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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 12 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=sha256:14864f4f8e11f142873ca636942216522df43f812f0accaaf13e3cc33bc18724

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=sha256:6c36bc2a06550fdc13c0f135113e9d36212aea947ce6530ad013501a8d20003a

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=sha256:290d303df6ab9b0c1bfc3313cde22b5ffffbfdc7f28abf11cc0e7bf48f0abbb0

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=sha256:1ccdfe99a308724ce5bd9db62ec9a72e206177c96b82f2d3f7c853e96b6734bc

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=sha256:6e2b970b009c835ae13daa46ca617a8d969a825f8208ce673f497851e2ced9ca

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:b766aac10d97af256068d90e41e95c15700c426d08dd5ac6bf651a0d1c083e6c

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=sha256:7df4a638f62d9293f6d1617652c08dd8d4c045a0b68b9f0f3cc035fade5d1b8a

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:b7d58c38cb1928592c0c91086c70c3f1959f35cba3d009eb28a0826db4f4141b

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=sha256:7f7234d042a8d25e59b7ae8ae048970384b7cc19702a6aa30ca74971354f7c6f

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=sha256:427f81611a467c8c42a7d0f7a40eb07671d409e5560a2667894b32defd0aa50c

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:f371e86f5f04940cc3d8ca8812d0f9968aa0eced4b7144ff71175a5a789c2899

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=sha256:4c534cff22fc249fc738292b8aa6a80d41fed6d106ec39a3c389a95d22e9894a

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:ca28b6fc6036339af71f9914cee6a12a86242def20449338971492650ca133e1

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=sha256:1add6ed64616d443ed6f5925a200eb05afd9ae86906afdaa99dda9ab6c2fc133

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=sha256:2409706b1c9824af504ba3d01246e9e441767d2cda681ea8df33e066fde95c62

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:eee1b8fb2040a7e82b57ccbb10c55d1562eca87cec43899de3d326439c9100ce

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=sha256:27a645b648e57c9d99ab3b4e1704df565bf9dc7c5ffcf9a2d97c6d114e2a5ef7

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:d76e84ac623e322f67eec6a2486b5200f2782c2225f264f06c0381a8e7fbded1

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:dde7d8e16b03bb6983636e80a54acaa2b845b78f40b33b6120d62dec128ef767

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=sha256:52ce0e6509200b107a33fe127ba9b89bf800339742e9b43881ee644fc6de3a48

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=sha256:3de95fe0b2236dfda0b764124d0806a57aeeba94d841beb3b71b93a8b8e326f3

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:e9414594d71beab5672b7d9531db8fa700ad817a0cfd6e7fd09d08a7627c5bdd

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=sha256:0226217cc3849121d9f5ae9104fb0c498beef3f9071cc21923c4d7454d906c34

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=sha256:6b62aa5c6801c14154fe88c9ae8ec917ecda26b2dfa6901e549f7959a76d4178

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:f40353d2bdac5280581bccd4df793f6d0f2947f9d2c65f2fc82533e36564a61f

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=sha256:27220b0ae8cc4e5dd375cd460aa82ec5e444f1ee38aecbeff54621aaa23505a3

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=sha256:9b78170306c1ceb078949f97a744649488febbb2ff01517eae5d0ce5d2e43178

Pith citing papers

No inbound Pith citation observations are available.