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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 8 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 2026-08-07T06:34:17.273281+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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:32.860803Z digest=sha256:5d24f2a2a101b53fce561fc2fadac52e8914ff643ae984d7c4f8d902a9fa48ad

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:32.910017Z digest=sha256:b5775eec217efb6976df052e4b06775a5301778326707584e2423b19b6d714c9

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:f6f778d50594781fdf3f78250b2da7bb9867cded7aa34b9c28325b70908a1258

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.017708Z digest=sha256:44f37357406931f83466739ecebe5f0f5f586b73504d5a26c37e3bedc40f72d7

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.047060Z digest=sha256:a07892666a334d038c298d451cf44daa722a7bd4e47cf82e28d506085425f973

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.120852Z digest=sha256:4cc3cdeedc007cd66787208497c7a893fb611763ec709f2043dbedc267ed2ab8

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.165555Z digest=sha256:6723ed152943602152c945e70b14d9ed3dcbdc1a0fae200dbd10d445b791fa21

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.210936Z digest=sha256:0813db7c58830821e07f2e9752c62229d7a2174cfc057d18a587f444685ec779

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.273064Z digest=sha256:165ada305052769dd96648b286685b509fbd40377530339403d3984e63cc2670

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.313052Z digest=sha256:6a2b69cae2793e2f2bb97b3ef3129fb202f28ecd3c8eb864d4239c171cab879c

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.360543Z digest=sha256:12a2fdaf8478a5e2b677298a1f7dd71fb71741a63090c18af035c61c9446353b

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.422703Z digest=sha256:c4b383ded60d78fbd8ade35ded26ded22354d657b7f3ed0691cd1e9c4ecb7d6d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.459066Z digest=sha256:6fc1ba43dadb2a236a475aecadd2ad2b8b635cae0ed45c2421642fbfba8eecdd

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.504673Z digest=sha256:47978d52dd01e275a7a7b52617ff96bad2ce4b795bd3395979fc6e8bfc87ec97

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.571470Z digest=sha256:61b9c334ebd74d2fb5fa4d701a29f7d7a2c092d7eb0f483b405f6df515e15d4d

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.593607Z digest=sha256:0b1f7c6c01591434fe764662158529b78d9c142737fbf4bb65c9d9bd5abecc18

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=sha256:22b900b506541db63806ebae1af17dbde8ed9031a12fb0a94120d75176054386

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=sha256:18d4a31f61b9dc8cd3fa8dfac8901dd699287a02603ddc1f19e7646b417d7528

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.763162Z digest=sha256:bd9e2b2b050d29c84e02337fc1855ab9bfd20415a6732dfaf7b75d88ef1d5363

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T20:52:33.840413Z digest=sha256:bce3cfe08b14337b6fd07a7a7e9c25ada7e4ef11982c275bf67c5518c20835e3

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=sha256:5fefa4cb72ee8919f1f9960f9ac6a73edb701f32b5054696ea075d2ac68e0910