Pith. sign in

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.

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

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

  • verified exact2
  • verified fuzzy27
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

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
raw_fallback, observed 2026-08-09T13:16:37.002459Z

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=2026-08-09T13:16:36.433746Z digest=sha256:1b4a3b2c5a63a7260d17f903aaa6b79729450fc9c41b51162a8f506dfb71ec66

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
raw_fallback, observed 2026-08-09T13:16:36.987888Z

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=2026-08-09T13:16:36.439196Z digest=sha256:572dbdc7590462ab22433cdeaea30872431074f8210dafbeb99548d39903d924

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.

source=pdf_text observed=2026-08-09T13:16:36.443998Z digest=sha256:bb94f34982db3fbd8fcbee6dacc0ff1c63c3e88d5c73aa358616186d97039d61

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=sha256:50cc3b10006fc8bc073e9a97f717e28f5f4c13f6eb54cb61eecff5a058464479

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
raw_fallback, observed 2026-08-09T13:16:36.944649Z

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=sha256:88f81fa25a939a3b0a6e6bc00a168b9fd3046e46147cf301690c76025b88af2e

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=sha256:6cadf7f2772f3b9cf42b7d7e3b412ff020a461e8a64bc29ddf39366a77f7d9e6

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:f79c29e837ae9d7b43b5828c5f6bd00e66674f2d3283a075253598d5ad47054f

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:e8c838bc7cb9cf64d8e1be4c16f9969305d3c028e53b5310e34ab3844beb122e

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:c443f09cae2c5e37de861fb25fd9fd2b425a30203121a0d53177d58cf28f6741

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=sha256:95b3ff5ad178f10a287e856f88770697369ca81c0ff40bf2cb8b9fc64f85f3ac

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=sha256:2f8705fdc6163ee56d64366b04754989c8cd0682bdb329ffc4ce33bd0ed17dc4

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=sha256:231ad823730c7c1787cadbf9071f86b351a16e232ff6b095dffa86fd4cc4ab9d

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
no resolver link, observed 2026-08-09T13:16:36.484614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T13:16:36.484614Z digest=sha256:4cdb1855fd6fc6b1ffbd13f7b60ddfea572165f2e4abbadbc24eb16daa029901

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:f1a56e010d5b4d8dd144f4e387505fcd67569451e179086d498f7028c0b3b0a0

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=sha256:7ae01a3566daae925dbdae7960bd9adaf291bdddf76e41fe4e17b26652e6e6af

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=sha256:232bc90cc98c3fec0a488f27a04a83f668e83b88c1dccb9afe65b4b19a7d5088

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=sha256:4fa8f388290c388898e0851a2ff9f0803209a2a4471d2f580bee22a95e6dfd07

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=sha256:440bae17225e4cc1b5f2db7c109d5fea17c0d268ab43ace0bcc93b6b008f643d

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=sha256:63565d5ae1a02ff71afa1d97888d920755a5a26eabab7faa8efca16fddca7515

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:a48439fe8eccff7fc28c7812b270d8f3b7c54a276dba7801b94378b8bda743cd

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:d405fe253fcb1e8d784670a57341b9d2e5fb39c871f06da5f622f4c82cdfce1b

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=sha256:29bda867d103caa10fad1f38b0d8b7271bca72e0f71fecafb2984fa9bf0a2aa3

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:f4a6b3fff531edcf3d44b18c73d25d0780f8c6566ac6637032b8cc1298c7b2b2

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=sha256:942aa6407990cf827b0ec34063514dae2a46f4565ca45c34610723b4f1a3f1dd

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=sha256:802a54e8657f4612b91c4bc034e2fb9dc4f7e496e57070c647ef5f5ebcb72e32

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=sha256:9bcd908e2dd30fe44e9c03002915c7d8ec00d8ddffd8c12b422d20017649fc97

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=sha256:2e997df33f07f0c9d52d96d46843f3551576634fb33ab89f1047e10f40e3600c

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=sha256:3f70294e83ccf0d240ef2cd1ce7a4a04330f445ab1f6b527ec271d998575a298

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=sha256:1fab1b7efaba7978e4386594e443fdacc5f3205eb9871501e4c3ed1ffa92ec92

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=sha256:8764983b4c60e6521f7c25df4457369be48c27d168544fc593ed9a862fedd0ef

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=sha256:27ead3a2b1e968f4ffd01fe746d4f374cad5347c203ff1a657b054f06b78c5a1

Pith citing papers

No inbound Pith citation observations are available.