Pith. sign in

Paper Citation Record · LEDGER

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

As of 10 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 2 inbound Pith citation observations for arXiv:2502.17073.

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

pith.paper-citation-record.v1
2502.17073 v4

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T02:44:21.906895Z

measured 51 of 51 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:30:11.669685Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T15:28:34.816647Z

Reference resolution

49 of 49 outbound references displayed

  • verified exact2
  • verified fuzzy24
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 871fac3d-3e66-47f5-9dc9-c048471f4959 · outbound

This paper cites 6, 749–768.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ 6, 749–768

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.075027Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation fa60854e-68b2-4c12-8d6d-bc5f28d8b1b6 · outbound

This paper cites Apostol, Introduction to analytic number theory, Undergraduate Texts in Mathematics, Springer- Verlag, New York-Heidelberg.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Apostol, Introduction to analytic number theory, Undergraduate Texts in Mathematics, Springer- Verlag, New York-Heidelberg

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.072190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:67655d90e1f4f7ec037f79c84e899de91625be5cec276fba1e63361f7eebdc7e

Observation a10b1c6f-b14e-4f42-8d52-9fd054f51eff · outbound

This paper cites Moody, and Peter A.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Moody, and Peter A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.069496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation e4443ae2-4591-42a2-9c7e-b93045d42c87 · outbound

This paper cites 3, 263–268.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ 3, 263–268

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.066553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:bf3670a80951de2f928d51330f2ffc20abc40a8bcbc4ec3622e7502f34f54d74

Observation 10bc9701-b07a-4762-8ca5-953e4c7fd7c6 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.176054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:94ed34997e84d26bb8404902122c555b7a9f6ea25a38dee4a1b565ca22606d74

Observation c8918a46-8c8d-4bce-8a9d-376e434dace6 · outbound

This paper cites 258, xi, 77–108, Structure theory of set addition.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ 258, xi, 77–108, Structure theory of set addition

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.063742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:765cf489dad0da7c831666ec75724ba6770d06e24ef720e0948d4d112b9095d4

Observation 3d1c9791-32ce-4ff7-9fb8-6208261efc99 · outbound

This paper cites Bourgain, Refinements of Strichartz’ inequality and applications to 2d-NLS with critical nonlinearity , Internat.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Bourgain, Refinements of Strichartz’ inequality and applications to 2d-NLS with critical nonlinearity , Internat

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.061284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:fcee546e1200de797dce6ebab5834c170145b94d48c01a307bf5c914ea5ac542

Observation 3c371192-5c1c-49af-bfe0-6b70e740b274 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.058884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:4e55e314aaab0d2b3852aaef6e658b37c5c0c3f4462e1d4c67d27315bf1fa21f

Observation 9ee6bece-6eb0-4745-aa42-75cb285be3aa · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.183213Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:b808ae0f0af95169b54f9be5931c93daf0332b223aeae6b21b9d7ba8b6cf6bc7

Observation c75b6f9d-5c71-4077-b36c-3d7f1d196d69 · outbound

This paper cites Colliander, M.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Colliander, M

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.056626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:7227fb71de1a5c104ef093f2a18fd32589adf16ad0546b73a8ed8d57ae6f2a25

Observation 84085abb-8e68-4b63-9501-addd4ac36365 · outbound

This paper cites Colliander, Markus Keel, Gigliola Staffilani, Hi deo Takaoka, and Terence Tao, Transfer of energy to high frequencies in the cubic defocusing nonlinea r Schrödinger equation , Invent.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Colliander, Markus Keel, Gigliola Staffilani, Hi deo Takaoka, and Terence Tao, Transfer of energy to high frequencies in the cubic defocusing nonlinea r Schrödinger equation , Invent

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.054288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:ab20290751e1028b9559e847032d076d544a25fc260a41fc54578834a35236b3

Observation 9c650f38-fad8-4f75-9a44-5d3bbecdd134 · outbound

This paper cites Constantin and J.-C.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Constantin and J.-C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.051753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:c5dbec2b7ef27ce217f23cbfd5e3de69a324b31e1cbd74fce595f95aa3537c0c

Observation f6cb9584-d3e2-47db-a232-e8bca377d597 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.049167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:5da92c20c055a0ceca4205853e2324d56b33a8461d83921c32d5dec40dc584d1

Observation d2fa6168-2eea-459c-98b7-f68d31cf1e07 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.150162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation defecdb7-f532-4860-8de6-68503e16ef20 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.137666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:803aa7bea9d79a6c29812b27b311fb40eadbaee8bc36d099089027f1da8bc574

Observation 4775666f-867d-4e5a-9c43-11eafe8e831f · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.129846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0aa0e3c0-f016-45e0-a8f9-36f7033eb6fe · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.146185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation d4f09c8b-4d3b-458a-aa6b-59f7f29a001f · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.124610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:62bf7628833da4a14c496083ae7cc87cbfe072bdc661d64f571e90afda4d28ca

Observation 56ed7a5b-667a-440a-8131-4466088594b4 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.127751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:f1f567441255dc702837b291cc6b42fd67c459cd034fd70fcc651587dc523c1b

Observation 710288a6-696c-48a0-9636-1e52ad5b2817 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.133889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation fb77917b-5998-441c-9fcb-f2d9c5dc1d27 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.109516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:59f7ebc9c7f4d9ad27d833c743688a6fe1164f3d8c96441b1c831067cb23283a

Observation 5071dbd2-0df1-4be3-a0d9-5440c848e2fc · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.113577Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:a7e54fb7058edfad1642b6809e1c24a71be53f39d4a06d3203fd707d78254408

Observation 68ddbc83-55e5-4c3b-99c1-70ff4ff242c8 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.121519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:3fd3ac1a73530240cc701b57b9b87905ca4910df8d32d81061dc1cf7d2a5e760

Observation e7fc9307-4964-4495-ac4b-7b424b05cd87 · outbound

This paper cites Ionescu and Benoit Pausader, The energy-critical defocusing NLS on T3, Duke Math.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Ionescu and Benoit Pausader, The energy-critical defocusing NLS on T3, Duke Math

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.132853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:161d0568cde6af82c95f3c6e07fefb3c2279400d573b9e72ca3527c992b821a6

Observation 82d79141-62f8-42ac-a2c2-74e989fb8c60 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.100645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:fb1b01b577eed68261316f32f4ad78e4bee1e4cc690775abff729058aedbd46a

Observation ac4e75e7-6c4a-43e0-9a52-56813f8fee83 · outbound

This paper cites (2023), Paper No.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ (2023), Paper No

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.103932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:206c861bac96243b4fd0740ea4d564172ce66d704189e5b829a379c2d08b6bc9

Observation 73403788-97c9-49b0-9821-70eb6edf6bd1 · outbound

This paper cites Courant on his 60th Birthday, January 8, 1948, Intersci ence Publishers, New York, 1948, pp.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Courant on his 60th Birthday, January 8, 1948, Intersci ence Publishers, New York, 1948, pp

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.110489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:72acdc5404051b3a60f859f43b8e6764a34bf560744569b7f3d331e51a28e551

Observation 66fa2449-bb42-47ed-82d1-a3a4338df8b3 · outbound

This paper cites Kenig and Frank Merle, Global well-posedness, scattering and blow-up for the energ y-critical, focusing, non-linear Schrödinger equation in the radial ca se, Invent.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Kenig and Frank Merle, Global well-posedness, scattering and blow-up for the energ y-critical, focusing, non-linear Schrödinger equation in the radial ca se, Invent

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.117572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:4cc29b417fc9a59e103922e72585d77e9b905cc7b2b232075c24738582f5c832

Observation 4ac1b874-6413-46df-8b57-3bcf15c9f8f5 · outbound

This paper cites Kenig, Gustavo Ponce, and Luis Vega, Small solutions to nonlinear Schrödinger equations , Ann.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Kenig, Gustavo Ponce, and Luis Vega, Small solutions to nonlinear Schrödinger equations , Ann

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.141940Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:799d43334f35c363a69c5a026348ecc4e010d3e592299787e0abe9345625ab8d

Observation ebea6179-782c-481b-a62e-afa652d9c51d · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.095596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:5d99348aafa1ff109a71ab710b8997a44e8a652aa6c2a9a267842ebed5791258

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

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

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:7f5ef466560b04d5168216ca415872fc2d7349470df4ce3dd7944ae78ff7000d

Observation 457f22bc-5d8b-4a8e-8736-6dfdb913fa5d · outbound

This paper cites Rational Mech.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Rational Mech

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.154232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:cc68fb0d87f9035c81a8a39cda761ea589866da07e4e577faf3f23df6bd36f80

Observation c91bd397-2b0e-4c9f-b37a-f7721fb32ae7 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.098392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:a002b4f7600ef0d6ae76cc989f0edad7aec2fbd22ea4b8756e8a9bcf81526731

Observation 04b7ef39-d264-447a-a557-0dc63c9a72fa · outbound

This paper cites Merle and L.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Merle and L

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.089471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:eb33c1cdc418392f18ab717ed8fb053cf962ca03848d5bc2a6b438bbea3b3bf2

Observation 8eee0a78-43e0-402d-adb6-2c9f23ce87c5 · outbound

This paper cites Mertens, Über einige asymptotische Gesetze der Zahlentheorie , J.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Mertens, Über einige asymptotische Gesetze der Zahlentheorie , J

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.092609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:6cfb9e2d439b50561253b5757c20905885609e65923501309e9610342a46097a

Observation 27b51e87-a4ad-4cde-8b42-761a930cb28e · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.100893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:f4603e2b366d3ab09829f46b285f2486ce21702293314d53bda8cb09b1bd1c09

Observation 694c5641-3c6d-40f3-9d5d-8a7cf5c4eb05 · outbound

This paper cites Ruzsa, An analog of Freiman’s theorem in groups , no.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Ruzsa, An analog of Freiman’s theorem in groups , no

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.080849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:b0801ee288309230bd483e007f8ccaf8cfc6c53f16944fda5f6c82c2e10f47ae

Observation 132c8670-4161-4948-8bfb-ef1048da4830 · outbound

This paper cites Ryckman and M.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Ryckman and M

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.083551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:e881c6f302d0c60ccee6f94db5a8bd2d3600a81179a6c950eb0a0cc41a532f8f

Observation c501c981-5d71-4fe3-a7a5-7e5275a57404 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.086436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:1d5a9b86f3cd448ddc506486383b79fd15967a68d454a5a9b1c3d8e8849b5e0a

Observation 352b4f8f-0269-43fc-a9f2-4a5fb799990d · outbound

This paper cites 199-245, 2.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ 199-245, 2

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.157869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:56b072ce95fe805e6f9597717bd8985a8c78f334e7f2db1242e429902a43fbc5

Observation 980b1113-e797-4f09-85ee-4f3e4ad8a3c7 · outbound

This paper cites Trotter, Jr., Extremal problems in discrete geometry , Combinatorica 3 (1983), no.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Trotter, Jr., Extremal problems in discrete geometry , Combinatorica 3 (1983), no

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.179972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:c85a587c703a11ddbf74e3332a70eb8a7bdc9fca349105fc2497a2036b2556f6

Observation 57851b58-99a9-47ce-816a-ca5a8ff4c341 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.077914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:23bf79d8d5d91ac7551277ac2b1988a0fa97bb6ca5fcf42cb8945a426e259c0f

Observation 7b6c121f-aca2-4114-b396-16f64b9be034 · outbound

This paper cites Vu, Additive combinatorics, Cambridge Studies in Advanced Mathematics, vol.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Vu, Additive combinatorics, Cambridge Studies in Advanced Mathematics, vol

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.186516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:d7a7a256a50fd8ff25c7bf7681c02460f8d2f5b5f139f801aa09d110c8010d67

Observation 350f434a-7ec7-4856-8303-38bdbd86d770 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.168629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:f419525e13b5b0c5630844d9138a629dd53aadcb20797c5987b6e6f802d182f0

Observation df10d4a2-5553-4298-8ded-88cb0817b3c2 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.161810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:ba64ea978fa01b8fedbb0d86f73f8f91e3f1387606e03eb3b881b56dc12e64ae

Observation 4978b72d-b6d2-42b2-b75c-fac621f64699 · outbound

This paper cites an unresolved cited work.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-05-23T02:45:20.165271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:9425e54523af2ee3d45d50ac046302c827ca5bff2ae65699b645f7c1c6570423

Observation ce397367-ee68-4361-bf27-bc7f34c94d87 · outbound

This paper cites Weinstein, Nonlinear Schrödinger equations and sharp interpolation est imates, Comm.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Weinstein, Nonlinear Schrödinger equations and sharp interpolation est imates, Comm

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.172540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:5f1706c1383527c0485f7a4817678028eb4af94a99497aa07cb7a068cc2d25e9

Observation 9d3ed5db-2d0c-407b-957a-cbf83a63a2db · outbound

This paper cites Differential Equations 280 (2021), 754–804.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Differential Equations 280 (2021), 754–804

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-05-23T02:45:20.189600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:4c01c8a7b02a90757757ce0b601188cde09ac68791a086e562c89840231d9274

Observation 79f80d6a-02f1-4017-8469-34c5ff82aa70 · outbound

This paper cites Ergodic theorems for polynomials in nilpotent groups.

Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$ Ergodic theorems for polynomials in nilpotent groups

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-05-23T02:45:19.412253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T02:44:21.906895Z digest=sha256:b2bfd728065261142361f77c9d624656cc5cb53a04fa22f28ac8502c53fa81bd

Pith citing papers

Observation 0aa66ff3-6a23-4a25-ad86-4c8085750e82 · inbound

Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schr\"odinger equation cites this paper.

Sharp unconditional well-posedness of the 2-$d$ periodic cubic hyperbolic nonlinear Schr\"odinger equation Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-05T12:30:11.669685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:30:11.669685Z digest=sha256:565f06865a252b921a4e481c6be77c7f947c817d7104141294908fdb66032e7a

Observation 45b459da-9c3e-4c54-a398-9fb77ad5900b · inbound

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains cites this paper.

Low-regularity Schr\"odinger map flow on high-dimensional periodic domains Global well-posedness of the cubic nonlinear Schr\"odinger equation on $\mathbb{T}^{2}$

Reference 13

Resolution
verified exact
local_arxiv, observed 2026-07-03T15:28:34.818054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-06-27T06:26:15.600529Z digest=sha256:4b5e7ec440d677fe1f9e0e943a7cdc3cd765994336ebf4d947882f8070f01f94