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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:ef5827a1f5ce21fdb62bc2ea986d89bd02926ee047997b905af4acb9a8c10dc4

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=sha256:4a0d0c4a1dc01a6e5065a397723426ac00a9015692a470dbcdd9213c3a6ce2b7

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=sha256:38df9a267ccfbb492e8fc21f4ff80ae5c0639af9a7e785be2eaf902f2c3ac1f6

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=sha256:1fc3d64caf430ec97afc1362f5b0d3e192376ab034c06267408b4862d012da2a

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=sha256:6d6e8f470688e52f829e68f40109095c03a35fbb87b65abcc215dd1b6e005172

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=sha256:5f9de3d7fa8bc2c395b547b6b4ff03eba85d5700276ec056fd151f5f195536e7

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:a468d487d89e77dc2bf1a2186cbcbf749e162512aa2f39fef97535b312fbf9c1

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:b4cde2951c5c128b88d5efa30befae7f91c59b5c3fa4a810f94b8d24a4add552

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=sha256:61d65711a43c9581a578ef91970b143001ba1f90ad314ba58f1501354ddc764c

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=sha256:4e705bb385fac8408a38358d7d9be79677d8bfdd3f76fede6c633cf48514526a

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:d6fe7310ae0759eea38e89abd521b298a4c3d326b56beba1e3c11a0f025dfedd

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=sha256:260a2f5077712069e323bbd17dcad2263fd15f4f556958f3b165a85a72a24c00

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:d95bbdd2307ccbaab1d34ffacf0fcc6e4bbd76a4a31fe4fc4ae92c93875dcc38

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:b94936e8c564aea5632ae128e4f115b54cf213bd83131879f52559635285ec30

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=sha256:74e00a9ad7aa7a8163b1f56b3c262d58c65c1a4e60d9d90f4db5b774700bc978

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=sha256:8e828c13dba7c200c52bd460951e722fa6ca9b26bb7c98a85b9603556869597a

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=sha256:46eb7d5f83d659c40f11cc4383d3c74f3ad811f5f3a8e126b338d165e48de856

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=sha256:026b04cfb31273a621ed6cde7197ba8b5abac12d14ea1d7f0de5b133f54116aa

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=sha256:04365132b974b0f39bdc661002ea2325bfa78dd29a4bbcd3aa0e52007b5e95d5

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=sha256:5efba55fb3e3798784a7c712fe10107ba3e402a034b287da958980ce1433e294

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=sha256:45db256ff94daf0d75b239124cce35cb7764cc18ed1265ad41879b1d05435eb3

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=sha256:74f4ee360588f84ed1812246f23ccd22b97126d5743a1bcbd9130a8e60a6d9ac

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=sha256:6aa6be19bfebc0960f543e13b6a579d697954a1350a38235e3af2cc2f0cc6975

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=sha256:55278899545715c628db0e5a9983f29ee1d19eede4fad3e5053b220cfaee8d70

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:ae7308d55af3b32210b1bb52f02805e69cea238e2cfa9f1913c5834df3ffb7b2

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:ac731b3856c0732c8f08a269e79f862aa520c02c93df5defd0760d5562ecc009

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=sha256:45afae0164caeda78f7e6983ecc578feee63dae4cd133081587b18f7945b9e5b

Pith citing papers

No inbound Pith citation observations are available.