Pith. sign in

Paper Citation Record · LEDGER

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

As of 10 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 4 inbound Pith citation observations for arXiv:2509.03432.

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

pith.paper-citation-record.v1
2509.03432 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:01:35.962053Z

measured 40 of 40 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:38:12.159940Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T20:27:36.707827Z

Reference resolution

36 of 36 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved19
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 591a3402-22f4-4aec-ba57-991345ca97ce · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 1

Resolution
unresolved
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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.

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Observation d5c6670a-c2fa-461c-9095-becbcdd833f9 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 2

Resolution
unresolved
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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.

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Observation e3be9cc7-3e9d-4750-8257-ba8fccfdcc23 · outbound

This paper cites Lannes, The Water Waves Problem: Mathematical Analysis and Asymptotics, American Mathematical Society, Philadelphia, 2013.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Lannes, The Water Waves Problem: Mathematical Analysis and Asymptotics, American Mathematical Society, Philadelphia, 2013

Reference 3

Resolution
verified fuzzy
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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.

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Observation a441f166-b0d8-47c3-b00c-c0efef7b4b98 · outbound

This paper cites Galtier, Physics of Wave Turbulence, Cambridge University Press, Cambridge, 2022.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Galtier, Physics of Wave Turbulence, Cambridge University Press, Cambridge, 2022

Reference 4

Resolution
verified fuzzy
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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.

source=pdf_text observed=2026-08-05T11:01:35.519970Z digest=sha256:aa1810eae9acaf5d74888412dca562a9fb4d658b87e4aea9dd6d0e7732b09ae4

Observation 475516c8-e743-4bde-a6b5-b791322908b1 · outbound

This paper cites Agrawal, Fiber-Optic Communication Systems, Wiley, Hoboken, 2019.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Agrawal, Fiber-Optic Communication Systems, Wiley, Hoboken, 2019

Reference 5

Resolution
verified fuzzy
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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.

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Observation e9210c01-4a9b-4b8c-9cfb-86624850e4b3 · outbound

This paper cites Drazin, R.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Drazin, R

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.291121Z

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.

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Observation 411fb430-25df-45a4-9d43-963c180935b4 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 7

Resolution
unresolved
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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.

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Observation 2416d2e1-d20a-4437-b6e3-02c91e6cab52 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.273193Z

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.

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Observation 75e55c5b-3021-4d12-b934-5c55d672c919 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.263427Z

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.

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Observation 5207cb72-21b0-464a-8aef-ff284b5005ff · outbound

This paper cites Bodineau, I.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Bodineau, I

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.254146Z

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.

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Observation 60e9dfbd-d2a5-44eb-96d9-831c20dbc3d0 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.244317Z

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.

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Observation 496fcc0d-ec85-42d0-b65e-962d450010a3 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 12

Resolution
unresolved
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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.

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Observation 11475a37-1881-4bc4-aac5-656cbc12309b · outbound

This paper cites Nazarenko, Wave Turbulence (Lecture Notes in Physics, Vol.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Nazarenko, Wave Turbulence (Lecture Notes in Physics, Vol

Reference 13

Resolution
verified fuzzy
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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.

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Observation 1bfefd19-5dc1-4311-932f-144a08c2a13a · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 14

Resolution
unresolved
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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.

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Observation 28170686-755d-48b7-842d-ccdb4de466ec · outbound

This paper cites Buckmaster, P.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Buckmaster, P

Reference 15

Resolution
verified fuzzy
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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.

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Observation d89ce68e-c2a7-421d-921d-f9147eb7b2e7 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.196567Z

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.

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Observation 1a2036e1-0452-4de4-8323-dc7fffdc72d7 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 17

Resolution
unresolved
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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.

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Observation cfe228d9-f846-4593-86ba-0d6a484ba66f · outbound

This paper cites Pan, Understanding of weak turbulence of capillary waves, Ph.D.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Pan, Understanding of weak turbulence of capillary waves, Ph.D

Reference 18

Resolution
verified fuzzy
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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.

source=pdf_text observed=2026-08-05T11:01:35.903660Z digest=sha256:94305317fdf75df626e3e7994871b9470117eae587513da2f32a682dbeccfc64

Observation cdf6bc23-692a-440d-a0f5-a2bcc6c25573 · outbound

This paper cites Webb, Non-linear transfers between sea waves, Deep Sea Research 25 (3) (1978) 279–298.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Webb, Non-linear transfers between sea waves, Deep Sea Research 25 (3) (1978) 279–298

Reference 19

Resolution
verified fuzzy
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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.

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Observation a6bc614e-a28e-4f99-bbfd-3a02f5001fa6 · outbound

This paper cites Resio, W.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Resio, W

Reference 20

Resolution
verified fuzzy
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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.

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Observation 1737fe5d-b97b-4e0f-aa82-63a2b9cddd9b · outbound

This paper cites WavKinS.jl : an efficient and modular Julia software for solving wave kinetic equations.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D WavKinS.jl : an efficient and modular Julia software for solving wave kinetic equations

Reference 21

Resolution
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation a9834934-e4fc-4d12-80c9-d767616a8d6a · outbound

This paper cites Walton, M.-B.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Walton, M.-B

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.149280Z

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.

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Observation 3d99cf85-d643-43d5-97c1-75ac53225088 · outbound

This paper cites Walton, M.-B.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Walton, M.-B

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.139052Z

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.

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Observation fabf2c83-1130-4a62-bc1a-eb8b0b896ef5 · outbound

This paper cites Engquist, A.-K.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Engquist, A.-K

Reference 24

Resolution
verified fuzzy
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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.

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Observation 5826a6a9-3e7c-4257-951e-307c762b6301 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 25

Resolution
unresolved
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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.

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Observation e602d23b-1fde-42f6-a7b8-48765f005000 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 26

Resolution
unresolved
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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.

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Observation d9e2efcb-56c7-43e2-8219-0615a01840eb · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.100435Z

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.

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Observation 9e568d1b-75af-4b10-b92d-fa170d09343b · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.089684Z

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.

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Observation 3b66f35c-a521-4923-935a-4558325030ea · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.079078Z

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.

source=pdf_text observed=2026-08-05T11:01:35.939083Z digest=sha256:ccd6e6f8f0afea5c4c1e39f90082aff94cdd0b6075fdeba488f6e0d49c6b9cb0

Observation 6b43b5e2-49ff-4909-9743-2eef541f1f0d · outbound

This paper cites Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, Cambridge, 1996.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Fornberg, A Practical Guide to Pseudospectral Methods, Cambridge University Press, Cambridge, 1996

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.069225Z

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.

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Observation 2ddd24d6-b877-4ceb-96cb-406735c30ffb · outbound

This paper cites Fornberg, Classroom note: Calculation of weights in finite difference formulas, SIAM Rev.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Fornberg, Classroom note: Calculation of weights in finite difference formulas, SIAM Rev

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.058282Z

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.

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Observation 165340a9-3450-4020-8314-bc353043d3c3 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.034800Z

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.

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Observation fb0f8437-95a8-4798-848d-5ccd4bf15230 · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.046732Z

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.

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Observation fc2cb8b2-7a47-4dc7-948d-a9d54b29c841 · outbound

This paper cites dt+ c.c.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D dt+ c.c

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.024574Z

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.

source=pdf_text observed=2026-08-05T11:01:35.955444Z digest=sha256:767817c35c61e039939af8427cdc02b5fcd56015f63132ce3224af5dee40b5cb

Observation 3ce4e05f-bb43-462a-9308-01ad8892b47c · outbound

This paper cites an unresolved cited work.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:01:36.014871Z

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.

source=pdf_text observed=2026-08-05T11:01:35.958679Z digest=sha256:d6a546eeea3e545414420b716360becd6615e9e93f308751f5e880f485661ccb

Observation 9883d554-3504-48a2-91d5-a0e93cbd5633 · outbound

This paper cites dt+ c.c.

A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D dt+ c.c

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:01:36.003894Z

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.

source=pdf_text observed=2026-08-05T11:01:35.962053Z digest=sha256:7b7a0d21539c608a6ac3dfe9f6a173b0474028713acc614e8a8981556533d977

Pith citing papers

Observation ba4f8876-51fb-455a-a0fb-de14d758e658 · 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 A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-12T06:41:44.475175Z

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.

source=pdf_text observed=2026-05-12T04:02:02.745526Z digest=sha256:974e56d06fe826ee54ac45fb5328901e611128107eb24e1819ef15806ca66cb9

Observation 7fe0a656-5403-434f-b124-a1a6cdbb6980 · 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 A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-02T14:27:29.807511Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:27:29.807511Z digest=sha256:56dde9a66908e602b383385cc8b9937e55b4bb3d64c604bb0d0669230a07a724

Observation 7dfb4dc0-d9ba-4116-b4f2-b6129204006b · inbound

Global time-analytic strong solutions for a class of 3-wave kinetic equations cites this paper.

Global time-analytic strong solutions for a class of 3-wave kinetic equations A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-10T20:27:36.709223Z

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.

source=pdf_text observed=2026-07-10T20:18:35.375912Z digest=sha256:0cf4caed9b90f3d93172a136a87204f01e4565a5ebfcff3f5186b163cbc14ae8

Observation 2f55813e-49eb-4d56-866a-af421c479b59 · inbound

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ cites this paper.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:12.159940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:12.159940Z digest=sha256:573a344e7e1b55196bc9a37706e223d3aa931715f0e53e8e67a3f4d175d04799