Pith. sign in

Paper Citation Record · LEDGER

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations

As of 9 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.20775.

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

pith.paper-citation-record.v1
2506.20775 v2

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:49:42.306443Z

measured 25 of 25 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T22:53:06.136006Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

24 of 24 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 44778462-4726-4dfd-af6b-a40562fd9ff9 · outbound

This paper cites Alexandre, J.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Alexandre, J

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.720821Z

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.

source=pdf_text observed=2026-08-06T22:49:40.065471Z digest=sha256:476e5b99610d2efc13dcbc952e992cc9e984f9eaab8d789b458f949395ad85e0

Observation 835bdf3c-57a7-49d7-ab49-b7a8c6640a22 · outbound

This paper cites Alexandre, Y.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Alexandre, Y

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.701734Z

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.

source=pdf_text observed=2026-08-06T22:49:40.149896Z digest=sha256:95a0405ef20948e1e8cfb0454973329b250efec6873a55633c756ac1b78e2385

Observation 390d2bea-edde-49a3-a66d-de4151154965 · outbound

This paper cites Alonso, Y.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Alonso, Y

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.683130Z

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.

source=pdf_text observed=2026-08-06T22:49:40.239070Z digest=sha256:e9cdc05dccc1e342e7bdaf856781103e46260993c4f98f03d2cad1c1ac7bd040

Observation 39bfe32d-9fa2-4419-bc99-69b6edc85e3d · outbound

This paper cites Anceschi and Y.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Anceschi and Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.666151Z

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.

source=pdf_text observed=2026-08-06T22:49:40.302710Z digest=sha256:f56b2cec7f363c7879c8b1e8db65e5c6427805878c39740cfa1610e554aa272f

Observation cdd45a5d-cd89-468c-a2ac-b0884bebf65c · outbound

This paper cites Desvillettes and C.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Desvillettes and C

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.651117Z

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.

source=pdf_text observed=2026-08-06T22:49:40.452475Z digest=sha256:f2e50570886097229ed2ce474e010cf66bcd5dec0202fe162e64a2c6756ee008

Observation 61bcc3b4-1138-41a5-9208-27ddd8bfd7f4 · outbound

This paper cites an unresolved cited work.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:42.635211Z

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.

source=pdf_text observed=2026-08-06T22:49:40.662604Z digest=sha256:142b61c9658a77f5a9e23ce00941fc3b098368c7fd2f2514118d69e2ede4f54a

Observation 283de405-4274-405c-9c8a-119fa754239a · outbound

This paper cites an unresolved cited work.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:42.620163Z

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.

source=pdf_text observed=2026-08-06T22:49:40.762569Z digest=sha256:af1d48091dd82a823d5539d03a242e40e7b4ad3479f283098b66b1327faa4b81

Observation be3d872e-ad5b-4cc5-998e-f7473435326f · outbound

This paper cites an unresolved cited work.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:42.606258Z

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.

source=pdf_text observed=2026-08-06T22:49:40.871075Z digest=sha256:f4ac896b82e8f0f54f08ce6af9c0959c011c2b0354dd1c0c3446c283ba57289a

Observation af8476e7-3c0d-4128-94bd-66595c76ee64 · outbound

This paper cites Fournier,Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb poten- tial., Comm.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Fournier,Uniqueness of bounded solutions for the homogeneous Landau equation with a Coulomb poten- tial., Comm

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.590606Z

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.

source=pdf_text observed=2026-08-06T22:49:41.039516Z digest=sha256:296b5c5e416b91bf99ae5c9aa5c43ad4d24d90eb5c446e6aa21618133e5ccb41

Observation 521763bb-ff52-4d6e-998d-4e63762e702b · outbound

This paper cites Fournier and D.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Fournier and D

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.575646Z

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.

source=pdf_text observed=2026-08-06T22:49:41.183706Z digest=sha256:0b3a709579bb78c5c1b338c4aad840bfdeaeb3e065aba52edef0ec4f2db1052e

Observation ace416f9-5828-4bac-bd62-efc84b8a75e0 · outbound

This paper cites Fournier and H.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Fournier and H

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.561416Z

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.

source=pdf_text observed=2026-08-06T22:49:41.345305Z digest=sha256:92905eaa4d77a6fb9496f4e5ef45992b4d931c921cd5fe913710b2807c691a11

Observation 0c874d99-ee5f-4474-bd83-aa63ad9fc8b0 · outbound

This paper cites Golding, M.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Golding, M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.546826Z

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.

source=pdf_text observed=2026-08-06T22:49:41.509325Z digest=sha256:cea5a86432ee86c07e6d2b70876a0bdef7d2e44a68039454612aa74920c977f2

Observation ac9379e3-e304-47f1-bb17-e63da2a0818c · outbound

This paper cites an unresolved cited work.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:42.532713Z

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.

source=pdf_text observed=2026-08-06T22:49:41.675789Z digest=sha256:010cf5a9cd9d1e4f8bc0b0a9685f38a217f95dc2a65221bec414bca2b3694419

Observation 358ef052-39e7-466b-bd30-08f1bee2e1e9 · outbound

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

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Existence, uniqueness and smoothing estimates for spatially homogeneous Landau-Coulomb equation in $H^{-\f12}$ space with polynomial tail

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-06T22:49:41.788705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:49:41.788705Z digest=sha256:dc6f26a19da7184949073e6a81c1cdec83144aa777e88670785f7dbf8005d14c

Observation d24a5614-a694-4ebd-9797-dc31812376fa · outbound

This paper cites Henderson, S.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Henderson, S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.517480Z

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.

source=pdf_text observed=2026-08-06T22:49:41.950401Z digest=sha256:14b65581e73aaf922b48ae1efecf7c951efe025721d3fc4d9c7a5fe091d728da

Observation ead524bc-920f-4572-94a6-0b9c490db6bd · outbound

This paper cites Henderson, S.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Henderson, S

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.500086Z

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.

source=pdf_text observed=2026-08-06T22:49:41.974717Z digest=sha256:f3ab3a8eb632eac643a0b799af3b36922e76d5963fda148eb1cefb8c21851c52

Observation 6a189b19-5790-4973-a083-193bbbc4945a · outbound

This paper cites Henderson and W.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Henderson and W

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.482491Z

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.

source=pdf_text observed=2026-08-06T22:49:42.049764Z digest=sha256:c3a3554bdf67efe99fc72cb81d39d17e79f2cb8cc26c70d2012d738643e2d546

Observation 86aa3c38-9128-4db4-8915-bcb01450bac7 · outbound

This paper cites Kumano-Go,Pseudo-differential operators, The MIT Press, 1982.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Kumano-Go,Pseudo-differential operators, The MIT Press, 1982

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.467599Z

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.

source=pdf_text observed=2026-08-06T22:49:42.163395Z digest=sha256:8a9a0a0dd52604956e78e0c11a9546b6af8731d94f5cac964bf025e2e089d8f3

Observation 6a67cec8-f098-4d19-980c-d647ceea3a33 · outbound

This paper cites an unresolved cited work.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-06T22:49:42.450379Z

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.

source=pdf_text observed=2026-08-06T22:49:42.223336Z digest=sha256:40a1a82a10ca274826f34c6946fd3fc06e2f8a70012b3de5f1517aec66d4c8c7

Observation a9ad701f-11cc-4022-9752-b0fc51c63582 · outbound

This paper cites Morimoto and C.-J.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Morimoto and C.-J

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.432422Z

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.

source=pdf_text observed=2026-08-06T22:49:42.277209Z digest=sha256:183c2301d68711de9efcafaa07984474940e9dbe53b2ff7a7d204c9f5d92a496

Observation 3fa9713d-8647-4c9b-9c4d-5800834ceddd · outbound

This paper cites Mouhot and C.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Mouhot and C

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.416984Z

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.

source=pdf_text observed=2026-08-06T22:49:42.289407Z digest=sha256:8aa90b20ab679e6ec57a5f9ac9e44dc4b998585f2b6d1c3e3a2240c9047ca859

Observation 5e7bd577-1918-4cdd-859a-fd56e17c866b · outbound

This paper cites Ruzhansky and T.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Ruzhansky and T

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.399289Z

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.

source=pdf_text observed=2026-08-06T22:49:42.295023Z digest=sha256:b5e4325f88c1ccd5d60b1eec75d69d93ad4bb8ca15143422a925b45d3cf20cdd

Observation e6665523-f11b-47df-a716-93a5147a9234 · outbound

This paper cites Turunen and G.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Turunen and G

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.383786Z

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.

source=pdf_text observed=2026-08-06T22:49:42.300349Z digest=sha256:7c89791a4b888e7d89f18907fb7a13254ee51ba505dd755fd5d06520dd6524e9

Observation a3bbc5bf-67b4-4a5a-bfb5-045bb12ca01a · outbound

This paper cites Villani,On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch Rational Mech Anal143(1998), 273–307.

The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations Villani,On a new class of weak solutions to the spatially homogeneous Boltzmann and Landau equations, Arch Rational Mech Anal143(1998), 273–307

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T22:49:42.367699Z

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.

source=pdf_text observed=2026-08-06T22:49:42.306443Z digest=sha256:5b138208370ba75790173d31d67ac075e1c524dcdfe31ac9e9c634586e467612

Pith citing papers

Observation 27268bb1-bd1d-4055-b56d-81670f91257d · inbound

Uniqueness and Zeroth-Order Analysis of Weak Solutions to the Non-cutoff Boltzmann equation cites this paper.

Uniqueness and Zeroth-Order Analysis of Weak Solutions to the Non-cutoff Boltzmann equation The $\mathcal{M}$-Operator and Uniqueness of Nonlinear Kinetic Equations

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-02T22:53:06.136006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T22:53:06.136006Z digest=sha256:9fa1ca882d161b71169ba4f82d560ed5a620ebde935dcb7b71bdb5f9ac73ba15