Paper Citation Record · LEDGER

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces

As of 21 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2501.10565.

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

pith.paper-citation-record.v1
2501.10565 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:16:17.846969Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:34:29.806192Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact7
verified fuzzy27
unresolved9
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4f12faa9-2ae7-4fd5-bde4-0cf1f8e4827c · outbound

This paper cites Alonso, Existence of global solutions to the Cauchy problem for the i nelastic Boltzmann equation with near- vacuum data , Indiana University Mathematics Journal Vol.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Alonso, Existence of global solutions to the Cauchy problem for the i nelastic Boltzmann equation with near- vacuum data , Indiana University Mathematics Journal Vol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.508994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d27a3b73-2407-43c7-84ba-f72b8abdfbb2 · outbound

This paper cites Alonso, I.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Alonso, I

Reference 2

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T19:16:17.949529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3df82c72-ded4-4846-9b4d-3764ba178f72 · outbound

This paper cites Ampatzoglou, Global well-posedness and stability of the inhomogeneous k inetic wave equation near vacuum , Kinet.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, Global well-posedness and stability of the inhomogeneous k inetic wave equation near vacuum , Kinet

Reference 3

Resolution: verified exact; doi, observed 2026-08-10T19:16:17.938393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59489ea6-5dbd-45ce-925d-249e03872ddd · outbound

This paper cites Ampatzoglou, Higher order extensions of the Boltzmann equation, Ph.D.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, Higher order extensions of the Boltzmann equation, Ph.D

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.499326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 22addf3f-3b82-4d08-a152-ea39a29be8b2 · outbound

This paper cites Ampatzoglou, C.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.489138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb4d6800-99c0-4309-9bd0-c12dac37e364 · outbound

This paper cites Ampatzoglou, I.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, I

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T19:16:17.925743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 077a1f87-2786-40eb-9b1c-5b6a2e8edd3b · outbound

This paper cites Ampatzoglou, T.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, T

Reference 7

Resolution: verified exact; raw_fallback, observed 2026-08-10T19:16:18.210910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7e11ad20-cb74-4032-921c-bd07d690dbc3 · outbound

This paper cites Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Inhomogeneous wave kinetic equation and its hierarchy in polynomially weighted $L^\infty$ spaces

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:16:18.017292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 44f65d23-0308-4586-9c64-9d61d8254e8a · outbound

This paper cites Ampatzoglou, N.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Ampatzoglou, N

Reference 9

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T19:16:17.914269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 99d1f4f8-f9ec-4dcd-a426-60a91be88b70 · outbound

This paper cites Banks, T.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Banks, T

Reference 10

Resolution: verified exact; doi, observed 2026-08-10T19:16:17.902489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 494e5308-f3f4-4279-a1cb-e20a5d515d6c · outbound

This paper cites Bardos, I.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Bardos, I

Reference 11

Resolution: verified exact; doi, observed 2026-08-10T19:16:17.890557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 265c2ff4-7a89-44f1-970a-9a9bf155533c · outbound

This paper cites Bellomo, G.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Bellomo, G

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.479965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b4d3ee42-04e1-4ed5-963b-11d5800919b6 · outbound

This paper cites Benney, A.C.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Benney, A.C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.470534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a13fb811-ffe7-402d-a00e-604f35bc0699 · outbound

This paper cites Benney, P.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Benney, P

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.460954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6d6612e6-db1a-4b5d-bdc8-455c887c36d6 · outbound

This paper cites Buckmaster, P.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Buckmaster, P

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.452215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c189c62-7d5a-40bb-bce2-b63edf0a1cab · outbound

This paper cites Bortolozzo, J.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Bortolozzo, J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.443396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 46f8adc1-231e-4782-8fdb-ad19a19dec01 · outbound

This paper cites Cazenave, Semilinear Schr¨ odinger equations.Courant Lecture Notes in Mathematics, 10.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Cazenave, Semilinear Schr¨ odinger equations.Courant Lecture Notes in Mathematics, 10

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.434367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fea6cc82-c938-4ae3-be9a-60f51aa54ba4 · outbound

This paper cites On the derivation of the homogeneous kinetic wave equation.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces On the derivation of the homogeneous kinetic wave equation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.747636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98a263d2-6593-4a51-8b6a-568977289f7e · outbound

This paper cites Derivation of the homogeneous kinetic wave equation: longer time scales.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Derivation of the homogeneous kinetic wave equation: longer time scales

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.751897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8ce3369e-d636-4399-8ff5-573e779175f7 · outbound

This paper cites an unresolved cited work.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:16:18.414505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 27e8318e-a443-4d30-a7c1-d1bfa4803156 · outbound

This paper cites an unresolved cited work.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:16:18.404755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 64d9f992-dbf5-42da-b88d-3668e9869506 · outbound

This paper cites Propagation of chaos and the higher order statistics in the wave kinetic theory.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Propagation of chaos and the higher order statistics in the wave kinetic theory

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.763101Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1a08b15-b207-4e1c-b76a-2dca5b7b2261 · outbound

This paper cites Long time justification of wave turbulence theory.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Long time justification of wave turbulence theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.767253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f6d1f5e2-ed72-47a0-9b12-71f20c9152a5 · outbound

This paper cites Galeev, R.Z.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Galeev, R.Z

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.394137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c0647564-881e-4df3-afda-b74561a57083 · outbound

This paper cites Gel’fand, G.E.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Gel’fand, G.E

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.385199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 03455944-82f7-447f-a88a-eefbec4a9a03 · outbound

This paper cites Germain, A.D.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Germain, A.D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.376085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74207929-e5ee-4aa6-ba41-3daec1013635 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.783947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed6a3238-ad07-42bb-b404-fea1dee90842 · outbound

This paper cites Hasselmann Onthe nonlinear energy transfer in the gravity wave spectru m J.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Hasselmann Onthe nonlinear energy transfer in the gravity wave spectru m J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.365551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 05fbd691-6f3f-423d-a33f-2a2c0ebfcf3f · outbound

This paper cites Illner, M.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Illner, M

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.355622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bd066360-f699-4b91-b7c8-34033ad8490c · outbound

This paper cites Kaniel, M.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Kaniel, M

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.346232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d3ee858f-e75f-401f-827c-89c779ce1115 · outbound

This paper cites Kozik, B.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Kozik, B

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.335855Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2fc1730a-05da-45d2-8f83-4cadc77a4fb6 · outbound

This paper cites Mouhot, L.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Mouhot, L

Reference 32

Resolution: verified exact; doi, observed 2026-08-10T19:16:17.878977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9b15d082-7c3b-4da4-afed-4ddc82f08756 · outbound

This paper cites Nazarenko, Wave Turbulence.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Nazarenko, Wave Turbulence

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.326683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7613ea2-6f8b-4d11-88b5-f068f0202a7c · outbound

This paper cites Palczewski, G.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Palczewski, G

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.316324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ee44e57-45a5-4a64-bc1e-1f296a51319e · outbound

This paper cites Peierls, Zur kinetischen Theorie der W¨ armeleitung in Kristallen : Annalen Physik 3, 1055, 1929.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Peierls, Zur kinetischen Theorie der W¨ armeleitung in Kristallen : Annalen Physik 3, 1055, 1929

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.306341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1988f854-d983-4ded-9148-9a6f8c484675 · outbound

This paper cites Spohn The phonon Boltzmann equation, properties and link to weakl y anharmonic lattice dynamics.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Spohn The phonon Boltzmann equation, properties and link to weakl y anharmonic lattice dynamics

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.296380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e959be3d-acd6-44d2-b9ba-3a35f80a16d5 · outbound

This paper cites On the wave turbulence theory for a stochastic KdV type equation.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces On the wave turbulence theory for a stochastic KdV type equation

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T19:16:17.820862Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 739ed9df-5d89-47ed-881e-770ac76f7755 · outbound

This paper cites an unresolved cited work.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:16:18.284154Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3811228b-f3eb-4c90-bc26-2c651dc717f6 · outbound

This paper cites de Suzzoni, Singularities in the weak turbulence regime for the quintic Schr¨ odinger equation, Doc.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces de Suzzoni, Singularities in the weak turbulence regime for the quintic Schr¨ odinger equation, Doc

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.274610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff3885a3-36a2-4b3a-aea2-00bbdcecf006 · outbound

This paper cites Toscani, Global solution of the initial value problem for the Boltzma nn equation near a local Maxwellian , Arch.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Toscani, Global solution of the initial value problem for the Boltzma nn equation near a local Maxwellian , Arch

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.263719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3a53679-5012-4978-a914-d892a202ff2d · outbound

This paper cites Toscani, N.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Toscani, N

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.253033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation be7e10e9-0661-4e7a-b736-611839651c74 · outbound

This paper cites Vedenov, Theory of Weakly Turbulent Plasma.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Vedenov, Theory of Weakly Turbulent Plasma

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.241882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation abfac272-3c27-4b61-84ae-a2feafe26135 · outbound

This paper cites Zakharov, Weak Turbulence in media with decay spectrum , J.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Zakharov, Weak Turbulence in media with decay spectrum , J

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.231607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b52529ec-449f-4190-b79c-49655c5ca08a · outbound

This paper cites Zakharov, V.S.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces Zakharov, V.S

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.221665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1b4285bf-6e7a-43fa-aaed-a064006bcbb7 · outbound

This paper cites ISBN: 0-8218-3399-5.

Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces ISBN: 0-8218-3399-5

Reference 2003

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:16:18.424501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 8d0db2ec-5d7d-420e-8ebb-9174f00667bd · inbound

On the optimal local well-posedness of the wave kinetic equation in $L^r$ cites this paper.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-03T21:34:29.806192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.