Paper Citation Record · LEDGER

The fuzzy Landau equation: global well-posedness and Fisher information

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2507.08689.

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

pith.paper-citation-record.v1
2507.08689 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:23:08.574162Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:44:24.780334Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T17:44:25.446466Z

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy15
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 68ede4a7-b077-4a7b-85bb-5ff471b4c0a6 · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:10.045150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 22577686-0be3-4f89-a82b-3e73c8b37e9a · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:10.032193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72c621f8-214e-4ecc-8cbd-f246de44e692 · outbound

This paper cites Caffarelli, M.

The fuzzy Landau equation: global well-posedness and Fisher information Caffarelli, M

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:10.019899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 02dd4df3-1ad2-4782-a374-bc68e6f8b13f · outbound

This paper cites Cameron, L.

The fuzzy Landau equation: global well-posedness and Fisher information Cameron, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:10.007304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1629fa88-438e-46ef-b34c-d6fba5c743e0 · outbound

This paper cites Cercignani.

The fuzzy Landau equation: global well-posedness and Fisher information Cercignani

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.994093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ede2ab05-5e8f-4f37-bb76-80637cb98bd2 · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.981172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0056a459-cf12-4bed-ae74-e6bfd37d27d1 · outbound

This paper cites Production of the Fisher information for the Landau-Coulomb equation with L1 initial data.

The fuzzy Landau equation: global well-posedness and Fisher information Production of the Fisher information for the Landau-Coulomb equation with L1 initial data

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:06.753139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed81e2cb-9b9d-4f31-b143-1f7b73b78151 · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.967332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f74f0dad-4df6-4d20-a08c-4a7d135e8b30 · outbound

This paper cites Duong and Z.

The fuzzy Landau equation: global well-posedness and Fisher information Duong and Z

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:06.910910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e817857a-b0cc-4469-b902-163b030aa809 · outbound

This paper cites On a fuzzy Landau Equation: Part II. Solvability results.

The fuzzy Landau equation: global well-posedness and Fisher information On a fuzzy Landau Equation: Part II. Solvability results

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:23:09.029816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3cd21cc7-310a-4c9a-b01d-a4bbfcf3c42b · outbound

This paper cites Passing to the limit in fuzzy Boltzmann equations.

The fuzzy Landau equation: global well-posedness and Fisher information Passing to the limit in fuzzy Boltzmann equations

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T18:23:08.922139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bc939ac5-de49-49a6-b2fa-fe6d76772834 · outbound

This paper cites Erbar and Z.

The fuzzy Landau equation: global well-posedness and Fisher information Erbar and Z

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.954513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b21bf4cd-1bd0-4830-8e17-f1f5d4bb3ca5 · outbound

This paper cites Golding, M.

The fuzzy Landau equation: global well-posedness and Fisher information Golding, M

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.941337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0106890-11a8-4c76-9524-ac072473479a · outbound

This paper cites Grmela and H.C.

The fuzzy Landau equation: global well-posedness and Fisher information Grmela and H.C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.928034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 17aeb2a5-49d4-401b-a793-f69950a8cb6a · outbound

This paper cites The Landau equation and Fisher information.

The fuzzy Landau equation: global well-posedness and Fisher information The Landau equation and Fisher information

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:07.427085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb36fa7e-6223-4a84-9099-450f1d3468bd · outbound

This paper cites Guillen and L.

The fuzzy Landau equation: global well-posedness and Fisher information Guillen and L

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.915510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fa58455a-c445-4b0a-a304-29213b2df562 · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.902014Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 34db87f6-73b1-4123-817d-9db2546fa805 · outbound

This paper cites Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in $H^{-\f12}$ space with polynomial tail.

The fuzzy Landau equation: global well-posedness and Fisher information Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in $H^{-\f12}$ space with polynomial tail

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:07.732590Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a22b67f5-e0f4-43a7-969b-608be22ebfa2 · outbound

This paper cites Henderson and S.

The fuzzy Landau equation: global well-posedness and Fisher information Henderson and S

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.888541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3b39a8ef-2713-4453-8c9c-bade431af5f9 · outbound

This paper cites Henderson, S.

The fuzzy Landau equation: global well-posedness and Fisher information Henderson, S

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.873666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 686cfdb3-4f40-4012-b242-ae3cc31a2c33 · outbound

This paper cites Imbert and L.

The fuzzy Landau equation: global well-posedness and Fisher information Imbert and L

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.859593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 550b7fef-9220-4117-a855-9335e797178e · outbound

This paper cites Imbert and L.

The fuzzy Landau equation: global well-posedness and Fisher information Imbert and L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.846300Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4561851a-e37a-4526-934b-0e7423088fa5 · outbound

This paper cites On the monotonicity of the Fisher information for the Boltzmann equation.

The fuzzy Landau equation: global well-posedness and Fisher information On the monotonicity of the Fisher information for the Boltzmann equation

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:08.031108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5336263-b3aa-483d-9d39-b500ae315119 · outbound

This paper cites Bounds for the optimal constant of the Bakry-\'Emery $\Gamma_2$ criterion inequality on $ RP^{d-1}$.

The fuzzy Landau equation: global well-posedness and Fisher information Bounds for the optimal constant of the Bakry-\'Emery $\Gamma_2$ criterion inequality on $ RP^{d-1}$

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:08.078170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19a3969c-feb1-4d4a-922b-aee38ba99f3b · outbound

This paper cites Dissipation estimates of the Fisher information for the Landau equation.

The fuzzy Landau equation: global well-posedness and Fisher information Dissipation estimates of the Fisher information for the Landau equation

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:08.135311Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29d3f6dc-2068-40bd-be1c-d582b49ef83f · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.832261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 478078d0-3dcf-49c5-8958-340bccf26d6d · outbound

This paper cites On Boltzmann and Landau equations.

The fuzzy Landau equation: global well-posedness and Fisher information On Boltzmann and Landau equations

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.818469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 117cb4e9-2431-42d9-bca4-c31e942b66f0 · outbound

This paper cites Merle, P.

The fuzzy Landau equation: global well-posedness and Fisher information Merle, P

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.804117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b4ae6eec-2d11-47e1-991b-404d13cd3038 · outbound

This paper cites Merle, P.

The fuzzy Landau equation: global well-posedness and Fisher information Merle, P

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.773584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5394cf93-1e49-4d87-9e6f-ec2237537f07 · outbound

This paper cites Morgenstern.

The fuzzy Landau equation: global well-posedness and Fisher information Morgenstern

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T18:23:09.563441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b11126cc-05c4-45b6-8e44-2dcc12f2b292 · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.409926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3ce5aefe-2f03-4a70-969f-0526150ea33c · outbound

This paper cites an unresolved cited work.

The fuzzy Landau equation: global well-posedness and Fisher information Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T18:23:09.185419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f29f95b9-853b-4f7f-bd82-19e61166a342 · outbound

This paper cites Snelson and C.

The fuzzy Landau equation: global well-posedness and Fisher information Snelson and C

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:08.538416Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a640107f-eccc-4716-a416-42f69d6dd595 · outbound

This paper cites Fisher Information in Kinetic Theory.

The fuzzy Landau equation: global well-posedness and Fisher information Fisher Information in Kinetic Theory

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-06T18:23:08.574162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fcd921c2-e19b-4cbc-9ce2-07b104f3e387 · inbound

On a fuzzy Landau Equation: Part II. Solvability results cites this paper.

On a fuzzy Landau Equation: Part II. Solvability results The fuzzy Landau equation: global well-posedness and Fisher information

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-06T17:44:25.499773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.