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Paper Citation Record · LEDGER

Hardy perturbations of subordinated Bessel heat kernels

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2409.02853.

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

pith.paper-citation-record.v1
2409.02853 v1

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 2026-08-07T05:31:36.259095Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T17:13:01.348148Z

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 6a3e6002-54e1-4c94-a23e-0c8c10502b25 · inbound

Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels cites this paper.

Heat kernel bounds for the fractional Laplacian with Hardy potential in angular momentum channels Hardy perturbations of subordinated Bessel heat kernels

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T05:31:36.259095Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:31:36.259095Z digest=sha256:d4f2a999ecf12f4c005a8d3a4a09f2c31f51a6c758ea97d7c0122e31c3d4034f

Observation a60a3bc2-c67d-4ed8-8ff5-3f35bf331906 · inbound

Sharp upper bounds for the density of relativistic atoms: Noninteracting case cites this paper.

Sharp upper bounds for the density of relativistic atoms: Noninteracting case Hardy perturbations of subordinated Bessel heat kernels

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-05-13T17:13:01.349959Z

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=arxiv_source observed=2026-05-13T17:09:35.243637Z digest=sha256:d57816c73899261b37ba29f4100d1c1e77846839c09b62963780760c19b0b35c