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Paper Citation Record · LEDGER

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2507.02338.

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

pith.paper-citation-record.v1
2507.02338 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T20:52:33.840413Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T21:43:21.858345Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy11
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1ac5aec-e649-425d-a48e-f4029612d546 · outbound

This paper cites Albritton, E.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Albritton, E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:37.345928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:32.860803Z digest=sha256:53c43c38768c3b5594681cb7ecc9fb1a302ad303c313d77e6f392d509271522e

Observation 62f82a6c-cc4b-4365-b779-224138d687b3 · outbound

This paper cites Albritton, E.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Albritton, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:37.107961Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:32.910017Z digest=sha256:c4daf0a3d4a6c84d8696802737b6a79c4ccb492544ed7021f6827542f23ad2a3

Observation a90a25f2-36bf-43cb-b001-38ff91fe33cf · outbound

This paper cites Instability and nonuniqueness for the $2d$ Euler equations in vorticity form, after M. Vishik.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Instability and nonuniqueness for the $2d$ Euler equations in vorticity form, after M. Vishik

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T20:52:32.970958Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:52:32.970958Z digest=sha256:c3ed8a07b0aae59628059256e9f2d6646713268465965aecc12734f49cdfc80c

Observation 421f46cc-e0fb-4a5a-b316-005cd676b7c6 · outbound

This paper cites Albritton, M.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Albritton, M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:36.922612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.017708Z digest=sha256:0660e2a63496170a990f4dea6aee538b5394a00b752e62dd721b95272ccc67cf

Observation a628c9b2-8f40-4b6a-8807-2290e9c753b7 · outbound

This paper cites Engel, R.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Engel, R

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:36.797107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.047060Z digest=sha256:b36aecc234ff4c937d4525d2ed0a0ceb89b6f2fb90ac39281074d1fa8906285c

Observation 96b78d17-1d80-4a5e-924f-fa79d2f02e22 · outbound

This paper cites Gallay, C.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Gallay, C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:36.528513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.120852Z digest=sha256:d2f81015b635c984998e558452e02cb0bb35dbf57748fcae0ff33dfdff9f3a5c

Observation 5d7daf75-a896-4cb3-8b64-a03877c3c1ea · outbound

This paper cites G´ erard-Varet, Y.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space G´ erard-Varet, Y

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:36.380369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.165555Z digest=sha256:094c911bb672f2c846b852bdf2fa795997e51f4485dec0ae7fc4d9c9701a00e2

Observation 58ebe09c-9609-4aa5-b8f4-cf5eafa4d853 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:36.211076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.210936Z digest=sha256:3e38c7a551df2f28a74fdb46be0e17ccfc9329f372fe7cf67b3cc70b24371df1

Observation 384ba771-8a41-48e5-81f5-5e30ffee349e · outbound

This paper cites Kobayashi, T.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Kobayashi, T

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:35.961450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.273064Z digest=sha256:f74a23fb5a31af90eb5bb47ded8e97af5d640c306058592eb185068c343f1caa

Observation fbefaa22-fbf1-4897-b3b5-9ebff31c3111 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:35.763143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.313052Z digest=sha256:f686e3866fb26a88099c003d837a899fb816bd13afc55744cd4a383159acac3a

Observation 28849589-aeda-4222-b34e-2011d92cdb08 · outbound

This paper cites Lions, N.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Lions, N

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:35.548211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.360543Z digest=sha256:65850488d3b75d4e5e7736ada5b1cdc9b8ed1a997d09360f33c1a3d21e13313f

Observation 3eceac08-948c-4a58-97c8-54783aac3418 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:35.292235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.422703Z digest=sha256:1df19189d3d67b78e067137ba55e14183d5af88509fe78b6d879d01f0e1d4ab6

Observation 5f6d7fe1-316c-4f4d-87af-fc95bb9cb690 · outbound

This paper cites Okabe, Y.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Okabe, Y

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:35.089067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.459066Z digest=sha256:b3ebe4543abb53d199bfee16cf10d93ff8166e56b2694aedd7b5709ceccb39fb

Observation 67b6f118-4235-4ad5-a243-4f2c3b8e25c6 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:34.841719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.504673Z digest=sha256:a051cf9a9bf77b93c82d00d41a7b80aa651113d860b4dca3de49f46e04752016

Observation bf38a0a5-e6d7-4e78-80b4-9a1449d0e84d · outbound

This paper cites Solonnikov.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Solonnikov

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:34.594369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.571470Z digest=sha256:ed3be7601dacf17eb1cda532acd7fc9309142e2c53d26b79ceb708589bdfcab1

Observation aa7b4f2e-361a-45b6-9136-40e0dbb2a564 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:34.389356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.593607Z digest=sha256:3431cc7a62973c1803699029fc0d4af8e01b8e9ad4176b0e5f6bd9e244740fe6

Observation de7d2341-45e4-4d02-916c-7983fb4b996f · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part I

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-06T20:52:33.655317Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:52:33.655317Z digest=sha256:b8debad36123b21ff7b24fc26862968cfdf0e566154375ac3aac690290640daa

Observation 6f50ed23-39db-4eb3-a1a6-ca847fb4c33d · outbound

This paper cites Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Instability and non-uniqueness in the Cauchy problem for the Euler equations of an ideal incompressible fluid. Part II

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T20:52:33.718883Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T20:52:33.718883Z digest=sha256:9a0fe3316d45ce9f934b3117f1d6d51212ed57e4eb8b85ee08acef6c089186ee

Observation e5c3b23e-bf7d-471f-914f-465137e6f08e · outbound

This paper cites Yamazaki.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Yamazaki

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:52:34.246192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.763162Z digest=sha256:f364b66d8ac7fde38ee9919845bb9ff1e76d04b189911c84d3cba161384c20f1

Observation df36ec1f-522d-470c-b231-1e40a1f98ae6 · outbound

This paper cites an unresolved cited work.

Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:52:34.080892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-06T20:52:33.840413Z digest=sha256:7b14862d11685d7765ba5e32531a6d8d268036e0b79fdacaf1f6bccdc2f32ed6

Pith citing papers

Observation b7de97eb-2dac-494b-93bf-2324cd485acc · inbound

Sharp non-uniqueness for the Navier-Stokes equations in scaling critical spaces cites this paper.

Sharp non-uniqueness for the Navier-Stokes equations in scaling critical spaces Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-02T21:43:21.858345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T21:43:21.858345Z digest=sha256:2d339a48641193e89207d2a3b9fd81f1129cef96f1a7e799fb1498ea6264a4d1