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 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.065471Z digest=sha256:bb6140a0612174f326ac82b95fa4df5b8a23b8dbcd2ad9c6ecb835d71838cf38

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.149896Z digest=sha256:c2feb731dc5f8bc25f860774c4a405854835f8c57f14addc13567157435995d9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.239070Z digest=sha256:fd5ce2ca8a367237247f778932f13815ba8b0a48ca317eb1ca9c4d8af92cab78

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.302710Z digest=sha256:cc78bd1919f78fcb6a9f701496510192d07d9984ee6cc1d6437ea0c7cb7cb50c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.452475Z digest=sha256:87eafa8a35c779943beaa53a7ce3917f9a3e25f24cf85bc5b4c7230ac265d2cc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.662604Z digest=sha256:3e4a08d7cfee8765b9e7e1f5d8748c8d47f74531735c86bd22257072ede645b6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.762569Z digest=sha256:7bb283c5fe464901a887024bfda772856c306f833717c58ee26c82bd7636eab5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:40.871075Z digest=sha256:b337fd76dfcb3ad87c27ce8fa712aad208f157c05f9ca2f7f00db8df51e9adbc

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.039516Z digest=sha256:2192f3f78fb7a3f059c79f8ee3913bd7ccbe50f6743fd0260f9cc537c2cc7ebf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.183706Z digest=sha256:97d6cc2d94bb8648df448488764dd8300651952ea4fbfba19cb3f3a82042f2f5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.345305Z digest=sha256:c533265f24a798ed51af23fc426a1f8cdfc983ddd979fc51584162e1402d8525

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.509325Z digest=sha256:50955f0ef04b5687687a24d58150b3d8f8a8c5b3fee904d5d8d51fe9adfcec7c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.675789Z digest=sha256:6e709ea7122e2332438d006dc6234ecfdde268622b69df7df0d6a19315b13b54

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.950401Z digest=sha256:c3a7d4e8892d39d5f6347a15969cfcef69a941ec05bd0abd662d2b9c5e271cf0

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:41.974717Z digest=sha256:93d8c4378d893c050e9ce0ea252e822df52dd71935f3a36295075cf77e09cde5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.049764Z digest=sha256:d2e0b3fee5a8a99bc55267588e5c0efcc57f5bc6e34f2316e0dcb0fb781149d2

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.163395Z digest=sha256:7e0f2d40ad03ef180526ff6cb0cd7b74fd69574332282e043b6b9a790d609943

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.223336Z digest=sha256:4aff023247cee090f7f0e9b5993c1ab6db187fe61f23f4db207333a9998de571

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.277209Z digest=sha256:db5bb5c2290fdcde74f2341bd71f49e6483ce1be30e362bdb1f897ffb0d7b11d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.289407Z digest=sha256:9732abb57882cd89c1535dd210777f15f17fa402a37bbccd8c6dafa6b011ad7a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.295023Z digest=sha256:55d187d0959148aaaf1b745edfc2462983a25daad0373785e6517b02b4fee454

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.300349Z digest=sha256:9faffa38509af3b39fcc253883ba6752902b21ed1a8002f35a252f3983e7f0db

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T22:49:42.306443Z digest=sha256:1890a348c91b731fe04671da5f79d7d84d1160f693bf4fb1a8096d8d34af2cd8

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:e2f9e9b3dd69d55a368320e37b33766c56769da011d080142921406c74e1163d