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Paper Citation Record · LEDGER

User's guide to the fractional Laplacian and the method of semigroups

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1808.05159.

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

pith.paper-citation-record.v1
1808.05159 v1

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 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:27:27.295644Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T18:20:04.973712Z

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 c560cb10-1a34-4100-ae50-742dd9fa7da3 · inbound

Smooth Perturbations to R\'enyi Entropy cites this paper.

Smooth Perturbations to R\'enyi Entropy User's guide to the fractional Laplacian and the method of semigroups

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-12T10:27:27.295644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:27:27.295644Z digest=sha256:3d2adb6b08416839bdf197b9e1cc54feeeb6d624d9839d784439dba8b8d62aa3

Observation 602298d4-6d55-44e4-9077-0775389578fd · inbound

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces cites this paper.

Fractional Heat Semigroup Characterization of Distances from Functions in Lipschitz Spaces to Their Subspaces User's guide to the fractional Laplacian and the method of semigroups

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-05T14:31:54.231566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T14:31:54.231566Z digest=sha256:d5a83be4ea4706e5df044105fbcc269ec9dbfa6872b23e6d64bc444070f74587

Observation 9ada1f10-96b3-4112-816e-bfb09ad53ed5 · inbound

The Fractional Dunkl Laplacian: Extension Problem and Fundamental Solution cites this paper.

The Fractional Dunkl Laplacian: Extension Problem and Fundamental Solution User's guide to the fractional Laplacian and the method of semigroups

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-07-04T18:20:04.975492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-06-25T22:54:39.583448Z digest=sha256:89f5b3d06cc8513384dec314ede930639640242430027def2504aa3e71a736ea