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Paper Citation Record · LEDGER

What Is the Fractional Laplacian?

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1801.09767.

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

pith.paper-citation-record.v1
1801.09767 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:06:03.639981Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-29T12:23:24.296765Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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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 0a123850-c997-494d-8afd-884ccea19ace · inbound

An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems cites this paper.

An Asymptotically Compatible Approach For Neumann-Type Boundary Condition On Nonlocal Problems What Is the Fractional Laplacian?

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-14T14:06:03.639981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:06:03.639981Z digest=sha256:932ee5401c03b6c2e2cca03543008593030e15f33c6fcaf371d9775bb83fd984

Observation 04fed72e-7a90-4990-94de-0828e4266f22 · inbound

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ cites this paper.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ What Is the Fractional Laplacian?

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-14T11:30:23.358461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:30:23.358461Z digest=sha256:6003d848cdcfc531d774893966ad06d0cd1e7087d69487f4f1278518e6ad1c1b

Observation e63aed76-8ca0-4e17-8ef7-d40e65a600bb · inbound

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains cites this paper.

Fast Fourier-like Mapped Chebyshev Spectral-Galerkin Methods for PDEs with Integral Fractional Laplacian in Unbounded Domains What Is the Fractional Laplacian?

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-14T11:02:37.013150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:02:37.013150Z digest=sha256:29524d096df80892f7cb9ac8d653dc6b2e4558b59528a2c07f3e6d3e1490702b

Observation b532a4ff-f355-4d66-9f00-cf5c82aa574a · inbound

Statistical mechanics of fluids with hidden degrees of freedom cites this paper.

Statistical mechanics of fluids with hidden degrees of freedom What Is the Fractional Laplacian?

Reference 36

Resolution
unresolved
no resolver link, observed 2026-08-07T04:47:39.347750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:47:39.347750Z digest=sha256:b1bc1062e373938a613c38a9bc82a57b0f79a2417d574132cb78685ca24cfaa5

Observation a7c782f4-8d98-4466-bad6-12a9eafd4a02 · inbound

Thermodynamic-limit dispersion relations on trapped-ion quantum hardware cites this paper.

Thermodynamic-limit dispersion relations on trapped-ion quantum hardware What Is the Fractional Laplacian?

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-06-29T12:23:24.297997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-29T12:19:36.957695Z digest=sha256:0b5eb1d251a612ef5beb44fa3841ee35b170ad3469511a552fee9b95a1931364

Observation 9d9cdb5d-5748-4aad-a115-41e2f07c1b09 · inbound

False vacuum decay in long-range interacting quantum systems cites this paper.

False vacuum decay in long-range interacting quantum systems What Is the Fractional Laplacian?

Reference 38

Resolution
unresolved
no resolver link, observed 2026-07-12T03:37:15.308579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:37:15.308579Z digest=sha256:3143692af4ab12dd5048e32a5b9143f5f449e0dd64caf90cc6a34ca17be64b3e

Observation d62a7ea9-8a66-474c-9011-c2825225c8fd · inbound

Quantum Theory of Third-harmonic Generation in Epsilon-Near-Zero Materials cites this paper.

Quantum Theory of Third-harmonic Generation in Epsilon-Near-Zero Materials What Is the Fractional Laplacian?

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-12T17:22:27.829603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-12T17:22:27.829603Z digest=sha256:65a5780fadf374b278e6049ce18c6dfa05161d615b340d0b899cb3764db72b26