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Paper Citation Record · LEDGER

New invariant surface measures for the cubic Schr\"odinger equation

As of 12 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2502.02162.

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pith.paper-citation-record.v1
2502.02162 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T13:16:36.554638Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

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External citation measurements

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Outbound references

Observation fbe3540a-8f0a-4a16-ad5c-c379c4bdac10 · outbound

This paper cites Intégration géométrique sur l’espace de Wiener.

New invariant surface measures for the cubic Schr\"odinger equation Intégration géométrique sur l’espace de Wiener

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 3e55ed2e-af0d-4bec-80d3-f5d1f261f7f2 · outbound

This paper cites On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions.J.

New invariant surface measures for the cubic Schr\"odinger equation On flows associated to Sobolev vector fields in Wiener spaces: An approach à la DiPerna-Lions.J

Reference 2

Resolution
verified fuzzy
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Source-reported events for the cited work

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

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Observation 1b039398-5b85-4650-80d0-6b386584b22d · outbound

This paper cites Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations.

New invariant surface measures for the cubic Schr\"odinger equation Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.973474Z

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.

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Observation 6e2c4a5c-4ecd-48de-99e0-8678894e7f0a · outbound

This paper cites Periodic nonlinear Schrödinger equation and invariant measures.

New invariant surface measures for the cubic Schr\"odinger equation Periodic nonlinear Schrödinger equation and invariant measures

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.959455Z

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=2026-08-09T13:16:36.447918Z digest=sha256:a290489651f8983e6e17e0eb2ee9f8523ead56ac93ad888a37b015a4f981e697

Observation ef153c34-0a46-4e90-a55e-d17e2fb1e705 · outbound

This paper cites Invariant measures for the2d-defocusing nonlinear Schrödinger equa- tion.

New invariant surface measures for the cubic Schr\"odinger equation Invariant measures for the2d-defocusing nonlinear Schrödinger equa- tion

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-09T13:16:36.452443Z digest=sha256:4b9c43045c99b9fe22b6fd030a8f978193e0bfe85df4d8b42f6ad79df4d86572

Observation a49df01d-04ac-41ca-9f01-2e6245f7f40f · outbound

This paper cites Brereton.

New invariant surface measures for the cubic Schr\"odinger equation Brereton

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.930941Z

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=2026-08-09T13:16:36.456529Z digest=sha256:a161e78f778b6711797264d4debd037ffd95d09c71e0f9a4e16def8c1e6cb537

Observation 6287ee21-5f42-429d-adda-fdd66a236c64 · outbound

This paper cites Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type non- linearity.Stoch.

New invariant surface measures for the cubic Schr\"odinger equation Invariant measures and global well-posedness for a fractional Schrödinger equation with Moser-Trudinger type non- linearity.Stoch

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.916950Z

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=2026-08-09T13:16:36.461288Z digest=sha256:0a058e67ca46bc8fb1e88f042ae3d629d2af1b54b7950f7004e27a4f1c16dffb

Observation 0eb4b9fb-1a41-4b71-8a18-1265f2d81159 · outbound

This paper cites A continuum of invariant measures for the periodic KdV and mKdV equations.

New invariant surface measures for the cubic Schr\"odinger equation A continuum of invariant measures for the periodic KdV and mKdV equations

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:16:36.614767Z

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=2026-08-09T13:16:36.465311Z digest=sha256:233c98281949a4a29c7be990b3c51acdd5c1d01b976b66b093b4631823f28c79

Observation 6117b488-0774-4868-abd5-8bc19d7aef7d · outbound

This paper cites The two-dimensional Euler equation: a statistical study.Comm.

New invariant surface measures for the cubic Schr\"odinger equation The two-dimensional Euler equation: a statistical study.Comm

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.903809Z

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=2026-08-09T13:16:36.469338Z digest=sha256:04132b09530b31d6e0d28a90bd1b5c4fd7ec7f0dc0d92a84154cf754cd6a87ef

Observation 58eba965-f025-4d7e-a20c-1cf26d8fa8fd · outbound

This paper cites an unresolved cited work.

New invariant surface measures for the cubic Schr\"odinger equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-09T13:16:36.890547Z

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=2026-08-09T13:16:36.473212Z digest=sha256:9348a7352e5a0346ee8c211e08d52f9b7b2f0a80d84034441379c8c0df6a71aa

Observation ed8aac65-be27-4fd4-abb0-fdf71ca7c883 · outbound

This paper cites Nahmod, and Haitian Yue.

New invariant surface measures for the cubic Schr\"odinger equation Nahmod, and Haitian Yue

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.877572Z

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=2026-08-09T13:16:36.476893Z digest=sha256:19274c8a8124c930490b3a21cc55671eac8b2292272848599e012d15ead81e12

Observation e7ba6d1a-a532-46dc-a333-6604645649a4 · outbound

This paper cites Faddeev and Leon A.

New invariant surface measures for the cubic Schr\"odinger equation Faddeev and Leon A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.863604Z

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=2026-08-09T13:16:36.480505Z digest=sha256:8d207c6ed9a119c6ad1b0b795ef44659eabef584629379b4844a24f0908d0cfc

Observation ce06dff7-048f-44df-98ec-b01b8a80d9c3 · outbound

This paper cites Measurable functions on Hilbert space.

New invariant surface measures for the cubic Schr\"odinger equation Measurable functions on Hilbert space

Reference 13

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:16:36.484614Z digest=sha256:69173b228f824db27f578732c9b4debee939d7e8072087e13a8c1a4a4bf427b8

Observation 7124559e-7295-495b-b2f9-d69137c35de3 · outbound

This paper cites Sharp well-posedness for the cubic NLS and mKdV inH spRq.

New invariant surface measures for the cubic Schr\"odinger equation Sharp well-posedness for the cubic NLS and mKdV inH spRq

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.840250Z

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=2026-08-09T13:16:36.488464Z digest=sha256:1c7c5e2f0e3e4cd0027403c5f75bc6825eb3b71762b85f23dd1f51b330fa5b72

Observation 14d2364e-dba7-4863-8565-02ae87f5efe3 · outbound

This paper cites Strichartz estimates and global well-posedness of the cubic nls onT2.

New invariant surface measures for the cubic Schr\"odinger equation Strichartz estimates and global well-posedness of the cubic nls onT2

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.827352Z

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=2026-08-09T13:16:36.492316Z digest=sha256:6936ceb7918affc6787cb0df55e2f36e46d04dce4c76fe3aa46d4ce2c03e1cd5

Observation 09211982-df4f-4b78-a03c-0fcec74c3201 · outbound

This paper cites Scale invariant Strichartz estimates on tori and applications.

New invariant surface measures for the cubic Schr\"odinger equation Scale invariant Strichartz estimates on tori and applications

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.814490Z

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=2026-08-09T13:16:36.496081Z digest=sha256:e2bcddf347a36292e4c7a6e5cabdd4377e50498d1ebd397568d5f61b7be310a9

Observation 47bfae3d-5152-406b-a491-60400119e264 · outbound

This paper cites Conserved energies for the cubic nonlinear Schrödinger equation in one dimension.Duke Math.

New invariant surface measures for the cubic Schr\"odinger equation Conserved energies for the cubic nonlinear Schrödinger equation in one dimension.Duke Math

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.801558Z

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=2026-08-09T13:16:36.499853Z digest=sha256:6aa8ac48063358bfed93a0a00206246ac9a5de7cf60405a2e45e7322db6729f7

Observation 4275782d-2729-4278-ac0c-a71f0933624b · outbound

This paper cites Randomly forced CGL equation: stationary measures and the inviscid limit.J.

New invariant surface measures for the cubic Schr\"odinger equation Randomly forced CGL equation: stationary measures and the inviscid limit.J

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.787680Z

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=2026-08-09T13:16:36.503641Z digest=sha256:2545e8cbc968caa3ca67d8fa0c397d362e0c43ab58fc910be00e7f8502ea3116

Observation 9053c079-2d93-4499-9463-744202995d4b · outbound

This paper cites Mathematics of two-dimensional turbulence, volume 194 ofCambridge Tracts in Mathematics.

New invariant surface measures for the cubic Schr\"odinger equation Mathematics of two-dimensional turbulence, volume 194 ofCambridge Tracts in Mathematics

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.773669Z

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=2026-08-09T13:16:36.507611Z digest=sha256:848aab356bb0785bc4a6ae8802c3c7710e2254f697eefdf62f56604e38986339

Observation 6cd648e2-a3ad-4bcf-a4a1-66dc3c04c50a · outbound

This paper cites Critical local well-posedness of the nonlinear schrödinger equation on the torus.Annales de l’Institut Henri Poincaré C, 2024.

New invariant surface measures for the cubic Schr\"odinger equation Critical local well-posedness of the nonlinear schrödinger equation on the torus.Annales de l’Institut Henri Poincaré C, 2024

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.759179Z

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=2026-08-09T13:16:36.511516Z digest=sha256:3bf17cbde4a983f7c4082cf42d5ef75bb4d6c0eee00117c50dd47c59517a0f72

Observation c7a65d33-bb8e-45af-97f4-095435525130 · outbound

This paper cites Lebowitz, Harvey A.

New invariant surface measures for the cubic Schr\"odinger equation Lebowitz, Harvey A

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.745983Z

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=2026-08-09T13:16:36.515675Z digest=sha256:d75238823dfe4faca671a7f0a4361ae4912430a457a0d4aa2a75da2279a76697

Observation a2c4c144-e68d-45d2-ac6c-a21f088ab9e1 · outbound

This paper cites Springer-Verlag, Berlin, 1997.

New invariant surface measures for the cubic Schr\"odinger equation Springer-Verlag, Berlin, 1997

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.732879Z

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=2026-08-09T13:16:36.519742Z digest=sha256:974a4b4ee5c019af133c5dd87054fd15e98b079ee2e092ecdffb6d7d1847236c

Observation d95bc20b-dc15-4601-b0e2-13a81ebc8ac9 · outbound

This paper cites On invariant Gibbs measures conditioned on mass and momentum.J.

New invariant surface measures for the cubic Schr\"odinger equation On invariant Gibbs measures conditioned on mass and momentum.J

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.720297Z

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=2026-08-09T13:16:36.523485Z digest=sha256:feaf8a9dd7e55157bdc2e18e4e7e24ccd3aa54b647b944df3528ef36c6c6fd5d

Observation 15db1fb4-bf14-492d-af56-0ef541dc2e10 · outbound

This paper cites Optimal integrability thresh- old for Gibbs measures associated with focusing NLS on the torus.Invent.

New invariant surface measures for the cubic Schr\"odinger equation Optimal integrability thresh- old for Gibbs measures associated with focusing NLS on the torus.Invent

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.707962Z

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=2026-08-09T13:16:36.527260Z digest=sha256:6bd32c1133ea12cfb2f61b968084aa21e25bba3dd8fd5f9db3b80c23f89112a4

Observation 0185bd15-dae3-4640-80b3-a5c2eec9d836 · outbound

This paper cites Ann., 378(1-2):389– 423, 2020.

New invariant surface measures for the cubic Schr\"odinger equation Ann., 378(1-2):389– 423, 2020

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.695248Z

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=2026-08-09T13:16:36.531212Z digest=sha256:7cd1376626dbd4342e3f3614c75bb2b7e801096f7e6cb13376c9af464d659c47

Observation 1082677b-c2eb-416d-9390-5727792551d7 · outbound

This paper cites Periodic Schrödinger equations in Hamiltonian form.

New invariant surface measures for the cubic Schr\"odinger equation Periodic Schrödinger equations in Hamiltonian form

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.682113Z

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=2026-08-09T13:16:36.535173Z digest=sha256:6779f31a03747125219343d010df9e553108ce7fb8ac101c716595c8adb89267

Observation 0fff3328-65a9-4384-af7f-5ec8703b7c1d · outbound

This paper cites Quasi-invariance of Gaussian measures for the $3d$ energy critical nonlinear Schr\" odinger equation.

New invariant surface measures for the cubic Schr\"odinger equation Quasi-invariance of Gaussian measures for the $3d$ energy critical nonlinear Schr\" odinger equation

Reference 27

Resolution
verified exact
local_arxiv, observed 2026-08-09T13:16:36.594919Z

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=2026-08-09T13:16:36.539393Z digest=sha256:6df46c8dcc802424c16f77f1fb0f6225b56bf83a6957d5d1cae078e39ec67c44

Observation 8ddf01dd-0fc0-44ef-baea-18a8275159e1 · outbound

This paper cites Almost sure global well-posedness for the energy supercritical Schrödinger equations.J.

New invariant surface measures for the cubic Schr\"odinger equation Almost sure global well-posedness for the energy supercritical Schrödinger equations.J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.668740Z

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=2026-08-09T13:16:36.543468Z digest=sha256:22ef5ddd68397e7e00add29a45fce18668f06aa0cb4ef42d6d0bf9e8e943bdd2

Observation bb047cb2-f18c-462f-94a1-b6164a1eeebb · outbound

This paper cites Global well-posedness and long-time behavior of the fractional NLS.Stoch.

New invariant surface measures for the cubic Schr\"odinger equation Global well-posedness and long-time behavior of the fractional NLS.Stoch

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.654913Z

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=2026-08-09T13:16:36.547318Z digest=sha256:049c5873b2d4c0d77064b851e22950af715daad8879bc5e8eb942d5861b13487

Observation ef8c6734-6412-4ad5-86b7-49293cce86d8 · outbound

This paper cites Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation.Ann.

New invariant surface measures for the cubic Schr\"odinger equation Gaussian measures associated to the higher order conservation laws of the Benjamin-Ono equation.Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.641887Z

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=2026-08-09T13:16:36.551119Z digest=sha256:cf1e785b924d14312b18b07243cb56a0aed708ba16aa539bdae29580a568786f

Observation deca0e77-bed3-4b47-93b7-9b173f6d75ca · outbound

This paper cites Zakharov and Aleksei B.

New invariant surface measures for the cubic Schr\"odinger equation Zakharov and Aleksei B

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T13:16:36.628561Z

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=2026-08-09T13:16:36.554638Z digest=sha256:05b71f2072fc861a95851ff9e1da21801cf59a5f51e8ccc4bafcd9d56dfa1175

Pith citing papers

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