Pith. sign in

Paper Citation Record · LEDGER

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

As of 23 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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:28.839372Z digest=sha256:620481ebe617bf35ffed756ef406a01fd1e9af60867d2e6c5cf123970e02784f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:28.916953Z digest=sha256:78af9a7683457543775cd46a6bfeaec9f9da2e771c4230cc0087def620d5d5e9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.021253Z digest=sha256:2429aa3f73a66eaa95f32cd1efa429c8e2038b55a26a394f0b70f3993aa343d7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.113365Z digest=sha256:31e0884f5832e179850c381d8f0098cf727cc72d87a007a3eaf3c669557a740a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.187940Z digest=sha256:95da2de2d02bac9079d7ac1d9b12eddb573774a5d4d61c2d684fddc442eb61e3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.265529Z digest=sha256:c939dda6c530a84437e64941abad80ad8954645717e34067f17cc3289f895c68

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.341028Z digest=sha256:61ab1da0c80d732a8c0f42348392c1975429719cf53fea6c7419aea8b13f3b20

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.407429Z digest=sha256:758cad16db03d9a1cef587911f3cf9170548330c7412115057d31698719dbccd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.480914Z digest=sha256:ffabb472d75fa60b998d0b955c38ed6e4d0d4277fb42cb207c3833ebb31212e6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.542195Z digest=sha256:b3061364b70d4743268155585d3741e82e7139ab508bc178e59822961df51643

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.622935Z digest=sha256:c7fc8c97e5fd8009192fdc1a2b51b9089483b2d608c0ca5448bd76c3ec48e981

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.705593Z digest=sha256:c4577c59a97854055a0a80e3eb3b2d93ff863a48f6ee8f8d465b688bcf3803da

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.785908Z digest=sha256:e05e616e88080f9d4914d661fd5274e285e73e5365e9da412431036792b7759e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:29.945167Z digest=sha256:63db97422a8cc97ba4ab5653d2c9a49643c928c77ac555f84ef392c2baf6a6bf

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=sha256:9c4ff663d8239c57f73d74593c2f32739f72c139c8f01c8229bfed5758fe0417

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.127258Z digest=sha256:a17b24706e88e0e44298259e741c294b287348c7b93ec8a2c40582e816cdc4d5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.181248Z digest=sha256:a285d1a6778b344e51f14e89828eea2d3315b49827e528dc4aa0d211844c92e6

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.269276Z digest=sha256:be02dacb3f9cdac20054e3a2d3d3b082bd6c3107c97d4a5eaacf0d8ae34c090a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.377587Z digest=sha256:4b12a26118aabf910b27e6f29fca1193e90c4cd0ce2e3d9fa480cf8177640729

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.462759Z digest=sha256:e5bfdb61b002d7618bccb8532bf398ebcd0f62a4c3a0fccd8c2b59a6337eb040

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.537890Z digest=sha256:9622ae96a3d29e577504391a916756751288dca785ed07760bbca7ffa1a2dd5a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.627198Z digest=sha256:df7d8d48b8f2d0e5dd510ad50c82d113238280d872055e7b7f3cd46682b11d02

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.701651Z digest=sha256:0ef61713e846b2e9c15ac91c22bbc50a57533b7a85f03e5db3b236dd84b391d0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.767906Z digest=sha256:330538b61dd4c2a3e08f557a1e5b64dd695755bb296d56cfebefca3a4450e0a4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.829154Z digest=sha256:fa8abc8a73c881b859f26dfa74ce95014ac35972306086765370c7689eb95038

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:30.941276Z digest=sha256:bee15ad5ba42646b174d605ddbdbf43ad4543e7c7c666d32f032e5ce966a413a

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=sha256:3ae8c101303e167f0ed77e554536b04fca4bb5ea44c3a7ae63e2b5089e0b7aeb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.166617Z digest=sha256:f32ff22e4af47f4b48512d12029820f749b9b80cbc780098fce90642f63538ba

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.306847Z digest=sha256:96a6a9d84fb1b0b5a1186982f4c345ea7013bf862562e3a9ded2295656a2c049

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:ead1679b0d12833ac9cf074b6dba5425ac3af8f0dbdf425e22de82a8aa7de0ae

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.542007Z digest=sha256:de879385ca716484667097fe505a805fd9dda3258be4979f4a0e81aa47d9d1cb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.692231Z digest=sha256:7096ac54f2fdad86d1fc8629e3b98a371e440cdf44fb676d394879c410925736

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.799818Z digest=sha256:2cb01e44369e969e67f43f23e3f33429b1cbe1a05eebd4ae3f8bf10bc13b0702

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.868846Z digest=sha256:c8d28ec6f4fdffa20141f05feb3f43faf81c41f4dc7439e585f6a41abf67a773

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:31.962303Z digest=sha256:3551a16ee00b91db1e7c98349f7ec3ec18e9b31f8555cc3a641c46cf7166d3cb

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
verified fuzzy
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:32.027274Z digest=sha256:dfe2bbcdfa43caab7e708b08d93cb70b9ba0fda84d5af719bdd2de1dad0c218e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:32.114628Z digest=sha256:5d793dde785d1b5ec7cdbb31f23e03211c439330b471e65b0de6067ff15698b5

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:32.191159Z digest=sha256:973f46de5420734f1068f8dd2dc9cdf463083e5149700e3ab668e56e3d8a958e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:32.376847Z digest=sha256:3f7fd298111b574797eb6a144c7e0e59b3f17ceef7cbe832f898ec3ffb47928d

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:db21408dc0bf6bf6a702526d29c096c31cf04242d92d6f5ed4ecd78fbe3a8b15

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
unresolved
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:c4047e258810664131c59b1e2f8c6c32780b169034e2dde95a2f23418a5e9c0e

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:cc6ca806b8622a493e4f529af838b8c6a4423f376a1841b70d6bba13919b8e67

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.009481Z digest=sha256:1fd80b9ffd063ec6b482748a7742207dec982c285d862a97c9542cc2cb171e83

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=sha256:302375499ee2c0e54ddf0e8f3cd2056f196e27e430e445f8180aebce29f5b23d

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=sha256:4ec7be924eca24b2d3879e6ada0d623328f482bf680c5835eefe93da323f0d67

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.431693Z digest=sha256:303c63ebbc0f2087267d07685ef0cf174f3779b6f1250b12ba3299a5e588212e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.531118Z digest=sha256:9a213d35adde0adea295306376aff9ac69175081a4c7106d25b12a12106ae5a3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.660898Z digest=sha256:14d4d657b517a259e89a2a7a3c2b10ca1a979575efe0b7548752880fc916247c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.756904Z digest=sha256:00ec77c16bc277ed2944bc16e46c60f86958b80796e89f8790e153bdec41c6d1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:33.899483Z digest=sha256:ea2768729d87fd9d5b7141ae14696a9906ea4415c6fd7f303b70c6dfc4da3999

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=sha256:9cbf5a70647928657ced991dc18bc6faddfb33d836bc3f5764a9f567d0f90f60

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:34.190694Z digest=sha256:f67d92a8d9b2b252b3da40b23a7d7d1ed42225608a766ca915d12796fff4caef

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:dd49c14643e7b756075eb6e9b6d68726e3f19325067404f96f53cc38ee7ce9f4

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:34.449123Z digest=sha256:40fb8145e06cae46537d923c269a585771aa541941536ca4bdd4e8e21fe1d113

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:34.612474Z digest=sha256:bc767107f026e64639f7c1a7a04b6cc858488290188048c07502608123c75ace

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:34.722313Z digest=sha256:8eed5fd5ae25d8b01838f9f3167a6749aefae6901a32b5a94c0b5337828d9226

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:34.806964Z digest=sha256:bd69d3864019dd95ad67474bb101196daee9363e4e54124b827d241e2e6575ba

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=sha256:0d9908a62dd328a5e1e1f6a87628338481424c86dd4d6bea092916327412a7d6

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:e10765fced1dc2fa25e6fa406493dfc874cd0b05ec79652eeb57845fd761b819

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:35.128988Z digest=sha256:3365759f0b99ce042df31005bfe370e5d3cce1ddd7225f868731ef72c750e59f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:35.235382Z digest=sha256:4e14062dc19cb178752d34c5ab5ba47e6af5aa64c7c7eac1f5b7fa88cd3768bb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:35.307295Z digest=sha256:52f58c0b112965bfa00f3e27431deefea8b07ed6a5132e847a5788e3156c410f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T12:39:35.381953Z digest=sha256:e2a31758db1ee9af4933160977e58743dad68061c9c0d6934f34453cd7f5ed27

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=sha256:6efb302d0acf965ed35d365508b6c4791fca312f45544b155028d091976d65e9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-09T05:21:50.042171Z digest=sha256:4c45b1b9dbf51621ae66c05e481f43d19933cbafda72eeb9c069176cbed8a1e3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T08:18:29.415024Z digest=sha256:fe18be8c46a92ec934626368f09031dbb3fbdf3628e613f9f935be6706f24e50

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:bef08e3393b2531dcbef80f65fa14460e396691df4f2f7f562c24a7a9dbef08d