Pith. sign in

Paper Citation Record · LEDGER

Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2109.08177.

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

pith.paper-citation-record.v1
2109.08177 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 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-08T22:02:27.189042Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-08T22:05:42.549368Z

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 2fd1b185-135b-415e-b947-e179dd51e8e1 · inbound

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition cites this paper.

Existence of Kelvin-Invariant Positive Solutions for Critical Elliptic Equations with Variable Coefficients via Profile Decomposition Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-07-08T22:05:42.552284Z

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=2026-07-08T22:02:27.189042Z digest=sha256:5971f8fc579b01ec01d2cacce0b7168137a9065333ffbb1e3df3566b0c4eee84

Observation b4bce2ea-c7b4-42bc-9088-b5ebc25f1b17 · 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 $p\ge 2$ Profile decomposition in Sobolev spaces and decomposition of integral functionals II: homogeneous case

Reference 45

Resolution
verified exact
local_arxiv, observed 2026-07-08T06:44:40.182389Z

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=sha256:2c21072e95e547bfb1482650d81da33a3bf0d7d60def5b3c97000144dd9f9c18