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Paper Citation Record · LEDGER

Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2410.21039.

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

pith.paper-citation-record.v1
2410.21039 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:55:13.670147Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T17:18:47.468208Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
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  • 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 f6b2cc1e-8b07-4c45-adac-503b0a440d66 · inbound

Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields cites this paper.

Sharp remainder of the $L^{p}$-Poincar\'e inequality for Baouendi-Grushin vector fields Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-06T20:55:13.670147Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T20:55:13.670147Z digest=sha256:6c452c25bd4a6d1877262292a388fe645a967faf65a43548d69e2b6c166676a2

Observation 08aa9fcd-634e-4694-ad93-4fe76399a076 · inbound

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps cites this paper.

Stability of the $L^{p}$-Poincar\'e inequality for the Lebesgue measure and Gaussian probability measure with explicit geometric dependence and applications to spectral gaps Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-03T04:16:02.360897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:16:02.360897Z digest=sha256:14f202763a83e738729e752fd0628a2d1f51178f36aa14b659c8baad05a4cdab

Observation d48b11da-cb7b-41a5-94f0-4192c8665b7b · inbound

Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis cites this paper.

Quantitative stability for fractional Hardy inequalities: Rearrangement-free techniques and Emden-Fowler analysis Scale-Dependent Poincar\'{e} inequalities, log-Sobolev inequality and the stability of the Heisenberg Uncertainty Principle on the hyperbolic space

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-05-20T17:18:47.470634Z

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=2026-05-20T17:14:13.016586Z digest=sha256:c623897b6bd3626aeff8179971d553157e550cab53a85bb28501a4fdf77ff56e