Paper Citation Record · LEDGER

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

As of 17 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:1908.09143.

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

pith.paper-citation-record.v1
1908.09143 v1

Coverage vector

measured 47 of 47 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:30:23.576466Z

measured 47 of 47 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

47 of 47 outbound references displayed

verified exact0
verified fuzzy22
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites What Is the Fractional Laplacian?.

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.

Observation 2cbb8dc4-4a3e-47a4-8153-e5984a471b4c · outbound

This paper cites Kwa´ snicki, Ten equivalent deﬁnitions of the Fractional Laplace Op- erator, Fract.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Kwa´ snicki, Ten equivalent deﬁnitions of the Fractional Laplace Op- erator, Fract

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.332892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1382842e-b809-41a2-80eb-088c08f2260c · outbound

This paper cites Hilbert, Grundz¨ uge einer allgemeinen Theorie der linearen Integral- gleichungen, Fortschritte der Mathematischen Wissenschaften in Mono- graphien, Druck und Verlag von B.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Hilbert, Grundz¨ uge einer allgemeinen Theorie der linearen Integral- gleichungen, Fortschritte der Mathematischen Wissenschaften in Mono- graphien, Druck und Verlag von B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.317265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3a610f70-ca44-4207-9654-b4a28f6e47c0 · outbound

This paper cites Pozrikidis, The Fractional Laplacian, CRC Press, Boca Raton, FL, 2016.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Pozrikidis, The Fractional Laplacian, CRC Press, Boca Raton, FL, 2016

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.302429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d9e8720f-6d52-4fbe-b437-cea3523f7c9b · outbound

This paper cites Kolmogorov, I.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Kolmogorov, I

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.287268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6690b2ad-a205-4e50-bece-396dcf439647 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.271650Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 301ceb7e-de2d-408b-80cc-4af66ccb72c4 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.257839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6dce7c0c-4fbc-4514-89e8-dff9062e49b1 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.243579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7fc14c89-310f-4586-877c-1715b7f0de04 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.228342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation df4c099c-2156-4f76-b5a9-1bd8339e09b6 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.213477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1a57bed4-8a81-4331-8bca-518e3a463329 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.198883Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation be4fa856-23a2-4951-90f8-cf805fbd30ee · outbound

This paper cites FitzHugh., Impulses and Physiological States in Theoretical Models of Nerve Membrane, Biophysical Journal 1 (6) (1961) 445–466.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ FitzHugh., Impulses and Physiological States in Theoretical Models of Nerve Membrane, Biophysical Journal 1 (6) (1961) 445–466

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.184441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 653915cd-6576-4b76-9e17-0a19ed4a7ccf · outbound

This paper cites Nagumo, S.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Nagumo, S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.167179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 614e234f-e902-4752-824e-8402a24b29d4 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.151999Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e63a4f64-d189-48da-b467-4cc38fcef615 · outbound

This paper cites Mancinelli, D.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Mancinelli, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.136924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0e86ba34-f9df-44a1-ba77-293f9f696f1c · outbound

This paper cites Mancinelli, D.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Mancinelli, D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.122453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 47e754f6-7d2d-4d98-99ec-be0dad83b2f0 · outbound

This paper cites Baeumer, M.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Baeumer, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.106664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4157d85f-6e5c-45d1-bbe0-92d6e5c58dc6 · outbound

This paper cites Cabr´ e, Y.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Cabr´ e, Y

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.091176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a229d52b-613b-46ee-871b-f41866e563b8 · outbound

This paper cites Cabr´ e, Y.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Cabr´ e, Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.076430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d2bdea92-751e-4e2e-a95c-099fbbdd960d · outbound

This paper cites Engler, On the speed of spread for fractional reaction-diﬀusion equa- tions, International Journal of Diﬀerential Equations16 pages.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Engler, On the speed of spread for fractional reaction-diﬀusion equa- tions, International Journal of Diﬀerential Equations16 pages

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.061407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 711b2a0b-b077-4b28-a676-066b2109e86b · outbound

This paper cites Cabr´ e, J.-M.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Cabr´ e, J.-M

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.046321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4d13776d-d7d2-4373-9ccc-a6511e6617fe · outbound

This paper cites Cabr´ e, J.-M.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Cabr´ e, J.-M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.031236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1c7c4332-78a4-48d8-ae4b-0d9d9046dd4c · outbound

This paper cites de la Hoz, C.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ de la Hoz, C

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:24.016120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c60ef7a3-b769-4e22-9985-73b8903e5514 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:24.000424Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1e5072dc-973c-49af-91ad-bd8cdd871eda · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.984752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f6fb2aae-062b-48e2-a228-82473e60cd54 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.968074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8e45f713-48e4-48b6-b197-0742e472ad00 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.952157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 43b36f60-b0eb-4e3d-ba29-aa523f859399 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.934083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7dac2a6c-1446-4002-8753-ef91f9678142 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.916596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 87c524ae-faff-47f8-a7c4-8ad8067f1adc · outbound

This paper cites de la Hoz, F.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ de la Hoz, F

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.900435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1cfb8e57-2e46-4cdd-844a-ad8d3d8d1fd7 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.884504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0e738f0a-cbdf-4751-ad15-f0afd8905bd1 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.867831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 171b214b-4e66-4d12-9e26-c56468d70969 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.851888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7ffe4aea-a7fb-4634-8793-84f0e2d2c1c3 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T11:30:23.514833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59fc6ca0-3fd3-4adc-9e71-8c57444761cb · outbound

This paper cites Frigo, S.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Frigo, S

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.823745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e78fcf0a-efdb-4ed3-8b87-50326dec7276 · outbound

This paper cites Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, Journal of Fluid Mechanics 167 (1986) 65– 93.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Krasny, A study of singularity formation in a vortex sheet by the point-vortex approximation, Journal of Fluid Mechanics 167 (1986) 65– 93

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.808261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e49d5fe1-3f09-408a-b5bd-01432ff94e46 · outbound

This paper cites Nielsen, Handbuch der Theorie der Gammafunction, Druck und Ver- lag von B.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Nielsen, Handbuch der Theorie der Gammafunction, Druck und Ver- lag von B

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.792366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 61303f99-ed9e-481d-ad5e-13137fea51eb · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.776579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4af3c747-8dfc-41ee-a5f0-bbe6abfa7d56 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.761339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5fb12af9-6550-4884-bebe-cc9fe86a4794 · outbound

This paper cites Cody, An Overview of Software Development for Special Functions, Vol.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Cody, An Overview of Software Development for Special Functions, Vol

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.745336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8464c5af-dec9-4c4e-82b1-74ea9a666c22 · outbound

This paper cites Morton, L.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Morton, L

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.729123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c0f9b367-7148-4761-87f9-4d84d57526c7 · outbound

This paper cites Huybrechs, On the Fourier Extension of Nonperiodic Functions, SIAM Journal on Numerical Analysis 47 (6) (2010) 4326–4355.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Huybrechs, On the Fourier Extension of Nonperiodic Functions, SIAM Journal on Numerical Analysis 47 (6) (2010) 4326–4355

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:30:23.712932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 29922355-5b15-40db-a956-f4fc8129a32b · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.693453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 83f0d432-729a-48b2-8092-8c38b7556f40 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 44

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.677115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 5655d3b0-e6c8-43b7-8935-8f63195aadbc · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 45

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.660959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 034da982-9d41-4260-8978-de6ebe48b3f4 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 46

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.646486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 60787fd7-d98f-4e34-8f52-3baba1afcbd9 · outbound

This paper cites an unresolved cited work.

A Pseudospectral Method for the One-Dimensional Fractional Laplacian on $\mathbb R$ Unresolved cited work

Reference 47

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:30:23.630080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.