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Paper Citation Record · LEDGER

Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2405.17727.

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

pith.paper-citation-record.v1
2405.17727 v3

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 2026-08-09T06:31:02.800959+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:53:17.056635Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T13:20:49.237318Z

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 bd525b9b-7c26-47e4-887c-5f122bfaa059 · inbound

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants cites this paper.

Asymptotically sharp stability of Sobolev inequalities on the Heisenberg group with dimension-dependent constants Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-06T16:53:17.056635Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T16:53:17.056635Z digest=sha256:200c7f3d6e0aaa7fca5905e85a0c10f4dc5a10afabb4e1f8e7b120bce9bdf354

Observation 281b5183-62be-4be1-a051-4a1f8a72563e · inbound

Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities cites this paper.

Sharp gradient stability for a class of Hardy-Sobolev-Maz'ya inequalities Optimal stability of Hardy-Littlewood-Sobolev and Sobolev inequalities of arbitrary orders with dimension-dependent constants

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-05T13:20:49.246648Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-08-05T13:20:47.749748Z digest=sha256:377def451f0f0903748fa8b03240985c9cda889d0fe3f3d2cd10eb304f69f442