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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:dd2c7f147274672f563ee82f95eba34e2491d112794e5539ac227a8043e491d1

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=sha256:5da961364af32847e0ce8aa4c38dc8be92b59d834f371a3727aaff8e17267041

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=sha256:2461825b21d65988b1d7f78167dc9254830d76faf50b02bf6a78b73b46973228

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:f07e34f0f1589d72bc72a93319cce5c8f95e9725f04d238275fbc09d120468ba

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=sha256:360e56470f43748d84880cfb1cd060270b7fbcccc9f6c490a0a2ca23a477b6bd

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:c6ff24c8e7015b67e779c01f2cb2039a628a8714ab7d3d90b2789b677b5b8501

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=sha256:2464b96e1adcb845944b065803c1c902b2364fbfa4ac9f60b564cbc52265dd45

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:d346ad657f96f9a45e30588835f238f6b191f9d9143aa4f9b310b4576a4f5d33

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=sha256:79336e50c14d87e673999c9ac197ff8e01cb41f868de8170635a7f174b8b6fc2

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:cc2211a3c9afa0ef1a9ce5029a75d8bbbccf3f8e8ce2a70115f68a519f74ee2c

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=sha256:0a55ceb43e510dba01b4db446e0f64cd32df1332b02ea3b23b462aa94e753172

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:c4b51bd1a96e2dd148fe231b64cf3610755cae2f9584b7999f87cbd9b350a09e

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=sha256:7dad941fccca229007c84522adf83ae402c80b64d3d2b163011498cb2ecb98a6

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:a90d86cf269925a35f9bd765c9512e664c6af56f197380a7321ac1543be38a44

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:fa80d79370359ca86a3d9c828580c698a2042167c7167fde51e392cde7d667d8

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=sha256:5214af2bd0548b560d7ee57e8032bfbee74783fa65999cad14ac3711a72995e8

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=sha256:9904cb548551af24e440d54692600654a1abcbcf5031a8be0e5ccea723ffd34e

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=sha256:6cb61d1fb8b1aeb731203f7c14e0c81339e5c2b00ada1f35ef0ece128f9e3eae

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:fbc03c27b68d20a882e23a31d3b632bea4c102d892ab0e8733fddcd3fd4d941d

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:a73d7a00d16468088975552b4fa0cab9f5da66fc8825693f567df9779815cacf

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:efc33832da93e324a99d9739fc4c64eb4a5439e57e8c507993a33a0ea4527a78

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=sha256:9138a6e15d868366cfef07aa6d6e8026640fe62325bedd414e4b19bd6cf5c57d

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=sha256:4d169d0310d2c35aeb8cfe17bc1957d67fae60a8ec828daea4d5a27cad8285d0

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=sha256:89e841fec1288974dcd57b53f99776a1341b294be2bbe3b0e96c3aa8af52270d

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=sha256:55f434a20e19959649df4f190d2d35f2e43d0b9c64398e865bf5be0c894142ea

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=sha256:8e92cc85f13b6adb2e1d861212e685b62d79d1760bc7c43fa61976df4071bf9d

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=sha256:78a7e983e7613a85f50747c5b72efd7ee324d6077e8a4c89fbccbe11fc47cc53

Pith citing papers

No inbound Pith citation observations are available.