Paper Citation Record · LEDGER

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2606.04225.

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

pith.paper-citation-record.v1
2606.04225 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T07:11:55.856137Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

23 of 23 outbound references displayed

verified exact3
verified fuzzy0
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

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Outbound references

Observation ee462518-fcef-4693-baa2-d75e15a00706 · outbound

This paper cites an unresolved cited work.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5c57051-e6b5-4068-a773-539813d106d3 · outbound

This paper cites Chen and L.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Chen and L

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de30cffc-988a-4229-aafd-e4ec6be1bd2d · outbound

This paper cites Chen and T.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Chen and T

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ca074ab-9fd2-4439-b80c-29ab49d31e73 · outbound

This paper cites Comtet,Advanced Combinatorics: The Art of Finite and Infinite Expansions, Reidel Publishing Company, Dor- drecht/Boston, 1974.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Comtet,Advanced Combinatorics: The Art of Finite and Infinite Expansions, Reidel Publishing Company, Dor- drecht/Boston, 1974

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7df9884f-7798-4f5e-81be-3d96079522de · outbound

This paper cites an unresolved cited work.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 78122ea0-6b6c-45fa-ba37-889d0b106ed9 · outbound

This paper cites Asymptotic expansions of exponentials of digamma function and identity for Bernoulli polynomials.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Asymptotic expansions of exponentials of digamma function and identity for Bernoulli polynomials

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-02T07:06:44.087887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation fa4cc0eb-1cab-45c3-98c0-63b640891dcc · outbound

This paper cites The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians The conformal logarithmic Laplacian on the sphere: Yamabe-type problems and Sobolev spaces

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:06:44.084968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ea66e02c-69b9-4bad-9139-f33c3b90056b · outbound

This paper cites Fucci, M.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Fucci, M

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eaa00896-0722-40cf-b953-1e0417fa28cc · outbound

This paper cites Fucci and J.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Fucci and J

Reference 9

Resolution: verified exact; doi, observed 2026-06-28T07:21:45.160646Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f7375005-9a5c-45fa-a1d3-b10b6ebdac68 · outbound

This paper cites Garbaczewski and V.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Garbaczewski and V

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 452be209-cb43-486e-a3b6-90ad8b3090fa · outbound

This paper cites an unresolved cited work.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc0bc03c-22c5-48b5-897f-966b585ad91a · outbound

This paper cites Gessel,On Miki’s identity for Bernoulli numbers, J.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Gessel,On Miki’s identity for Bernoulli numbers, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 16833575-349b-4de8-847f-6778ded92d7b · outbound

This paper cites Laptev and T.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Laptev and T

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 14bcf039-2b25-456e-bf36-3e5268fda596 · outbound

This paper cites Luke,The Special Functions and Their Approximations, vol.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Luke,The Special Functions and Their Approximations, vol

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef4b6bc5-51fe-4493-bdd0-de6a20aa6aab · outbound

This paper cites Maximon,A generating function for the product of two Legendre polynomials, Norske Vid.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Maximon,A generating function for the product of two Legendre polynomials, Norske Vid

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1297847-1ea2-42a7-b71c-eb43cf566602 · outbound

This paper cites Maz’ya,Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations, Integr.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Maz’ya,Seventy Five (Thousand) Unsolved Problems in Analysis and Partial Differential Equations, Integr

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e90c1b65-8891-455f-9c57-294a3ac63067 · outbound

This paper cites Maz’ya, S.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Maz’ya, S

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9057d316-9791-457e-b798-990889826446 · outbound

This paper cites an unresolved cited work.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 532613d8-9485-40a1-88f6-629a6aca5e04 · outbound

This paper cites O’Sullivan,De Moivre and Bell polynomials, Expo.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians O’Sullivan,De Moivre and Bell polynomials, Expo

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35b11c1f-fcde-4f76-810c-f09daf03d4cc · outbound

This paper cites Szeg¨ o,Orthogonal Polynomials, American Mathematical Society, Providence, RI, 1939.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Szeg¨ o,Orthogonal Polynomials, American Mathematical Society, Providence, RI, 1939

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9c3bf3e-78aa-481a-ac28-d35ba9de2c68 · outbound

This paper cites Tuck,Some methods for flows past blunt slender bodies, J.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Tuck,Some methods for flows past blunt slender bodies, J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5e4e7d2-97aa-484e-ab96-7899f6cf967c · outbound

This paper cites Yang,On an open problem of Chen and Mortici concerning the Euler–Mascheroni constant, J.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Yang,On an open problem of Chen and Mortici concerning the Euler–Mascheroni constant, J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce3ddfcd-c9de-4d5c-bb8b-bbbcc453f4dc · outbound

This paper cites Zagier,Curious and exotic identities for Bernoulli numbersin T.

On the fundamental solutions of two nonlocal parabolic equations related to logarithmic Laplacians Zagier,Curious and exotic identities for Bernoulli numbersin T

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-28T07:11:55.856137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.