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Paper Citation Record · LEDGER

On the derivation of the wave kinetic equation for NLS

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:1912.09518.

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

pith.paper-citation-record.v1
1912.09518 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T00:38:12.781913Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T20:27:36.703078Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c33a865c-305e-40aa-bb22-3b246b86fa04 · 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 derivation of the wave kinetic equation for NLS

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-12T06:41:44.378080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-12T04:02:02.745526Z digest=sha256:4609c6da1e4c7878151963f58e475646d8689694be0bd1d9d3e17cf6df5679ed

Observation 941a55cf-5cbb-4332-98bb-fe2f5136a81d · 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 derivation of the wave kinetic equation for NLS

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-02T14:27:30.869729Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:27:30.869729Z digest=sha256:2a2e39a5dab983c001c21c1e24e58e5f638fcdea1054eb7cb312b2ec3573f7ba

Observation 2b7e6bca-5396-4d37-997d-18a06579d59e · 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 On the derivation of the wave kinetic equation for NLS

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-07-10T20:27:36.704274Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-10T20:18:35.375912Z digest=sha256:3057630286ae52a08d7165002588ba8e554f335fedff81615a52ede6fea91490

Observation 56ad44d5-b2e5-4116-b278-14046ae55900 · 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 $\mathbb{R}^d$ On the derivation of the wave kinetic equation for NLS

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:12.781913Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:12.781913Z digest=sha256:08ef6d403925ebde8cd5d30855b0df6c57c22e472213a9298cc09c7c584706f8