Paper Citation Record · LEDGER

Kinetic approximation for equations of discrete turbulence in the subcritical case

As of 10 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.16488.

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

pith.paper-citation-record.v1
2505.16488 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:08:00.420419Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy25
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b9e0cdd-6552-4e53-9532-6da28b1a3c4a · outbound

This paper cites Bedrossian, A note on cascade flux laws for the stochastically-driven nonlinear Schr¨ odinger equation, Nonlinearity, 37, Paper No.

Kinetic approximation for equations of discrete turbulence in the subcritical case Bedrossian, A note on cascade flux laws for the stochastically-driven nonlinear Schr¨ odinger equation, Nonlinearity, 37, Paper No

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:05.716787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 73a3bec6-0957-4086-8635-2fab1e97aecd · outbound

This paper cites Buckmaster, P.

Kinetic approximation for equations of discrete turbulence in the subcritical case Buckmaster, P

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:05.543116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9a97ece9-0234-42f3-8d49-8045ed1cfbbd · outbound

This paper cites Buckmaster, P.

Kinetic approximation for equations of discrete turbulence in the subcritical case Buckmaster, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:05.336939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 1adfc70b-e61c-450f-8613-70154cf8cc73 · outbound

This paper cites Collot, P.

Kinetic approximation for equations of discrete turbulence in the subcritical case Collot, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:05.196688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 37dcce12-31f0-46c3-81b3-435a4781baca · outbound

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

Kinetic approximation for equations of discrete turbulence in the subcritical case Derivation of the homogeneous kinetic wave equation: longer time scales

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:56.958854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5b724bd8-b7ae-4b04-864d-43c2d98875e1 · outbound

This paper cites an unresolved cited work.

Kinetic approximation for equations of discrete turbulence in the subcritical case Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:08:05.088708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5e2c0c7c-e910-4eb2-8bf1-cf25007d0038 · outbound

This paper cites an unresolved cited work.

Kinetic approximation for equations of discrete turbulence in the subcritical case Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:08:04.953811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 599025c6-c58d-425b-9f8d-c2279c00fd2e · outbound

This paper cites Derivation of the wave kinetic equation: full range of scaling laws.

Kinetic approximation for equations of discrete turbulence in the subcritical case Derivation of the wave kinetic equation: full range of scaling laws

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:57.328060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aad55e39-cb5e-49a5-90ef-466768b99411 · outbound

This paper cites Long time justification of wave turbulence theory.

Kinetic approximation for equations of discrete turbulence in the subcritical case Long time justification of wave turbulence theory

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:57.412492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c53b24e-6150-4d9b-987c-ff46e4fed912 · outbound

This paper cites Dymov, S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Dymov, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.827228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 7fd465d3-0a1f-4168-9c68-ceab85a20652 · outbound

This paper cites Dymov, S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Dymov, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.698297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ee18e63f-645f-43e7-8a14-54d251da4ecd · outbound

This paper cites Dymov, S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Dymov, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.602985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 704de943-c919-46a3-ab9e-cb010abc3a9e · outbound

This paper cites Dymov, S.B.

Kinetic approximation for equations of discrete turbulence in the subcritical case Dymov, S.B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.495162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 204118d7-e322-44f0-a1f6-94b0e13f4cf6 · outbound

This paper cites Dymov, S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Dymov, S

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.377627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f94379f3-13cb-47cf-891c-79a1d846c347 · outbound

This paper cites Erd¨ os, B.

Kinetic approximation for equations of discrete turbulence in the subcritical case Erd¨ os, B

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.242568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 23b25355-875d-4103-9d8a-0f7d70923c51 · outbound

This paper cites Erd¨ os, H.T.

Kinetic approximation for equations of discrete turbulence in the subcritical case Erd¨ os, H.T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.157098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5849b9b9-8fe0-4056-926d-9b97acc28a43 · outbound

This paper cites Faou, Linearized wave turbulence convergence results for three-wave systems , Comm.

Kinetic approximation for equations of discrete turbulence in the subcritical case Faou, Linearized wave turbulence convergence results for three-wave systems , Comm

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:04.042807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c074d717-1635-4be0-98a1-c7f4b1f28008 · outbound

This paper cites an unresolved cited work.

Kinetic approximation for equations of discrete turbulence in the subcritical case Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:08:03.921756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation d36ec57d-8204-4b43-987b-f7b03e7c0cf1 · outbound

This paper cites an unresolved cited work.

Kinetic approximation for equations of discrete turbulence in the subcritical case Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:58.442655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3423e1c-f2c4-4220-a80b-1b7b1a5ec0e1 · outbound

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

Kinetic approximation for equations of discrete turbulence in the subcritical case On the wave turbulence theory for a stochastic KdV type equation -- Generalization for the inhomogeneous kinetic limit

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:58.540383Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01135b03-cfd1-4425-a293-7309bf92e79b · outbound

This paper cites Heath–Brown, A new form of the circle method, and its application to quadratic forms, J.

Kinetic approximation for equations of discrete turbulence in the subcritical case Heath–Brown, A new form of the circle method, and its application to quadratic forms, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:03.820935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 22c919e0-1569-4b78-aba7-0c873abc5700 · outbound

This paper cites Huang, S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Huang, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:03.617864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0ec0d5ef-69e6-43f4-844f-49be076d1357 · outbound

This paper cites Kuksin, A.

Kinetic approximation for equations of discrete turbulence in the subcritical case Kuksin, A

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:03.354722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation ddafdf3a-2b50-4c13-97b1-d49c04d1063f · outbound

This paper cites Kuksin and A.

Kinetic approximation for equations of discrete turbulence in the subcritical case Kuksin and A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:03.105291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 14c290cf-a612-4162-8bb7-41b2cb5b2d00 · outbound

This paper cites Lukkarinen, M.

Kinetic approximation for equations of discrete turbulence in the subcritical case Lukkarinen, M

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:02.800267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 9b451f13-0224-4859-890f-ae7a24a86571 · outbound

This paper cites Lukkarinen, H.

Kinetic approximation for equations of discrete turbulence in the subcritical case Lukkarinen, H

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:02.495421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 995b56d1-9ce5-42e8-bd31-1991d949f427 · outbound

This paper cites Nazarenko, Wave Turbulence, Springer 2011.

Kinetic approximation for equations of discrete turbulence in the subcritical case Nazarenko, Wave Turbulence, Springer 2011

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:02.248172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation c5e0eb20-1ff0-4db9-a11c-ea49b7bf5961 · outbound

This paper cites Newell, B.

Kinetic approximation for equations of discrete turbulence in the subcritical case Newell, B

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.906195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation f7803101-cbb6-4c63-bcff-b31b3e03791d · outbound

This paper cites Peccati, M.S.

Kinetic approximation for equations of discrete turbulence in the subcritical case Peccati, M.S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.722128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 0adab544-f378-47e2-8515-86f2503d9fce · outbound

This paper cites Peierls, On the kinetic theory of thermal conduction in crystals , Selected Scientific Papers of Sir Rudolf Peierls, with commentary, World Scientific, Singapore (1997), 15-48.

Kinetic approximation for equations of discrete turbulence in the subcritical case Peierls, On the kinetic theory of thermal conduction in crystals , Selected Scientific Papers of Sir Rudolf Peierls, with commentary, World Scientific, Singapore (1997), 15-48

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.574894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 788a27f8-d472-4ee9-9547-f07a916b8459 · outbound

This paper cites Shiryaev, Probability, 2nd edition, Springer 1996.

Kinetic approximation for equations of discrete turbulence in the subcritical case Shiryaev, Probability, 2nd edition, Springer 1996

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.388102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation cecc1506-ba7b-4557-ba3e-a0a8f9ae4346 · outbound

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

Kinetic approximation for equations of discrete turbulence in the subcritical case On the wave turbulence theory for a stochastic KdV type equation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T15:07:59.923177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53bbcd6c-02cc-4e9c-bf59-7ee89a70de26 · outbound

This paper cites Wave turbulence for a semilinear Klein-Gordon system.

Kinetic approximation for equations of discrete turbulence in the subcritical case Wave turbulence for a semilinear Klein-Gordon system

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T15:08:00.035219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec6a541a-ef17-4e26-ba5e-cf7de87f5d72 · outbound

This paper cites An algebraic geometry question and wave turbulence.

Kinetic approximation for equations of discrete turbulence in the subcritical case An algebraic geometry question and wave turbulence

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:08:00.663130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 5a51d0ff-5ad3-472d-89f9-43f22e8b7107 · outbound

This paper cites Zakharov, V.

Kinetic approximation for equations of discrete turbulence in the subcritical case Zakharov, V

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.232747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Observation 6c1b468c-d3cc-4867-87d8-343c0471adff · outbound

This paper cites Zakharov, V.

Kinetic approximation for equations of discrete turbulence in the subcritical case Zakharov, V

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:08:01.020537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

Pith citing papers

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