-07-08T06:36:05.158812Z digest=sha256:f8f6be6125fcf2e486b14c9dcf29e0182cfb0f0331d6425bfdfd91b56404ab2a