Pith. sign in

Paper Citation Record · LEDGER

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

As of 9 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2511.15587.

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

pith.paper-citation-record.v1
2511.15587 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:34:29.897081Z

measured 33 of 33 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T14:27:29.572048Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-12T06:41:44.498507Z

Reference resolution

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved31
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f7deb75-37b9-4b30-80f2-81e467c23ccc · outbound

This paper cites Alonso, E.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Alonso, E

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.090519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.090519Z digest=sha256:b17df457b9fd398c1b7650a253669d5bffdb00e1d7eca682eda03565501a0dc8

Observation 284907e7-2954-4c14-8975-d06aff0a544d · outbound

This paper cites Alonso, E.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Alonso, E

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.126136Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.126136Z digest=sha256:f33e89a7844652900f25966714f2256b526267c2aa8e7683d9cd05dbadf71d05

Observation a5cf6318-ad1e-4d22-923b-d28707ab21ff · outbound

This paper cites Ampatzoglou,Global well-posedness of the inhomogeneous wave kinetic equation near vacuum, Kinet.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou,Global well-posedness of the inhomogeneous wave kinetic equation near vacuum, Kinet

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.211927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.211927Z digest=sha256:af64d1911d1436f116d79e6f1c9d24ae6c82798451fdbb7825fdb7c0217999c8

Observation dfba94ac-fdc4-45f4-927e-f4b3187ed050 · outbound

This paper cites Scattering theory for the Inhomogeneous Kinetic Wave Equation.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Scattering theory for the Inhomogeneous Kinetic Wave Equation

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.285727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.285727Z digest=sha256:85943da8f85237e57005be8258ca54cf575663e4468850bf37dc24d731e278e6

Observation 82c46e47-5281-4500-aefa-46f3f6cd3dbe · outbound

This paper cites Ampatzoglou, T.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, T

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.338388Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.338388Z digest=sha256:0a64a60827ae61fb8acb6ef4172dc456df6033960cc6aa00ecc35b11f370e763

Observation 96c186ee-a390-4ce9-94d3-0a71cb0f95ea · outbound

This paper cites Ampatzoglou, T.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, T

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.424114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.424114Z digest=sha256:3648228fd53564b20effd79adac3a27e62c6b8ba90632d3de79db78ee2a2580a

Observation d530629a-bca9-45ed-956f-4ab66caf29c5 · outbound

This paper cites Ampatzoglou, J.K.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Ampatzoglou, J.K

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.494957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.494957Z digest=sha256:d0659cda6fef82912157ffca91d27fdef6192f3362289bd47e27f0a3db8a48cc

Observation 8dfef327-943b-4e2a-86b8-b188c500b958 · outbound

This paper cites Arsenio,On the global existence of mild solutions to the Boltzmann equation for small data inL D, Comm.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Arsenio,On the global existence of mild solutions to the Boltzmann equation for small data inL D, Comm

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.574906Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.574906Z digest=sha256:4f3a1c4b72cbf2f082efb2a3b4ee5fd8a04230a0e4346328a6a2b4e8dea8fba9

Observation 61c90a0b-0a31-4958-8421-4c794fdb8734 · outbound

This paper cites Bobylev,Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules, Dokl.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Bobylev,Fourier transform method in the theory of the Boltzmann equation for Maxwellian molecules, Dokl

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.622085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.622085Z digest=sha256:97773dcfd3f447b588d4a3329d4dc7f0c0cee8cfb817c21ad323a62c4633ab6c

Observation 7849f2a9-994f-4d3d-8598-662f741a203b · outbound

This paper cites Bobylev,The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Sov.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Bobylev,The theory of the nonlinear spatially uniform Boltzmann equation for Maxwell molecules, Sov

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.683483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.683483Z digest=sha256:f45eb3c0e933031842af435a39d5ae1e8213975ea0fc440f6e421fb73ae14434

Observation 3e4b0333-6ca1-42b6-81bb-01d4e981b356 · outbound

This paper cites Buckmaster, P.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Buckmaster, P

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.741594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.741594Z digest=sha256:5191bc55e0f3a13113d2d0e0ca6f8b725ff5dfdbad61ef7d9f8ad557e82c0f15

Observation 24d9da67-0b65-4f07-abe5-f79f4304c25c · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ On the derivation of the homogeneous kinetic wave equation

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:27.848958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:27.848958Z digest=sha256:417a58012c8e842d7d22b811273b84c305d117c3ba2520e202e6609db1c9fcdd

Observation 49e52229-4c6f-4752-bea2-0fea38f1adde · outbound

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

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Derivation of the homogeneous kinetic wave equation: longer time scales

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.007256Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.007256Z digest=sha256:5611be71581fe179114748be44fef8870b817e4ab4ad240a85bc43c3aa2c9b12

Observation 178a4f2e-7e5a-48c2-804e-9aad0ec564a2 · outbound

This paper cites Collot, H.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Collot, H

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.057222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.057222Z digest=sha256:4c989d441da0cc2dca759766e3f0c711f73315f840c49b3612adf14e1ff3d27e

Observation b882fc40-05b6-4793-9b91-de27a7181517 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.170899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.170899Z digest=sha256:359a75e4e4d1bd82527ac67f8da40b97e2d2c0d01b2d09104bfda1f230c97c77

Observation b6a2c499-e1e2-49f3-b9c8-6363501ad477 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.282853Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.282853Z digest=sha256:09a25b60d03752f3a239fc6ef0d68037acbb124c67975bdf72c6f38f1c57274f

Observation a5bdec36-660b-4176-987c-ec4352858930 · outbound

This paper cites Long time justification of wave turbulence theory.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Long time justification of wave turbulence theory

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.417413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.417413Z digest=sha256:1d152a2eef1400b71e9350ad39bda3bbf2fe312f6997f425c43784c1e9f3d05a

Observation ec3e3a49-8f9c-4981-b96a-f187c00e801c · outbound

This paper cites Long time derivation of the Boltzmann equation from hard sphere dynamics.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Long time derivation of the Boltzmann equation from hard sphere dynamics

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.529948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.529948Z digest=sha256:2d4bfec41cebeee8c76946ebb99d25beaec65e92fea7e1a8c1947625061d77d6

Observation f615c257-88ff-4b34-b4fe-88537d363ca1 · outbound

This paper cites Instability of singular equilibria of a wave kinetic equation.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Instability of singular equilibria of a wave kinetic equation

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.663254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.663254Z digest=sha256:5d7930d05681d7d15bf564f9cecbece48fe5b070dae8e25afb2a0838ed4946d8

Observation 5e5b4c68-6930-45c7-bdf4-dfaa1192b887 · outbound

This paper cites Escobedo, J.J.L.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Escobedo, J.J.L

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.777038Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.777038Z digest=sha256:82acd8a80ed51463979fbb17a99a5feaac1cae46ba29e27d0366dc005faaee18

Observation f66a3396-f015-45b0-8084-26652b02c0bc · outbound

This paper cites Germain, A.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Germain, A

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.884141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.884141Z digest=sha256:26c76eb75de31c58804759a0eb6af344ef89a052a925d9af2e6dd62bcf15d7cd

Observation 81dd032a-71bb-4946-831f-3b982aad04b3 · outbound

This paper cites Gustafsson,L p-estimates for the nonlinear spatially homogeneous Boltzmann equation,Arch.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Gustafsson,L p-estimates for the nonlinear spatially homogeneous Boltzmann equation,Arch

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:28.998145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:28.998145Z digest=sha256:53ce5a39ca2518313c803b3f2c40afa77a1da5ac957f7a8e813ca1a5e0616222

Observation df358dd1-c6b5-4abc-ae35-3da5cdcc4c6b · outbound

This paper cites Gustafsson,GlobalL p-properties for the spatially homogeneous Boltzmann equation,Arch.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Gustafsson,GlobalL p-properties for the spatially homogeneous Boltzmann equation,Arch

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.107975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.107975Z digest=sha256:5bbceb816c615f858874229c38de9f08649ca2b7a53fe166958c89e4c4e405f1

Observation dba47cf6-d183-43d3-9ad2-dcfeeb511bdc · outbound

This paper cites Hasselmann,On the non-linear energy transfer in a gravity-wave spectrum.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Hasselmann,On the non-linear energy transfer in a gravity-wave spectrum

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.222280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.222280Z digest=sha256:17c546e91151fc30d06b7701329d3de0fb41bb237da9538a6a83062864da77b0

Observation 899fdae8-5077-47be-b1ee-eb5ac8f018a7 · outbound

This paper cites Hasselmann,On the non-linear energy transfer in a gravity wave spectrum.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Hasselmann,On the non-linear energy transfer in a gravity wave spectrum

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.341685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.341685Z digest=sha256:582d8be872e4ac5b756fc8d7479cd8367c9d38926a8e421f3beb4922558ff589

Observation b37f0a94-689f-48be-8dea-2b5158776d46 · outbound

This paper cites Illner, M.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Illner, M

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.470794Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.470794Z digest=sha256:30a1a4d9e19215943e98b91147656fbaec17763bc391420ce3f4fe43a0030e06

Observation cffe3a56-b2a7-4827-ba2b-9b9132db3316 · outbound

This paper cites Kaniel, M.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Kaniel, M

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.557703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.557703Z digest=sha256:30d67072e3b61cc686f06a0885ebd145859acf9e933df838f9218a61c995946f

Observation 71ace423-394e-418f-9653-fa6e9135502d · outbound

This paper cites Lanford,Time evolution of large classical systems, Lect.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Lanford,Time evolution of large classical systems, Lect

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.631689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.631689Z digest=sha256:a362935edf6546d914d0ec7323784c27138351d7a1d10623b41906f69044761d

Observation 942ca086-e943-4a7e-b1bf-9316d8bdab24 · outbound

This paper cites Nazarenko,Wave turbulence, Lecture Notes in Physics,825.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Nazarenko,Wave turbulence, Lecture Notes in Physics,825

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.717305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.717305Z digest=sha256:ecc2b4d8271f79d7d80a836fd1391ce834b1ff675dcc2b92970adac6106f70b7

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

This paper cites Inhomogeneous six-wave kinetic equation in exponentially weighted $L^\infty$ spaces.

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.

source=pdf_text observed=2026-08-03T21:34:29.806192Z digest=sha256:b25fd502ee014a32a2d18a14afe8b730312d5d420a7155aed82a1655e3115cd8

Observation 3c9dab61-9b3f-4da8-a034-550c15587949 · outbound

This paper cites an unresolved cited work.

On the optimal local well-posedness of the wave kinetic equation in $L^r$ Unresolved cited work

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-03T21:34:29.897081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:34:29.897081Z digest=sha256:1381e306455ee2c9349f3f6e721e46904a5a597753e166031913f14836fe2377

Pith citing papers

Observation 1385dc97-285c-4798-990f-b3a76f57b86c · inbound

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations cites this paper.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the optimal local well-posedness of the wave kinetic equation in $L^r$

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-06-11T02:08:36.992509Z

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=2026-05-12T04:02:02.745526Z digest=sha256:02f04b236ada5e03146a34def27db55ffe0bde114298a5f608fc0528497f99c6

Observation b022d139-7aa0-4fac-8dc8-3ca403039b02 · inbound

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations cites this paper.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the optimal local well-posedness of the wave kinetic equation in $L^r$

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T14:27:29.572048Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:27:29.572048Z digest=sha256:67f4991e1579230121ce278d43e58569b51f7d6f4315c0ad9dbaf2cc17a9e6c3