Paper Citation Record · LEDGER

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation

As of 18 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2501.13771.

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

pith.paper-citation-record.v1
2501.13771 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T15:44:35.228611Z

measured 22 of 22 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 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

22 of 22 outbound references displayed

verified exact10
verified fuzzy5
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 819fa82c-0f09-4fe7-b525-6795c1b55da1 · outbound

This paper cites an unresolved cited work.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:44:35.748023Z

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.

Observation 5cff53b0-aeca-4836-bbda-4f625231e1eb · outbound

This paper cites Auscher, C.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Auscher, C

Reference 2

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.568629Z

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.

Observation 956920df-a7e2-41e4-9e1f-7aedd6c90f9f · outbound

This paper cites an unresolved cited work.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Unresolved cited work

Reference 3

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.467055Z

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.

Observation 661c1cdc-5ca4-4bfe-a67c-3660adf50901 · outbound

This paper cites an unresolved cited work.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.448060Z

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.

Observation f0a3d7cc-ef72-45ce-8ea7-5cb54168a236 · outbound

This paper cites an unresolved cited work.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.431883Z

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.

Observation 260bea88-efb2-43ca-818b-ea24a664c71a · outbound

This paper cites Farkas and L.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Farkas and L

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.414829Z

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.

Observation 2356cfdb-7e14-45cd-9f8d-64f9a6010dc8 · outbound

This paper cites Second order fractional mean-field SDEs with singular kernels and measure initial data.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Second order fractional mean-field SDEs with singular kernels and measure initial data

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.156454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61edee26-1104-47d4-9c1d-a3b855a0d202 · outbound

This paper cites H¨ ormander, Hypoelliptic second order diﬀerential e quations, Acta Math.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation H¨ ormander, Hypoelliptic second order diﬀerential e quations, Acta Math

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.161781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f5b5d5a-424f-4d19-9ca1-ca15451eb123 · outbound

This paper cites Heat kernel estimates for nonlocal kinetic operators.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Heat kernel estimates for nonlocal kinetic operators

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.166609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3fe440f6-d666-442b-ac9d-36e549b59529 · outbound

This paper cites Imbert and L.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Imbert and L

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:44:35.733453Z

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.

Observation 3266de1c-8543-44ca-8a38-809a909bfc6a · outbound

This paper cites Kolmogorov, Zuf¨ allige Bewegungen (zur Theorie der Brownschen Bewegung), Ann.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Kolmogorov, Zuf¨ allige Bewegungen (zur Theorie der Brownschen Bewegung), Ann

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.176300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38eb7d66-6807-40d8-82ad-4a4d77ce1a66 · outbound

This paper cites an unresolved cited work.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.345219Z

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.

Observation aa0b34e7-6c25-4f61-94ca-93869321f3b0 · outbound

This paper cites Lanconell and S.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Lanconell and S

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-10T15:44:35.654475Z

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.

Observation 965efa40-6499-4c42-a971-a18a4205cc93 · outbound

This paper cites Lanconelli and A.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Lanconelli and A

Reference 14

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.329002Z

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.

Observation de955a96-c03d-4e60-b21c-a1a9c8dba327 · outbound

This paper cites Semi-local behaviour of non-local hypoelliptic equations: divergence form.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Semi-local behaviour of non-local hypoelliptic equations: divergence form

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.195574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c3d0ba1-6a89-47f1-8df6-561ea82fb843 · outbound

This paper cites Nash, Continuity of Solutions of Parabolic and Ellip tic Equations, American Journal of Mathematics , 80 (1958), 931–954.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Nash, Continuity of Solutions of Parabolic and Ellip tic Equations, American Journal of Mathematics , 80 (1958), 931–954

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T15:44:35.200605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 008e979d-9bf2-4024-9888-188228fb9df2 · outbound

This paper cites Niebel, Kinetic maximal Lp µ (Lp)-regularity for the fractional Kolmogorov equation with v ariable density, Nonlinear Analysis, 214 (2022), 112517.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Niebel, Kinetic maximal Lp µ (Lp)-regularity for the fractional Kolmogorov equation with v ariable density, Nonlinear Analysis, 214 (2022), 112517

Reference 17

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.284057Z

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.

Observation 0a1d475a-78d6-4602-928d-dbb6e00c7bf1 · outbound

This paper cites Niebel and R.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Niebel and R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:44:35.718654Z

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.

Observation 355e86d5-2d1c-4ccf-865d-b1b339c3c70c · outbound

This paper cites Pascucci and S.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Pascucci and S

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T15:44:35.267861Z

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.

Observation b0d133e3-a356-49ac-8124-a2ce42715db9 · outbound

This paper cites Polidoro, On a class of ultraparabolic operators of K olmogorov-Fokker-Planck type, Le Matematiche , 49 (1994), 53–105.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation Polidoro, On a class of ultraparabolic operators of K olmogorov-Fokker-Planck type, Le Matematiche , 49 (1994), 53–105

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:44:35.703718Z

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.

Observation e16e0874-2eb7-42cb-a416-bcc7316cecc3 · outbound

This paper cites P´ olya, On the zeros of an integral function represen ted by Fourier’s integral, Messenger of Math , 52 (1923), 185–188.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation P´ olya, On the zeros of an integral function represen ted by Fourier’s integral, Messenger of Math , 52 (1923), 185–188

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:44:35.688228Z

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.

Observation 5cf4ae4d-585e-409e-b44d-ee5b399643a7 · outbound

This paper cites W eber, The fundamental solution of a degenerate part ial diﬀerential equation of parabolic type, Transactions of the American Mathematical Society , 71 (1951), 24–37.

Pointwise upper bound for the fundamental solution of fractional Fokker-Planck equation W eber, The fundamental solution of a degenerate part ial diﬀerential equation of parabolic type, Transactions of the American Mathematical Society , 71 (1951), 24–37

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:44:35.672234Z

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.

Pith citing papers

No inbound Pith citation observations are available.