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Paper Citation Record · LEDGER

Attaining the optimal constant for higher-order Sobolev inequalities on manifolds via asymptotic analysis

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2408.09234.

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

pith.paper-citation-record.v1
2408.09234 v2

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 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:06:01.489796Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T22:57:02.440056Z

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 bf8c5ae9-16ee-429d-8aad-01af14540f32 · inbound

Localization of bubbling for high order nonlinear equations cites this paper.

Localization of bubbling for high order nonlinear equations Attaining the optimal constant for higher-order Sobolev inequalities on manifolds via asymptotic analysis

Reference 5

Resolution
metadata mismatch
local_arxiv, observed 2026-08-10T22:57:02.446668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-10T22:57:02.218288Z digest=sha256:1f1b7832c4806c07f83fcfd2a222c22cfa028263f595092247b177275ac6127d

Observation 16f4ce04-b441-4cfd-908a-ccbe5b955a4c · inbound

Extremising eigenvalues of the GJMS operators in a fixed conformal class cites this paper.

Extremising eigenvalues of the GJMS operators in a fixed conformal class Attaining the optimal constant for higher-order Sobolev inequalities on manifolds via asymptotic analysis

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-15T22:06:01.489796Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:06:01.489796Z digest=sha256:ec30ac02334b24628549aecf3f5d094375568a423faf5775d9200bd923bec946