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Paper Citation Record · LEDGER

Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2209.08651.

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

pith.paper-citation-record.v1
2209.08651 v5

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 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T20:22:44.559218Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T13:50:10.702051Z

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 bc6e1021-8d29-4980-8fdf-b39b22e9482f · inbound

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds cites this paper.

An overview of the stability of Sobolev inequalities on Riemannian manifolds with Ricci lower bounds Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-11T20:22:44.559218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T20:22:44.559218Z digest=sha256:5fb73d1e64158a047ecf6e66d99298bf78163ff595eb14f96407d90ea89c39fa

Observation f8fede8b-06ac-4694-945e-8e10f10cb899 · inbound

The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form cites this paper.

The sharp $\sigma_2$-curvature inequality on the sphere in quantitative form Sharp stability for Sobolev and log-Sobolev inequalities, with optimal dimensional dependence

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-11T13:50:10.707154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-08-11T13:50:10.503058Z digest=sha256:55dab7f903b203e9c0e924072caa7640e57a66db405c8aa46866695551a3f8df