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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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:32.860803Z digest=sha256:93cdc540e0f079390beb25a7517f6d7f6091960fbb656aa9bcda5edc837c2cbb

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:32.910017Z digest=sha256:3e5d1c5abdb2d8332f5cda7d9479835498c76f98077e1955e12a320b18b2c250

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.017708Z digest=sha256:a64a562463a852ef05f492cd63e751187888b7f307aa50ffbc518d83a095c7f6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.047060Z digest=sha256:59ca6872ad085fec7370fd688c752276e9a3a90df290c4f7eace2f253d18b92a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.120852Z digest=sha256:2e58eb4f419f39fa546008f2a69d33f1895182fe1d2678d676a143bae065b607

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.165555Z digest=sha256:62d3e2ed35b42acc5260076258bb92dd6c336b16c3be3009381b7f3805e844c6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.210936Z digest=sha256:96bc48ac0eee2540dffd95a6b25f0812799461a177bacba657978e34cd59a5f9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.273064Z digest=sha256:ef58f11f23416515c31c3d9ffb6451b2575441be34a48797426969857ac50ab4

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.313052Z digest=sha256:d870f2020252fa6aa0b6c5f9f3d68d472e9b2e04424f99972856f7caf2fd6f96

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.360543Z digest=sha256:557ae71a23550cd656078e32c71953ab9ea57534a104e7564d2d823e6b748a89

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.422703Z digest=sha256:12a63d811303dc50a343ecdef72ca3cf497f31c4013b9f65cbb4037be4a1462b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.459066Z digest=sha256:87d058c9048b26a6d9c647cee26613b19465d7c53ff8793eafa81fc9c4f0a9e9

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.504673Z digest=sha256:a424823569a4441f6d73a5e066a560a2555fc5c6b702410b80bddbc3ccd60ed7

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.571470Z digest=sha256:9a3444cacfebd0effdac501f59d5ed403b31c3a8a29431ebe1eabf2f33d4b9d5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.593607Z digest=sha256:c2fba3efbbe61f5222f524c9228c1f72727d29d5086b2eb6b4f38f7314082c8c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.763162Z digest=sha256:e0ea23330525a4bba335b79425f0e62f8908f67b26a2149b30c51ca70a70070b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T20:52:33.840413Z digest=sha256:8384b22b7e3903c29736684312197554cf776ed18ff68c98112f539527679356

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