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Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2608.00603.

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

pith.paper-citation-record.v1
2608.00603 v1

Coverage vector

measured 46 of 46 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-05T00:38:16.818874Z

measured 46 of 46 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

46 of 46 outbound references displayed

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  • verified fuzzy15
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External citation measurements

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Outbound references

Observation 6390d0ce-fc7e-4ea1-8739-ced735de982a · outbound

This paper cites The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature

Reference 1

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

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

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

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Observation 2872eeac-4630-4ff9-a4b1-a363f5462a00 · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 3

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Observation b8ec186c-d99e-43bc-b8b8-7a4f0781207c · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-05T00:38:12.372635Z digest=sha256:4e25831e78a48d95c6b8e7cd142afa77c267314e7afc5d9a672df49f85ae0f8f

Observation 75a24b80-73b7-4c6d-88af-5a2649f39d42 · outbound

This paper cites Cort´ es and M.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Cort´ es and M

Reference 5

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Observation e992ff9e-dbf2-420c-b255-767dde811927 · outbound

This paper cites Craciun and M.-B.

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

Reference 6

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Observation 9ff094df-5d74-47d3-863b-b752006beec2 · outbound

This paper cites Das and M.-B.

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

Reference 7

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Observation 56ad44d5-b2e5-4116-b278-14046ae55900 · outbound

This paper cites On the derivation of the wave kinetic equation for NLS.

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

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source=pdf_text observed=2026-08-05T00:38:12.781913Z digest=sha256:2fba42e1a4980cbbe69650c1c57541809bf609d86b33503a2cdcbb94d6387c14

Observation 011f435a-46eb-4668-b19d-e29d9042ac6c · outbound

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

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Propagation of chaos and the higher order statistics in the wave kinetic theory

Reference 9

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source=pdf_text observed=2026-08-05T00:38:12.960322Z digest=sha256:28e05cf6732989de3049d6c7c15b8b08d101ca252894ec2e5e68ae037e124d6b

Observation 7c0a4043-1a6b-4369-aced-4adafeaf53fa · outbound

This paper cites Full derivation of the wave kinetic equation.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Full derivation of the wave kinetic equation

Reference 10

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source=pdf_text observed=2026-08-05T00:38:13.034452Z digest=sha256:4b7705456c538a1866fc1160375bf915e8ac388bdf099f8580a6cfc60c601c85

Observation ea638547-c598-45fa-980a-1000ec910b5b · outbound

This paper cites Long time justification of wave turbulence theory.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Long time justification of wave turbulence theory

Reference 11

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source=pdf_text observed=2026-08-05T00:38:13.162994Z digest=sha256:d5713f9fe37543548ea3f746bd907cf80a3733c162172e0e9ab3facaa8cf6866

Observation 11b793cb-f7b5-4f98-8650-643978081097 · outbound

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

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Derivation of the wave kinetic equation: full range of scaling laws

Reference 12

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Observation 1d88ed83-13ed-45d8-9479-a6c66fd3873e · outbound

This paper cites Escobedo.

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

Reference 13

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Observation 31c0f445-82bc-487f-9134-54ccda464fd1 · outbound

This paper cites Escobedo.

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

Reference 14

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Observation caeaa208-5163-4b89-9414-2f21a04d4948 · outbound

This paper cites Escobedo, F.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Escobedo, F

Reference 15

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Observation 768b7c83-4552-4035-bf4a-bf28bc1f7805 · outbound

This paper cites Escobedo and M.-B.

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

Reference 16

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Observation a954155d-d8c7-4cf8-82d4-fb35240a65ca · outbound

This paper cites Filbet, C.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Filbet, C

Reference 17

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Observation cf3c65a8-e924-4cf1-95f1-e28c6f8380a7 · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 18

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Observation 1eb0a07f-f79e-4501-a325-6666d8128bae · outbound

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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 19

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Observation 0ff7b3a2-8d6d-47fa-b64c-58e63c33ae44 · outbound

This paper cites Hasselmann.

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

Reference 20

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source=pdf_text observed=2026-08-05T00:38:14.157330Z digest=sha256:b3257eaa4282d19c8f6c48d94472894e8fde04b9169bf049c8b5ff7a09e13e81

Observation 24935045-57e7-48f4-a687-ba62971f115b · outbound

This paper cites Hasselmann.

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

Reference 21

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Observation b3479edd-5e00-492d-8243-4dea81df3d27 · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 22

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Observation e8b7d919-ec2b-4bfa-9efa-7515e6500877 · outbound

This paper cites Mouhot and L.

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

Reference 23

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Observation eb8b17d1-ebb0-4941-b0d5-6aba171bbaae · outbound

This paper cites Munaf` o, J.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Munaf` o, J

Reference 24

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Observation 953396a3-a8a0-4794-9115-a114b4abe7d0 · outbound

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

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Nazarenko.Wave turbulence, volume 825 ofLecture Notes in Physics

Reference 25

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Observation 912d0b08-792c-4873-8606-70f074b9f3e1 · outbound

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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 26

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Observation ba78d71d-d95c-4297-be05-cc1f2074ece6 · outbound

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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-05T00:38:15.031758Z digest=sha256:02831531dfa05046c2ea906a1c91a409e0adaaff0aa7f43c28ad1f44e90bcba5

Observation 410b19c5-7579-4701-bcda-c1f8ac3b06ea · outbound

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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 28

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Observation 3d332ddc-121e-4ea4-a60b-99d1322ab96f · outbound

This paper cites Pareschi and G.

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

Reference 29

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Observation c1d7afb9-b5d2-4e05-a7c7-12987d8a24d5 · outbound

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Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 30

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source=pdf_text observed=2026-08-05T00:38:15.296820Z digest=sha256:0772a95703054278930e2de6c608f525d119b08732fd529d7456cabba7608ac0

Observation a9725b42-f9ef-4a1c-8ecc-2a1f25a9fb2d · outbound

This paper cites Pomeau and M.-B.

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

Reference 31

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Observation 55750c8e-809e-4dfd-acf4-60db6c0d4f27 · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 32

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Observation d972e55f-3924-46c6-a914-ddfa94bb1d2a · outbound

This paper cites Rumpf, A.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Rumpf, A

Reference 33

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Observation 2b896a6b-613e-461d-b75e-d92e7432a8c8 · outbound

This paper cites Soffer and M.-B.

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

Reference 34

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Observation 814bea11-9b65-4c3d-82f7-a6bcc4b3d7bb · outbound

This paper cites Soffer and M.-B.

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

Reference 35

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:15.735052Z digest=sha256:0c716c5177bfd57aa1c924b496f70599e67d8bded7020c4dd921c266d6a4a13a

Observation 20db186e-ec1e-444a-837b-a3be7a347cd4 · outbound

This paper cites Staffilani and M-B.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Staffilani and M-B

Reference 36

Resolution
verified exact
raw_fallback, observed 2026-08-05T00:38:17.420933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:15.812344Z digest=sha256:ce2475f73a92d615e0873748d8066359e31b07ec4c37cb231bf56ce3caca2986

Observation d28e3ffe-17e2-44a5-9887-fc317155c637 · outbound

This paper cites Staffilani and M.-B.

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

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:15.905859Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:15.905859Z digest=sha256:59f55d7569a6f8b3cb61255a3c665653c04c43c77cc7aeae88391f94dd9c3921

Observation b597552f-e9b9-478e-b092-755cec717b27 · outbound

This paper cites Formation of condensations for non-radial solutions to 3-wave kinetic equations.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Formation of condensations for non-radial solutions to 3-wave kinetic equations

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:15.964465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:15.964465Z digest=sha256:d75e9e1e9e625fd052168254d047f18abc7c6af4129a7bf883d886553f6c92aa

Observation 609901d1-91fb-4d22-908f-bd7dda871dfb · outbound

This paper cites Staffilani and M.-B.

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

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:38:18.777571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:16.061465Z digest=sha256:2aeb4465a7e9a2c170609af923590fea28925aa417c010053b16607b7949d81f

Observation 6fb20f58-965c-4609-9135-d68ced17765a · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:16.181084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:16.181084Z digest=sha256:221fe527b988ac07681783b12b64175499a5757c35d00f32b20e0200c13329cf

Observation 19de2cd4-6f1f-43a2-9bd2-3ed3c13a40a9 · outbound

This paper cites Tran and Y.

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

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:38:18.509248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:16.280081Z digest=sha256:c83b7068227d9a1cfee851e2db3279c4f03c9997d6e6aa800f7d06a971ed8759

Observation 447d19dc-a42e-4fe6-a7b8-fbab2bdccb05 · outbound

This paper cites Walton and M.-B.

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

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:16.366740Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:16.366740Z digest=sha256:986323066b6b7e11aad19f7165aff08f7bb26cd7c74065080f30b5a3bba5bfdc

Observation 81e7ecee-576e-4b27-a91a-f4838a55aa51 · outbound

This paper cites Walton and M.-B.

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

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:38:18.312729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:16.487662Z digest=sha256:0558ffb33897a1bb89369062576d7bd7c87ab8429a31b3386eae3349624b9462

Observation f1ed221d-764e-4ad2-aafa-16942c300c98 · outbound

This paper cites Walton, M.-B.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Walton, M.-B

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T00:38:18.154596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:16.564472Z digest=sha256:6f28b104c58cb78a98ed4b345ddead2f11f4f7a7f8179fb03dfb76f189682728

Observation 9714dfa2-b1cf-4242-b761-3566ced4022a · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-05T00:38:16.676512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T00:38:16.676512Z digest=sha256:bb9f639c3e8d177b5c3ff25b4ed00cefacc0a460483dcffbbb670a928c0a13a9

Observation 295d832e-8880-4c3f-a28f-443282e1b96b · outbound

This paper cites an unresolved cited work.

Spectral Algorithms for 3-Wave Kinetic and $C_{12}$ Quantum Boltzmann Equations with General Resonance Manifolds in $\mathbb{R}^d$ Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-05T00:38:17.896756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-05T00:38:16.818874Z digest=sha256:738c13ed89433b1e79892c1b1cce95d9292f0d228091d724dba70b0f69cde004

Pith citing papers

No inbound Pith citation observations are available.