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Paper Citation Record · LEDGER

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS

As of 10 August 2026, this Paper Citation Record lists 63 of 63 outbound references and 4 inbound Pith citation observations for arXiv:2505.24271.

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

pith.paper-citation-record.v1
2505.24271 v1

Coverage vector

measured 63 of 63 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:39:35.381953Z

measured 67 of 67 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T12:30:11.837039Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T08:26:59.067411Z

Reference resolution

63 of 63 outbound references displayed

  • verified exact2
  • verified fuzzy31
  • unresolved30
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b6f5a51d-8d99-4cb0-bb19-8caf12660a09 · outbound

This paper cites B´ enyi, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS B´ enyi, T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:49.950002Z

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=2026-08-07T12:39:28.839372Z digest=sha256:d4b9b87dde16d430f6c18de49e76235bce156e77edc4f4f8344a3498bd9d332d

Observation 7be915e3-5233-4e95-8167-0409bb9f7da1 · outbound

This paper cites B´ enyi, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS B´ enyi, T

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:49.635371Z

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=2026-08-07T12:39:28.916953Z digest=sha256:1499b4f63d602bd11e5ce3321e9b07864ae844ecef8ee6a63b673d27bfbf00ee

Observation eda10b93-79b1-4f02-befb-c78618262be9 · outbound

This paper cites B´ enyi, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS B´ enyi, T

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:49.414272Z

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=2026-08-07T12:39:29.021253Z digest=sha256:3c4a2761e919e0674eb743722d5a4566c6b5f3a5ce6a43667a4804487385c254

Observation 72604e0b-ba4e-4a8d-938b-43fdfae6a3f3 · outbound

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

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bourgain, Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:49.144736Z

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=2026-08-07T12:39:29.113365Z digest=sha256:6e6f1b0f94917ab1441f1a210a35b28824b87048cf76ae8ca866f4d3e39fc254

Observation 92519b6d-62c8-478c-9f8f-2dee03c8a60d · outbound

This paper cites Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bourgain, Periodic nonlinear Schr¨ odinger equation and invariant measures, Comm

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:48.882878Z

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=2026-08-07T12:39:29.187940Z digest=sha256:bca2f09765fea9b2ac7cc40147b80023aad6919c65c079986d9097281b0dc25d

Observation 0b4506c3-d79c-425e-a444-5cd16e9ef267 · outbound

This paper cites Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation, Comm.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bourgain, Invariant measures for the 2D-defocusing nonlinear Schr¨ odinger equation, Comm

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:48.564744Z

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=2026-08-07T12:39:29.265529Z digest=sha256:04c1c68d600425ba90c9be6767c64acf219efaf22bdabaab681f02e1aa915a6a

Observation 1dfa599b-d0b2-4c7c-a1fc-73a41062664d · outbound

This paper cites Bremner, Lattice basis reduction.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bremner, Lattice basis reduction

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:48.341768Z

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=2026-08-07T12:39:29.341028Z digest=sha256:0b87e2d9eeffc31d2f7f14c9eb94ee2e871d540b8dd0b687bc6cc2fb67a31a7e

Observation 81ca0689-7856-445a-95e8-6d035e9f72b2 · outbound

This paper cites Bringmann, Almost sure local well-posedness for a derivative nonlinear wave equation , Int.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bringmann, Almost sure local well-posedness for a derivative nonlinear wave equation , Int

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:48.126619Z

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=2026-08-07T12:39:29.407429Z digest=sha256:35416638d7b42a232a874114a19e3165005a49f114baed60c07e299774139aa0

Observation ec9f70b5-311a-4877-8443-8ca8a392b718 · outbound

This paper cites Bringmann, Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlin- earity II: dynamics , J.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bringmann, Invariant Gibbs measures for the three-dimensional wave equation with a Hartree nonlin- earity II: dynamics , J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:47.899032Z

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=2026-08-07T12:39:29.480914Z digest=sha256:62d8fc2c2a38330b347d1a0a142b12072a8e1f3d0f3778b27a38a209aa3f0c43

Observation f5a8daeb-23e3-4133-9a1b-d22f5ac87207 · outbound

This paper cites Bringmann, Y.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Bringmann, Y

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:47.581986Z

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=2026-08-07T12:39:29.542195Z digest=sha256:e1c7d86f90ea304eb1e5f8bf3b8e36bc112657409eac249965b78c0d494fc04f

Observation eafb516f-67a9-4f32-b0bb-b49421321cc4 · outbound

This paper cites Brydges, G.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Brydges, G

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:47.358172Z

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=2026-08-07T12:39:29.622935Z digest=sha256:97e0a225bacdb04e65ba04361b52455752f90e3e6bc8fc51f65162ac93766ee5

Observation ee4f0b48-ca87-4e5b-a30c-cd816bcb49fc · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:47.086467Z

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=2026-08-07T12:39:29.705593Z digest=sha256:f39b9b5faf9a80fb74ecd147a645db4ce91671c7fc4524044896a37adccccc9a

Observation afd16050-37d1-45fc-ab2a-e7f06e0ae850 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:46.905007Z

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=2026-08-07T12:39:29.785908Z digest=sha256:ad2b802ba96c3bd271e67a7eeb72c430f585abf50ec4d30575bb3dce4243adcf

Observation 261fb234-7862-4701-a419-bd52aed8a078 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:46.700476Z

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=2026-08-07T12:39:29.945167Z digest=sha256:3fdba619632961fe7210210f5364eec37c66eb94db8c467fb584f6e331156dd0

Observation 2d182df7-1bda-4c68-b7c4-6d5a5780fd32 · outbound

This paper cites Chapouto, M.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Chapouto, M

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:30.061264Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:30.061264Z digest=sha256:18ae60ba0e62e616bed7413696a1cfacd500d609ab952c332d7fb53d601da155

Observation 8261aaf0-5929-472c-b863-86829ef52cff · outbound

This paper cites Chapouto, J.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Chapouto, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:46.479837Z

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=2026-08-07T12:39:30.127258Z digest=sha256:5500f4087535f236b917aef0e51bbbc3beb7202117f46e8259389447723038d1

Observation cd9a68ce-38ff-44f0-9189-3a452af65d16 · outbound

This paper cites Chapouto, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Chapouto, T

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:46.185852Z

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=2026-08-07T12:39:30.181248Z digest=sha256:670a3b04bf61d7ad9d622c2b54bc7517a9ae749f58e5feeaadd43a7b48eb8954

Observation d93ab9cd-f180-4b60-b42e-8aa0bb5353d6 · outbound

This paper cites Christ, Power series solution of a nonlinear Schr¨ odinger equation, Mathematical aspects of nonlinear dispersive equations, 131–155, Ann.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Christ, Power series solution of a nonlinear Schr¨ odinger equation, Mathematical aspects of nonlinear dispersive equations, 131–155, Ann

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:45.833547Z

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=2026-08-07T12:39:30.269276Z digest=sha256:46987f877e219fe5049122b7a88ff3a5f555f1a8b5868f23575842efe7483db4

Observation 1c27ba64-0338-4d63-a868-0d80327eb992 · outbound

This paper cites Colliander, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Colliander, T

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:45.542967Z

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=2026-08-07T12:39:30.377587Z digest=sha256:14ca4f4f9bdeb23af3fb9031779685218a33d293b116daf8b1e9044211886394

Observation 1c7f0738-e249-434c-9336-46cb05e279fd · outbound

This paper cites Da Prato, A.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Da Prato, A

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:45.214072Z

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=2026-08-07T12:39:30.462759Z digest=sha256:fa4e82804a7971dcb2a2dcf2bf13b1e56ebf7f04535a55d7fb49dccf19076d88

Observation 68a3c598-9274-43fc-8e0c-dc2935a558ad · outbound

This paper cites Da Prato, L.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Da Prato, L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:44.920401Z

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=2026-08-07T12:39:30.537890Z digest=sha256:d3ed502b5e8b52b2eca2212e55d401be05e73992443f9ac798ed499cd3d97467

Observation 982cdc4c-a414-456a-a255-0b806c0f90f5 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:44.547581Z

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=2026-08-07T12:39:30.627198Z digest=sha256:988a154ba18b4b0d761dbd32d7bc09cef01d6c531fdb911d869c9503ad3889dd

Observation cd4ee4a1-509a-4220-b770-7c1248fbe5ac · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:44.130410Z

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=2026-08-07T12:39:30.701651Z digest=sha256:66e5c43b67ca77de8284b57258dd42a86cefee89e5b7ffe905e73d985bb90907

Observation 1e50480b-5258-4762-b03f-bca1c5e11f87 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:43.715280Z

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=2026-08-07T12:39:30.767906Z digest=sha256:c2ba17d5fe6716785d3d91f2578379f1d01dac260c35b28169ce6b0c88c18371

Observation c399efaf-afcb-4801-9f11-2c2c2c29550a · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:43.301777Z

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=2026-08-07T12:39:30.829154Z digest=sha256:9325c0e1e9fe219b3c8c60b1311ee98f9fcbda1f33d29ae4f16108da68554247

Observation c94a626f-c8c7-4e89-9ff3-a016e6e4772e · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:42.888839Z

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=2026-08-07T12:39:30.941276Z digest=sha256:3a770e4f326aaa075ab9eaf881f0a322c4a05585c67778daf0c34b351f775d2c

Observation 0eafac55-0bc9-433a-bd3d-0a9a878c26b6 · outbound

This paper cites Forlano, T.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Forlano, T

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:31.024324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:31.024324Z digest=sha256:321da2eaf7872d8206c350bf6274aff168fe709ebc4c9fe764c639d42aac7fb3

Observation 66a928a2-4c38-4c88-bc81-bebf658db9ec · outbound

This paper cites Ginibre, Y.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Ginibre, Y

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:42.466302Z

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=2026-08-07T12:39:31.166617Z digest=sha256:def7be5e58edcd61d5666262d491aca3818d0db25164641048120fe730cafa85

Observation d72ec0c8-2166-46d6-b246-652eb4962874 · outbound

This paper cites Critical threshold for weakly interacting log-correlated focusing Gibbs measures.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Critical threshold for weakly interacting log-correlated focusing Gibbs measures

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:39:35.890506Z

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=2026-08-07T12:39:31.306847Z digest=sha256:11c1bd7ea6e9f0ff4aef347cb2feded99c8c4e2e8cb3f1ff9f5abffc99f360c7

Observation 0c9f7f7d-f526-4c55-abcc-2eca7c3468f9 · outbound

This paper cites Gr¨ unrock, S.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Gr¨ unrock, S

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:31.420869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:31.420869Z digest=sha256:f9d33ca3ef975dcf928d624ca6ccbd3a389b19c2b6a02a931c773557030d38db

Observation 0c5c2066-9c92-4ee0-b99c-cd1f87724b68 · outbound

This paper cites Gubinelli, H.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Gubinelli, H

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:42.222113Z

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=2026-08-07T12:39:31.542007Z digest=sha256:e439af16fc998ac712eebf5bf3d4dccd7a8ec793e2bb0a66a4fe61a7fee7ad3e

Observation 4f8da9c0-dd99-429c-9328-387801e49b3d · outbound

This paper cites Gubinelli, H.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Gubinelli, H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:41.990464Z

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=2026-08-07T12:39:31.692231Z digest=sha256:30b8d5ab8712160b340ebf6fa89904fd24ba83b52ac09b04e5f7bb3ef4d2d9e7

Observation 4f58cc8c-6143-4768-9d4e-fb7126e4888e · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:41.644246Z

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=2026-08-07T12:39:31.799818Z digest=sha256:4e94318d3ddf8b8adbc17de7bda0d71a14519e8427d2390f7a0635a683edbda9

Observation f4e762c8-b081-484b-9789-919281963df2 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:41.345751Z

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=2026-08-07T12:39:31.868846Z digest=sha256:29c20c237c9f40744909877f13906c3c3477396aa7ecf5c133d5801237c1784a

Observation b7950843-c813-40c9-960d-03fc41fd8716 · outbound

This paper cites Kenig, G.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Kenig, G

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:41.121883Z

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=2026-08-07T12:39:31.962303Z digest=sha256:be134dac3a7099e3a23f54d0dcd7aa5504a3a0f427ed569ee1f28d766a8d4fc9

Observation 964daa6a-3b3b-4a9a-a9ca-3c646e8a8ca2 · outbound

This paper cites Kishimoto, Remark on the periodic mass critical nonlinear Schr¨ odinger equation, Proc.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Kishimoto, Remark on the periodic mass critical nonlinear Schr¨ odinger equation, Proc

Reference 36

Resolution
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raw_fallback, observed 2026-08-07T12:39:40.851673Z

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=2026-08-07T12:39:32.027274Z digest=sha256:cab5be69071748a2732b45a83ef17ef4fde7bc93a8738ade18fc685205a84b9b

Observation ebad2cec-7de0-4c7c-8ec0-846bc152dd51 · outbound

This paper cites Lebowitz, H.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Lebowitz, H

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:40.590225Z

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=2026-08-07T12:39:32.114628Z digest=sha256:55b616e10cdc1fb659ca39e85c9fdcecb9aefbd2511a631986c71c71a41d71ad

Observation 74de4a7c-abf3-457b-90f0-97961bdbe4f1 · outbound

This paper cites Lenstra, H.W.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Lenstra, H.W

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:40.272564Z

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=2026-08-07T12:39:32.191159Z digest=sha256:74a8f86f541dd856bbb672956057f21d50b6a3a29dde2b966d3bd8ca4334ab47

Observation ba390f52-f4b0-4c1e-9b0c-bbec65e87ea3 · outbound

This paper cites L¨ uhrmann, D.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS L¨ uhrmann, D

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:40.009755Z

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=2026-08-07T12:39:32.376847Z digest=sha256:54a2c7234607fb5c3e0a24b7e5019077dbe3f6a54abfabfe0fb8d9188fd2778c

Observation 8c742cd5-2158-4024-887f-f0b9033a4019 · outbound

This paper cites Statistical mechanics of nonlinear wave equations. IV. Cubic Schr¨ odinger.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Statistical mechanics of nonlinear wave equations. IV. Cubic Schr¨ odinger

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:32.547663Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:32.547663Z digest=sha256:29318c7c591773038f30332f2013ee6d8ef32127b7eda3790bc84eb32f0062b7

Observation aeff04a0-fcd2-4250-b3cd-f147f2ddc3ae · outbound

This paper cites Nelson, A quartic interaction in two dimensions , 1966 Mathematical Theory of Elementary Particles (Proc.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Nelson, A quartic interaction in two dimensions , 1966 Mathematical Theory of Elementary Particles (Proc

Reference 41

Resolution
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no resolver link, observed 2026-08-07T12:39:32.706268Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:32.706268Z digest=sha256:5677e807f8cde7221ae8fc86d0754662e1a654c9d1db8092ab77032c5b74f607

Observation 786d9582-8d14-4dcd-a064-3b4f922558fd · outbound

This paper cites Oh, Note on a lower bound of the Weyl sum in Bourgain ’s paper (GAF A ’93) http://www.maths.ed.ac.uk/∼toh.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Oh, Note on a lower bound of the Weyl sum in Bourgain ’s paper (GAF A ’93) http://www.maths.ed.ac.uk/∼toh

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:32.865492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:32.865492Z digest=sha256:46f94e8620d9e2c654c598d92d2ffa6bacb7d9575f0f62dc8e21b20aae787697

Observation b7733149-f665-4cb1-bec6-efa301cb7f65 · outbound

This paper cites Oh, A remark on norm inflation with general initial data for the cubic nonlinear Schr¨ odinger equations in negative Sobolev spaces , Funkcial.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Oh, A remark on norm inflation with general initial data for the cubic nonlinear Schr¨ odinger equations in negative Sobolev spaces , Funkcial

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:39.685171Z

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=2026-08-07T12:39:33.009481Z digest=sha256:c3bc3656322d0f190fbbb3c318cf9a49bbc20e9129ce64bfd8ba0e0f0c0b97af

Observation 1c95bedc-fdf8-47ae-aeef-d8c84df0c110 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 44

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:33.177033Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:33.177033Z digest=sha256:1ad8262a8e3b0e4c4e475d085b1a46da79b2ce89a85fc334ddc66c733217a8e2

Observation d40f82c4-0b2a-4dc2-a6cc-725b96375e23 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:33.312177Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:33.312177Z digest=sha256:481cec09ff28e6e8b0374cb1db32c5671e797106ec5c5e4faab7599ac1952f25

Observation 48400518-2ef0-451a-ae19-3cc8931b8c7e · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:39.423888Z

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=2026-08-07T12:39:33.431693Z digest=sha256:a5734a6d5c4d65d82c1f8b99f45d581d74822d0de49a349e1f994cdf70a81159

Observation aade65eb-7fb7-4f10-b8f6-ada7d692a756 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:39.202667Z

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=2026-08-07T12:39:33.531118Z digest=sha256:010ad31fa9454e0e923f9909517dba95dbdc2394540cbc1d3ae77912aced77a8

Observation dda5a55e-a0d2-46ad-be0f-3d1dbc06a7ac · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:38.995909Z

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=2026-08-07T12:39:33.660898Z digest=sha256:2db2b469ac265f19f7959cf53840bf751696c768b47f54197b5f31fa7e10fd80

Observation da5b56b7-1f10-43cd-ab09-ab6265ba74a5 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:38.698660Z

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=2026-08-07T12:39:33.756904Z digest=sha256:6c76cdde5ea1298bad5d5da08053970e508466fd2940e95901e06c50eeddbbc6

Observation 6d791f85-4f96-4657-b655-195011c30587 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:38.350892Z

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=2026-08-07T12:39:33.899483Z digest=sha256:04120244baa9b591c062702bd6bfa7dc192d428de78bad8521e8f078ac7a8bd8

Observation 17df0d50-2d37-4068-b000-e73626c9b31a · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:34.020358Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:34.020358Z digest=sha256:01a5a07edd7ef432fadfa3905da199307381318ed0394f9d1cc6e26e9f1d0339

Observation aa73d863-452d-4ac6-8ee0-b1487471f7ad · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:37.985332Z

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=2026-08-07T12:39:34.190694Z digest=sha256:33a055b4964421aa998ba73caf28c47824f00e9a900647ad8db845e822c6dca4

Observation 5ab5a0e0-081e-4ab2-844b-601e5f947584 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:34.323718Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:34.323718Z digest=sha256:d430d9d06301528fcb899230e44427f04cf30139ffa03781d767b0bc30668cbb

Observation a7eb40f6-81e6-4663-a123-e53792801168 · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:37.610097Z

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=2026-08-07T12:39:34.449123Z digest=sha256:c3a5e9951d1f1c56f4f3789aee530ef9f182a08dd21ee55a21598fd50668da85

Observation 5a3f3dc3-4edb-40ed-a333-639107068b7f · outbound

This paper cites an unresolved cited work.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:39:37.279152Z

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=2026-08-07T12:39:34.612474Z digest=sha256:526dae89cac8adeb61c9382ad4d3fdf96e5c5c716ba541093de1709a7f12b013

Observation 02db9913-9f6e-4426-b56a-854ef1ee8c08 · outbound

This paper cites Pocovnicu, Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on Rd, d = 4 and 5, J.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Pocovnicu, Almost sure global well-posedness for the energy-critical defocusing nonlinear wave equation on Rd, d = 4 and 5, J

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:37.102252Z

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=2026-08-07T12:39:34.722313Z digest=sha256:4dc8f0b4d0a7c5d06c10b86a2052ce19ea6908c8ad98ef98c13a5fc5d48a5ca9

Observation ad904551-08f3-4a5e-ad72-38a679231702 · outbound

This paper cites Ryan, Introduction to tensor products of Banach spaces, Springer Monographs in Mathematics.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Ryan, Introduction to tensor products of Banach spaces, Springer Monographs in Mathematics

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:36.879358Z

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=2026-08-07T12:39:34.806964Z digest=sha256:e6d0bdaf4fbba9f5e5d308724e2489c55d8b63528f460b6a5abdfad4fe2cbfc9

Observation 7eff76c8-cd28-4370-a472-9465d19f95d8 · outbound

This paper cites Simon, The P (φ)2 Euclidean (quantum) field theory, Princeton Series in Physics.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Simon, The P (φ)2 Euclidean (quantum) field theory, Princeton Series in Physics

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:34.895955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:34.895955Z digest=sha256:1d04845633d46c8d145420b5cd092584596b2ecb4104c1bf139f3a799a3468d4

Observation 0b982747-568d-43c0-8efd-b520d0d0ba45 · outbound

This paper cites Takaoka, N.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Takaoka, N

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-07T12:39:35.024261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:39:35.024261Z digest=sha256:111b462cf50d53951f8b907251e92e99d06341148b6ef88c9865ca3621b5f4f5

Observation 4a50267c-1d41-4444-8d6e-6d9056f415d1 · outbound

This paper cites Tao, Nonlinear dispersive equations.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Tao, Nonlinear dispersive equations

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:36.656196Z

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=2026-08-07T12:39:35.128988Z digest=sha256:9ea50f55d04ddcee9661a503887affab6e651ca71ea8b35165deb8223c10a174

Observation 4ba0ebbd-f33b-44f3-b2e9-e2ea08d70c43 · outbound

This paper cites Tzvetkov, Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation , Probab.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Tzvetkov, Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation , Probab

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:36.418643Z

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=2026-08-07T12:39:35.235382Z digest=sha256:a8df79da2d230f8767121638cc396fcca9658ff47c6c99d45c70aa6400078f5e

Observation 5b61f48d-1908-4a8e-bd04-1cae882c82b1 · outbound

This paper cites Tzvetkov, Random data wave equations , Singular random dynamics, 221–313, Lecture Notes in Math., 2253, Fond.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS Tzvetkov, Random data wave equations , Singular random dynamics, 221–313, Lecture Notes in Math., 2253, Fond

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:39:36.134028Z

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=2026-08-07T12:39:35.307295Z digest=sha256:285ffa458ff7f9692f1643d1077ffa0b7d012a7d6112e1a45ceb548e6ae52d21

Observation e66f1723-5118-4ee8-a456-8c4695fe1b0d · outbound

This paper cites On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium.

Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS On the inviscid limit of the singular stochastic complex Ginzburg-Landau equation at statistical equilibrium

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-07T12:39:35.639556Z

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=2026-08-07T12:39:35.381953Z digest=sha256:1d11d676b95d745b08c8800b9a71fdf85df1ef18e925ac22bc5a3ed2fd55143a

Pith citing papers

Observation 1496a6f9-a256-440f-b636-2ad5f58eeb86 · 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 Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-05T12:30:11.837039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T12:30:11.837039Z digest=sha256:f9aa324f647218068906a3ef8af3b06606f7bb676d6c1e3a07d9fb2926276c72

Observation abd02811-7771-4423-b462-5784bb11fd26 · inbound

Fourier restriction norm method adapted to controlled paths: stochastic wave equations cites this paper.

Fourier restriction norm method adapted to controlled paths: stochastic wave equations Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS

Reference 143

Resolution
verified exact
local_arxiv, observed 2026-07-09T05:26:02.055696Z

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=2026-07-09T05:21:50.042171Z digest=sha256:edbb5b8570491c1f4e88043acb7702faf7c30b2e6eb2d05c8aff019bc195aa17

Observation dd304ae3-23c7-4963-82b7-1f63908541b3 · inbound

Nonlinear PDEs with modulated dispersion III: multiplicative noises cites this paper.

Nonlinear PDEs with modulated dispersion III: multiplicative noises Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS

Reference 67

Resolution
verified exact
local_arxiv, observed 2026-07-10T08:26:59.068610Z

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=2026-07-10T08:18:29.415024Z digest=sha256:f45e7e94fa1cce02c859b2237735f1ef29ab2a6ddb01487859c588d50a8bb06c

Observation 7244c0bb-23a5-4aaf-bc31-32fe782ad388 · inbound

A remark on pathwise well-posedness of the 1-$d$ stochastic heat equation cites this paper.

A remark on pathwise well-posedness of the 1-$d$ stochastic heat equation Revisiting Bourgain's probabilistic construction of solutions to the 2-$d$ cubic NLS

Reference 29

Resolution
unresolved
no resolver link, observed 2026-07-13T00:51:17.670636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-13T00:51:17.670636Z digest=sha256:1b020bc1cc9da189bee19099401565267418c68eb234a8e8cfa5b991b974f4c1