Paper Citation Record · LEDGER

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$

As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2411.18163.

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

pith.paper-citation-record.v1
2411.18163 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T11:36:51.320488Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

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

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T16:23:16.209006Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T02:45:19.406606Z

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy21
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7c87aa84-23d6-4a7d-b410-e58d9ff3ad2c · outbound

This paper cites Bourgain.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Bourgain

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.833214Z

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.

Observation c30169c3-24f4-4ab7-aad8-a18b1684d82f · outbound

This paper cites Bourgain.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Bourgain

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.805757Z

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.

Observation 9d98e424-b780-49b1-9311-1ce1fa7ae791 · outbound

This paper cites The proof of the l2 decoupling conjecture.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ The proof of the l2 decoupling conjecture

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-12T11:36:51.209844Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ee1b9a5-dfed-4cbf-a97e-bf3afaedea62 · outbound

This paper cites Colliander, M.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Colliander, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.772611Z

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.

Observation 3d45f97c-af62-4383-bf24-e8b0df458368 · outbound

This paper cites Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d = 4.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Global well-posedness and scattering for the focusing, cubic Schrödinger equation in dimension d = 4

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.750688Z

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.

Observation f34a2935-f923-4ea1-81a4-799041e18791 · outbound

This paper cites Grillakis.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Grillakis

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.728276Z

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.

Observation 727c807e-b762-41aa-a3b0-af0bb0de00de · outbound

This paper cites W ell-po sedness and scattering for the KP- II equation in a critical space.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ W ell-po sedness and scattering for the KP- II equation in a critical space

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.709932Z

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.

Observation 40032afa-a59a-4530-9da2-282403653005 · outbound

This paper cites Well-posedness and scattering for the KP-II equation in a critical space.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Well-posedness and scattering for the KP-II equation in a critical space

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.691256Z

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.

Observation f7e900f0-f464-43bd-8f5f-707e970a63e8 · outbound

This paper cites Gl obal well-posedness of the energy- critical nonlinear Schrödinger equation with small initia l data in H 1(T3).

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Gl obal well-posedness of the energy- critical nonlinear Schrödinger equation with small initia l data in H 1(T3)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.670094Z

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.

Observation c600041a-970f-446c-bd51-87409a5a086a · outbound

This paper cites Ionescu and Benoit Pausader.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Ionescu and Benoit Pausader

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.644087Z

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.

Observation 182a6059-f0f6-46f1-89ad-8605d5a67172 · outbound

This paper cites Ionescu and Benoit Pausader.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Ionescu and Benoit Pausader

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.624198Z

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.

Observation 2074ca4b-5778-4166-b3b1-59a95918a0a7 · outbound

This paper cites Ionescu, Benoit Pausader, and Gigliola St aﬃlani.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Ionescu, Benoit Pausader, and Gigliola St aﬃlani

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.603210Z

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.

Observation bdd48d75-e4a4-4c75-b8f0-30ecf9872f1e · outbound

This paper cites Kenig and Frank Merle.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Kenig and Frank Merle

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.578216Z

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.

Observation be34cb98-3112-43f4-b81c-8f91f0c9a061 · outbound

This paper cites Scale invariant Stricha rtz estimates on tori and applications.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Scale invariant Stricha rtz estimates on tori and applications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.558747Z

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.

Observation 946f6ee3-7a68-4315-8b77-1da924378f62 · outbound

This paper cites The focusing energy-cri tical nonlinear Schrödinger equation in dimensions ﬁve and higher.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ The focusing energy-cri tical nonlinear Schrödinger equation in dimensions ﬁve and higher

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.531090Z

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.

Observation 2761e507-aa19-43de-bb61-ef3c89af8116 · outbound

This paper cites Dispersive equations and nonlinear waves, volume 45 of Oberwolfach Seminars.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Dispersive equations and nonlinear waves, volume 45 of Oberwolfach Seminars

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.497390Z

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.

Observation 98e3d6c4-bf4c-48ed-992a-471d7ba339e5 · outbound

This paper cites Critical local well-po sedness of the nonlinear Schrödinger equation on torus Td.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Critical local well-po sedness of the nonlinear Schrödinger equation on torus Td

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.470609Z

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.

Observation 020a0a40-3ce7-4a26-8256-c93d4f5f0002 · outbound

This paper cites Local wellposedness for the critical nonli near Schrödinger equation on T3.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Local wellposedness for the critical nonli near Schrödinger equation on T3

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.440998Z

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.

Observation d6ef41e0-135e-420f-b0bb-b35bed61f961 · outbound

This paper cites Ryckman and M.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Ryckman and M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.421292Z

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.

Observation ade48a70-8d8a-49d9-a507-1cbbeafda752 · outbound

This paper cites Stability of energy-crit ical nonlinear Schrödinger equations in high dimensions.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Stability of energy-crit ical nonlinear Schrödinger equations in high dimensions

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.404680Z

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.

Observation 2f31e583-ec39-4990-9c01-32a15c5a4774 · outbound

This paper cites The defocusing energy-critical nonline ar Schrödinger equation in higher di- mensions.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ The defocusing energy-critical nonline ar Schrödinger equation in higher di- mensions

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.386598Z

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.

Observation 8777d2b4-629f-47b3-aab7-e855ca1fb291 · outbound

This paper cites Global well-posedness for the energy-cri tical focusing nonlinear Schrödinger equation on T4.

Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$ Global well-posedness for the energy-cri tical focusing nonlinear Schrödinger equation on T4

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T11:36:51.367925Z

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.

Pith citing papers

Observation b16f4fda-e271-4f97-a264-a65bb18a2e92 · inbound

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ cites this paper.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$

Reference 31

Resolution: verified exact; arxiv_id, observed 2026-05-23T02:45:19.408789Z

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.

Observation dc2a4293-b961-40a0-8a1b-0cf5e4ae5d05 · inbound

On restricted-type Strichartz estimates and the applications cites this paper.

On restricted-type Strichartz estimates and the applications Global well-posedness of the energy-critical nonlinear Schr\"odinger equations on $\mathbb{T}^{d}$

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-05T16:23:16.209006Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.