Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Optimal embedding results for fractional Sobolev spaces
As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2411.12245.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-03T11:17:13.038668Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-19T15:52:38.010921Z
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 2b7c3ca5-2940-4c85-8c2c-26a92ef200f6 · inbound
On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' cites this paper.
On a Sobolev critical problem for the superposition of a local and nonlocal operator with the "wrong sign'' Optimal embedding results for fractional Sobolev spaces
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T11:17:13.038668Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f6e1d16-831d-4936-9907-622a463a43fa · inbound
Stability of the ball in isoperimetric inequalities between two fractional perimeters cites this paper.
Stability of the ball in isoperimetric inequalities between two fractional perimeters Optimal embedding results for fractional Sobolev spaces
Reference 11
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-14T02:22:27.898764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 35c13e7a-7f9d-4092-959e-61923eab6885 · inbound
Regularity of superposition operators of mixed fractional order cites this paper.
Regularity of superposition operators of mixed fractional order Optimal embedding results for fractional Sobolev spaces
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-07-14T02:22:27.898764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.