Pith. sign in

Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.433746Z digest=sha256:8317b1cfb8ddfb691e039d1e0e45e8a0098eb0760a505c9b623dc92270feb096

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.439196Z digest=sha256:0e2e91c69402de4ce1940003bb8f6385c0a9034cbd1f6faccd55b30fe9180b32

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.443998Z digest=sha256:3523a5047945a9e17dfb6b8dbf95847b7c74ccd8d849dbe9439757fe891f9ff0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.447918Z digest=sha256:d406c51e4c576f6855f27ab5f9b48e50a687168a1dcfca02a0e36aaa5cfad615

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.452443Z digest=sha256:12dc49f871e98b63aa79599bccb3286ace672cb342b4f8d331c87ffd2b9e4f97

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.456529Z digest=sha256:52d21e2d877aa05799296a8cd0ef8dea837965bcb71489d134d708a17764d08b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.461288Z digest=sha256:d73be37e38c821ff90f5504e4c3a266d60321c2442bad655d3be9bcbec52e725

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.465311Z digest=sha256:88d603a77c1afd669396d39d1091591f49d8b0d856b9024e3c9bdcbfe41009a9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.469338Z digest=sha256:83fdc819b4f67b3bd88e0439222f599f795bbf029c4dd52e938b7059c72954cb

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.473212Z digest=sha256:b00ab64755b6bf1fae65625587e55d6a3b868d115685e46ff085a7ced67079b7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.476893Z digest=sha256:12b060180ef45c07ad8a45fe86ff0f078eac79861f2ef20918f4f3c2f68640b5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.480505Z digest=sha256:9032fb54d79c56eafb20776fc89852668fc418b61f99630fe2a2c718e966cb71

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=sha256:69173b228f824db27f578732c9b4debee939d7e8072087e13a8c1a4a4bf427b8

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.488464Z digest=sha256:2127b11c640d68786647e7d7aa6861dcb93bb004ae9b3eeabb20cc8fee8343e6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.492316Z digest=sha256:a3d779c01c46880a65e0edf3895e524fdab25c126388f3b9ed1a252c3ba50d22

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.496081Z digest=sha256:02334d532f58722f751189f91b7c2608ead85b2aeb96d7d97c0105fd66e4edb9

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.499853Z digest=sha256:ce990ac42e33e89ca492d6298c26b3bf9d006e2e33b3109a0622200e6df1c6e1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.503641Z digest=sha256:e8c50fb0a56774e823a705b8e7d1fad30a32f8d1311a5de38a119dbf228049c3

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.507611Z digest=sha256:d2985448cb2fb0dad79bbb046c431eafdcda5bd02e8e5c5fdb732d57da779d7a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.511516Z digest=sha256:b42ec9fb3a2c70e7309f262f154b1c3955e0bbe3e97bb8eaac72343d9ab2b3f1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.515675Z digest=sha256:9dfab443849680692bf9740ed1155dee9128fc4ea6054f5ec5777cd5aa777ac5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.519742Z digest=sha256:744a563d245cdefcfcf56f7758f53376551c3217cb5325dbbe8ecbb011465ef1

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.523485Z digest=sha256:dbea3ea1b2576df0da3ebd31e3f6fea737fcaa8a105cc88074d88ed4c8a204a5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.527260Z digest=sha256:efc627d8e069ad2231a7ce5d82a064870957a5ff9ddb10f3a7c3884a9eb27862

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.531212Z digest=sha256:40e521b37311c893d098484c2826b98d2dd3aa12be622823825b2668985f45fe

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.535173Z digest=sha256:db541e3e0d1d72ecd3495d0b5e9721f56fb6689e6e1b864b7c874b4ce607e60f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.539393Z digest=sha256:39792cb0ed25050acc9aaa5549e034aff5c7a84e8dd5b5c2e563c4cf4bdbe5a0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.543468Z digest=sha256:02690b3d0e982a4bd21d276e40b19b6f14d356758a34d445b29aff0caa7ea6fd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.547318Z digest=sha256:af6084beb040f78209629faf8bb6ebcad94ac00768b4289050dbdf2d4f015b05

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.551119Z digest=sha256:e09631119296ef89ae204068d9c37aa879ec2bce0b441547eabb141cc624a331

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T13:16:36.554638Z digest=sha256:6ef4ffb000d7261c1c4b7113c128cfd637f589981f3ddcfb188f674d3ab9ab19

Pith citing papers

No inbound Pith citation observations are available.