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Paper Citation Record · LEDGER

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation

As of 13 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2608.07866.

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

pith.paper-citation-record.v1
2608.07866 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T00:54:28.299930Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 34cf3775-0372-432c-92b5-d72b9755cdcb · outbound

This paper cites Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Intermittent singular solutions of the stationary 2D Navier-Stokes equations in sharp Sobolev spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-12T00:54:27.096864Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:54:27.096864Z digest=sha256:e3a16bd4d5df372fa1cc18e0aa3cdcf5c98f15ca4fe9d278e88514cc604401cd

Observation a2fbfa47-b8f9-4527-be70-d74a018cb590 · outbound

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

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Bourgain,Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.405501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.133609Z digest=sha256:528cd67d0ad050a9a06e30b8ce6697b18eaf8240ee2295cea75eb61a6502f889

Observation 3475bd7c-afff-4f53-a0b3-aa27826782af · outbound

This paper cites Buckmaster and V.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Buckmaster and V

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.376434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.165428Z digest=sha256:a275f0322696b94e8fb84ed2831cdf4491698663b4bf338e85d3cb2bcec29422

Observation 66583bfe-78b0-4bc8-b92e-d6b9733e45f9 · outbound

This paper cites On non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation On non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-12T00:54:27.214837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:54:27.214837Z digest=sha256:117c7866a4324ae5fc8440a8471cb4e66631c74a2fec0fb8a84ec349789232ed

Observation 61db7c0a-489a-4717-949f-715fd9db6199 · outbound

This paper cites Cheskidov and X.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Cheskidov and X

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.348148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.252086Z digest=sha256:70a335ed72b374eabf4caf8221df13e44807ea332dbb32e066e9af8a1130f60c

Observation ab1c9248-6602-459e-afab-140c332e339a · outbound

This paper cites Nonuniqueness of weak solutions of the nonlinear Schroedinger equation.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Nonuniqueness of weak solutions of the nonlinear Schroedinger equation

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-12T00:54:27.303994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:54:27.303994Z digest=sha256:83b49edc438bcfc119e6ddd76975e16433b7d3ec5cdd3dc7c1cf682c55cb109b

Observation df4f09cf-3f29-4ce4-a617-e638a01b6d9a · outbound

This paper cites Colliander and T.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Colliander and T

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.296132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.354831Z digest=sha256:db03bc04ca99c6ae9f62a1d0706306331ead4381d1cf8063da622d394c50a414

Observation d3c7e796-d5bd-4ea8-9ad5-e203d6c2932f · outbound

This paper cites De Lellis and L.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation De Lellis and L

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.264747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.403089Z digest=sha256:3fadd2427efbc8f390e9b1ecff58f67e467b776468f378586140a81cc842ccb3

Observation e64902fb-f154-4902-b13b-c8a90af79946 · outbound

This paper cites Non-unique solutions to the periodic gKdV equation.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Non-unique solutions to the periodic gKdV equation

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-12T00:54:28.524678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.444835Z digest=sha256:6701d51ea28d404679560c45e09772f55c71118daae7bd447ced397e04db3e42

Observation 70927ac4-3ff0-4298-85f5-fe5a5b33ea9d · outbound

This paper cites Gromov,Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Gromov,Partial differential relations, Ergebnisse der Mathematik und ihrer Grenzgebiete (3), vol

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.220097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.494832Z digest=sha256:739a157ac66b8615867bdb119cb1864020f3b5333c5f5717bc2ea5de3d7254df

Observation babf544e-4da8-45af-a9d9-f0a40985f98e · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:31.177676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.554844Z digest=sha256:57bd13c9d1cb31fa9d9f9b1c0523d5a8c1e0f30292a9adab093f6611bd636fcf

Observation 3252f6ca-bf90-49bc-a235-dc356c7b9cf1 · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:31.129927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.605058Z digest=sha256:f8677aa005a48085ce79d071ec483fd802ba86cd6076f7b10f5350d4ca3dc447

Observation e76a5660-6628-4f36-8857-5f03e4a9c560 · outbound

This paper cites Guo and T.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Guo and T

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:31.034837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.654853Z digest=sha256:7912ff6517b29bd711c18236a4b6938c10068d2ed99fcb372e821de589d8bea8

Observation 77aa57c9-9006-42f5-b578-5f75c6fc7e4e · outbound

This paper cites Hasegawa and F.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Hasegawa and F

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.903145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.704758Z digest=sha256:9675882b1044d850e52300e0b26487351d898cdadc0b6325a6450eb02db85264

Observation 54d9459f-0e81-4f70-a0ba-1163143839f6 · outbound

This paper cites Hasegawa and F.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Hasegawa and F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.784030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.754879Z digest=sha256:9938f42b009d58d8869c0892eab6691986f6978e7b914de88753104e1de93ae2

Observation 3a68e89d-4215-4b07-9fd7-6d3f1e005de0 · outbound

This paper cites Isett,A proof of Onsager’s conjecture, Ann.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Isett,A proof of Onsager’s conjecture, Ann

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-12T00:54:27.804827Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T00:54:27.804827Z digest=sha256:f5ac471453e82ca52024b9175f26b82ddaed2b433e4b2317ada84471146ad8aa

Observation 078b2eb8-6916-44a6-ab13-d8ad1b6add2f · outbound

This paper cites Katznelson,An introduction to harmonic analysis, third ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2004.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Katznelson,An introduction to harmonic analysis, third ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2004

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.514841Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.854829Z digest=sha256:1758a6fd3d8a0a7fafea6ba452592b4748465ed1bf5a65c68f704370160bc904

Observation deba6be4-a531-4218-9159-f174b7504097 · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:30.390467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.894833Z digest=sha256:50965898d9aa0c7e1da01fdb6d21fdd8d15b95170934f8f4dd3a8183c60ef6ad

Observation 002d2a73-0d2f-4d49-bdbb-afdf178692ec · outbound

This paper cites Molinet,On ill-posedness for the one-dimensional periodic cubic Schr¨ odinger equation, Math.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Molinet,On ill-posedness for the one-dimensional periodic cubic Schr¨ odinger equation, Math

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.255065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.945152Z digest=sha256:3eeec0a4e2c038b07e6be3a588bd15849df2a8adab53de2df659adaebc45389e

Observation 3fa3497c-7395-469d-b8f5-34e40565e687 · outbound

This paper cites Nash,C 1 isometric imbeddings, Ann.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Nash,C 1 isometric imbeddings, Ann

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.117950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:27.994828Z digest=sha256:888190f51236c713d0f92e315baacc7b2e15baae6467b01dc406c55d0a60e888

Observation 68512a56-5a10-4ad2-9306-7b0cd81ff7cc · outbound

This paper cites Oh and Y.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Oh and Y

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:30.011151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.064828Z digest=sha256:5b520f22560b8ca9b7385b7011b598309fefec89af75f97a6ef6f53fc59749f5

Observation 429095e7-1c32-4d8a-ad84-6873013dc47e · outbound

This paper cites Oh and Y.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Oh and Y

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:29.882550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.134755Z digest=sha256:b8f8bdeaaed1d4cce9df149202d32f00feafdc6dcabdebc62cee147b5238d196

Observation 3137ffa0-bffe-48d2-859a-f4a0118033e4 · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:29.763069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.184763Z digest=sha256:a03bda5d928bb3616684b9519a75459bc148bd342ac07a1e03644d016321c4a1

Observation 0aaab2a7-3ab1-46db-8e8c-9cbb9b928d42 · outbound

This paper cites Tsutsumi, L2-solutions for nonlinear Schr¨ odinger equations and nonlinear groups, Funkcial.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Tsutsumi, L2-solutions for nonlinear Schr¨ odinger equations and nonlinear groups, Funkcial

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T00:54:29.654752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.210700Z digest=sha256:4427bbb2fdefbbb4fa465c99c3f82dc9c90f8c119ad6ffb0bd850d96555ec6c5

Observation 1c554b14-10b1-403b-8298-8d72119c871b · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:29.538943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.234824Z digest=sha256:86ffe2fa4038991137c349c909ad745a90ac551a86f752c5ca3b367a673bae68

Observation d4666a12-22bd-4793-bfdc-dd39b10ea835 · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:29.414750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.265218Z digest=sha256:02ec8da406a0a383b694be1ce98d6d8eb861eb64d6c0b5e1a0860c55aba05495

Observation 9bf54e87-07bd-437b-a360-9830a383be22 · outbound

This paper cites an unresolved cited work.

Sharp non-uniqueness of singular solutions to the one-dimensional periodic cubic nonlinear Schr\"odinger equation Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-12T00:54:29.254749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T00:54:28.299930Z digest=sha256:6c60fb83a5cf9eede2476978b0d5b8e991f9e33db59da1ad34ca5af8234acc51

Pith citing papers

No inbound Pith citation observations are available.