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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 2026-08-13T06:32:02.005865+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=sha256:2c82bb6cfb526b862e7950a6ec5c636cc8a2d1798fac42d63288cdda4ca05681

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.133609Z digest=sha256:795086cf93f7e81a4a6f29a6c9c22262e308bdd17171d0bc2c1f12daa4dfdfc5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.165428Z digest=sha256:c44e937717405fe910377140b458f54eca772c87b4ed447960bd43a02cf63ee2

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=sha256:517bbee53f197e0a16f2cb4304a2ea0adc315ae0af032917640679b3ebd7372c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.252086Z digest=sha256:3dc4cdc74843e11326c60f125b10b90a462382fa64ae98580f05614387ca76c3

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=sha256:7e27e84a0ee8eb7fe4afc89516c970600e20f197864fafbe24054153786dac12

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.354831Z digest=sha256:96a1e37883606ea1b9a76fa44a4aae014768c4cfd4a63d4b549cd00f08100a9b

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.403089Z digest=sha256:bd1e7fcc506d53dccf25f1f4c319e4f15ebf6a810a21e0ea4b28ea212c9d2411

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.444835Z digest=sha256:fbab0c0468beeac2c08a5d9a3209db401d090e5950a3d559eafc75a685ef3355

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.494832Z digest=sha256:ce01299a44de5e3d7310df7baf31d306a9087c4e663e3893a525bea480aa342d

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.554844Z digest=sha256:2590a147d0952156267522b3298ddf6f1b94b9aeac8a81136b78cad7b94109d4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.605058Z digest=sha256:3be65c2000f926094366b7418b222497c72c775d37cd77ac1b0fe06250e8b82f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.654853Z digest=sha256:e02747916d6c578fafbf4f4238ee798aa0a22170a34bdb3cf1ae5578706185aa

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.704758Z digest=sha256:08350e7fc07b8c6461048e16092d45a4a23e11576185306a8d343e2076750d48

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.754879Z digest=sha256:400bb3fc71af8d6dd8e1750c1ed1713226d57d432e0fce2257d1e1c2255b154e

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=sha256:0c27b9c958e26865f0ff671fabe304cd6a63edabe148865d09b8823eff4d38ee

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.854829Z digest=sha256:2eb8094d3f35c4589eef0656a32bf4f69500c94a0ce4c6d5fc8c1c8de575c991

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.894833Z digest=sha256:48c271362897ef3b31e566fe9edba151623ba1d17142192f176a870e448334ab

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.945152Z digest=sha256:69c8dac415aa88d39844fdb9838da81236e4ae2718becda05600441400d9d37f

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:27.994828Z digest=sha256:ef30bcceea0812fd197095172217e95b424d2d12956be2975a9377a6199a36f4

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.064828Z digest=sha256:ff8df2781c2345124b5c5e0bf0fbd796d61031918b18efc1582295430798fb71

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.134755Z digest=sha256:988c4d52ae013ef0833047ad9730c0b8aa61866acd6d028c415bd2fd2f6e5266

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.184763Z digest=sha256:ce2f7c1162baad72f867f5e2edf0d5e188f6f827c01aee79d2f5c1763d3ad390

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.210700Z digest=sha256:a5f6714860f2c9a97297f96ba7ff3a56b74e1593c41b9ffe6043141d5438437c

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.234824Z digest=sha256:84c3ef748a55be3130a9bf85ed191c6d6b5441db4333c1ef4b2b18800e7f8d6e

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.265218Z digest=sha256:000b3bc68cacad79e5bfc55daa1d7e85b9fd56c8f4626d0b3bebaa1bc611f168

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-12T00:54:28.299930Z digest=sha256:e56bf4638922ad5c40ba4b86033f83a4a4697edb68485e31d2378b5a34dd6b6f

Pith citing papers

No inbound Pith citation observations are available.