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Paper Citation Record · LEDGER

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem

As of 12 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2306.03498.

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

pith.paper-citation-record.v1
2306.03498 v5

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T08:51:28.373551Z

measured 34 of 34 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:54:17.161941Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:54:17.233004Z

Reference resolution

33 of 33 outbound references displayed

  • verified exact2
  • verified fuzzy25
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c0958b05-1730-4b36-8ec5-13789ea43677 · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.650995Z

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.

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Observation 873e7564-64ed-48c1-b833-b4fd4a022eb3 · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.645817Z

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.

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Observation 3a6977ff-0d37-469d-8386-33eb67e12feb · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.642325Z

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.

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Observation 81c410a3-9640-4b52-85f6-376de190c54f · outbound

This paper cites Motions of vortex patches.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Motions of vortex patches

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.634471Z

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.

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Observation 2e3d739f-c74c-4b95-a8f2-4cd9daa2e3c8 · outbound

This paper cites Caffarelli.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Caffarelli

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.655630Z

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.

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Observation bd4501bd-1a36-490f-886a-514a639144af · outbound

This paper cites Uniformly rotating analytic global patch solutions for active scalars.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Uniformly rotating analytic global patch solutions for active scalars

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.630249Z

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=2026-05-24T08:51:28.373551Z digest=sha256:8228ae53c729fbba96f87cd3d44f18f1b0ad73f942ee2964ffc15365f451afd4

Observation ee913116-a525-4f47-b783-9a1601455ccc · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.625243Z

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=2026-05-24T08:51:28.373551Z digest=sha256:0ce7dda75a22f10fdab6ed24e82761fe38e30f5e86f26476651749d976a173e2

Observation 2f291976-6029-42ba-81d3-08cc3a3f42fd · outbound

This paper cites Perfect incompressible fluids, volume 14 of Oxford Lecture Series in Math- ematics and its Applications.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Perfect incompressible fluids, volume 14 of Oxford Lecture Series in Math- ematics and its Applications

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.618590Z

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=2026-05-24T08:51:28.373551Z digest=sha256:b93680a4ebfc1c95c607c2410bf13b8374a86d6df5c3929b00bf8cb57f4302c8

Observation 790f164b-1d0f-4174-8116-2c6d52d45788 · outbound

This paper cites Doubly connectedV -states for the planar Euler equations.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Doubly connectedV -states for the planar Euler equations

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.614150Z

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=2026-05-24T08:51:28.373551Z digest=sha256:868b739f352bb19a822f0f029009e447880ccb1300461d488ced4f5745252c61

Observation 691a13eb-e274-4da1-818f-9d95cd4e78a1 · outbound

This paper cites Elgindi and In-Jee Jeong.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Elgindi and In-Jee Jeong

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.610928Z

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=2026-05-24T08:51:28.373551Z digest=sha256:dd3732e26dc33fe5a6f2bb23103fa193bd16bb6d32cc3cde18c7b62226eaed51

Observation 7958909e-4119-441a-968c-5f1290d444e4 · outbound

This paper cites Theory and practice of finite elements , volume 159 of Applied Mathematical Sciences.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Theory and practice of finite elements , volume 159 of Applied Mathematical Sciences

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.608030Z

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=2026-05-24T08:51:28.373551Z digest=sha256:97be29f036156b3c842d278c9e2f6d918320c548a645ef06b311608388b81aef

Observation a666c98a-d5b2-4d1c-acd7-412b745ef8ae · outbound

This paper cites Generic regularity of free boundaries for the obstacle problem.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Generic regularity of free boundaries for the obstacle problem

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.605266Z

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=2026-05-24T08:51:28.373551Z digest=sha256:c98ef0b6ebf4bf98d610c1eb8b3fc2fe4fe57622738f3f79572a861a7143f486

Observation 6689cd00-11e4-4360-9fe8-59218e7b5b7b · outbound

This paper cites On the fine structure of the free boundary for the classical obstacle problem.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem On the fine structure of the free boundary for the classical obstacle problem

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.602464Z

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.

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Observation 3c103324-1d1b-44ae-81c8-1ce32222b001 · outbound

This paper cites Global bifurcation for corotating and counter-rotating vortex pairs.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Global bifurcation for corotating and counter-rotating vortex pairs

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-24T08:54:15.933454Z

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.

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Observation 58bb94a5-25ba-4444-897a-5d862da230bd · outbound

This paper cites Symmetry in stationary and uni- formly rotating solutions of active scalar equations.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Symmetry in stationary and uni- formly rotating solutions of active scalar equations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.599634Z

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=2026-05-24T08:51:28.373551Z digest=sha256:f9342a1fdac41d6aec4bf96be4ef3dc3063320f987067faaee327b1fd0318531

Observation 5383f73d-72f5-404b-a819-00ef7237496f · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.596188Z

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=2026-05-24T08:51:28.373551Z digest=sha256:2e3158a7dd5091cb4905256041393ee02b8b8e7beba23703cdda24f719c54aff

Observation 8d03aa47-d2a5-4a04-806f-fe261e0cd7e6 · outbound

This paper cites Bifurcation of rotating patches from Kirchhoff vortices.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Bifurcation of rotating patches from Kirchhoff vortices

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.593178Z

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=2026-05-24T08:51:28.373551Z digest=sha256:83a9132c8f9b1bd45bebcbbd62fc89e41c4f6341b2312326df81b1f816a1a2d9

Observation 166b25c6-4980-48d9-98c6-efdf6de914a8 · outbound

This paper cites Degenerate bifurcation of the rotating patches.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Degenerate bifurcation of the rotating patches

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.589955Z

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=2026-05-24T08:51:28.373551Z digest=sha256:5659504c2327a05185aa656717100d5e8d4d12b6b7eae38cc17cf9ee18fe2fad

Observation da8838e6-95cb-4216-9a9d-e354735639e2 · outbound

This paper cites Boundary regularity of rotating vortex patches.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Boundary regularity of rotating vortex patches

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.587179Z

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=2026-05-24T08:51:28.373551Z digest=sha256:a51867a84b52dba0955d88106f6eecab9028548a0f3fc98751b356bfffa38004

Observation d1145713-de00-4961-b555-36860b352049 · outbound

This paper cites Margulis.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Margulis

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.584506Z

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=2026-05-24T08:51:28.373551Z digest=sha256:99806d90a5f74ce0238cae4075904fa817b65ec609ddc9a98428c4468a94c485

Observation 098e7611-6125-489d-bb56-08ef8c87b622 · outbound

This paper cites Kinderlehrer, L.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Kinderlehrer, L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.581673Z

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=2026-05-24T08:51:28.373551Z digest=sha256:8028331d6cb6ef7566571b743198e905f92b47ee67b9075bc64a4212df338d75

Observation d1a362d5-e534-43b8-a085-3fbcb2b658ff · outbound

This paper cites Global regularity and fast small-scale formation for Euler patch equation in a smooth domain.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Global regularity and fast small-scale formation for Euler patch equation in a smooth domain

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.578812Z

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=2026-05-24T08:51:28.373551Z digest=sha256:97e8d119e06de62617de033a2f8845eea1e7f53fad19519e4abf20bb8649338a

Observation 3c095ce5-4e70-4a2a-81fa-0cea2a5ad248 · outbound

This paper cites Illposedness of C 2 vortex patches.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Illposedness of C 2 vortex patches

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.575877Z

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=2026-05-24T08:51:28.373551Z digest=sha256:f1b156f28a6341030196eaf088983309ad5d86477de0504d52c9f05c33c1a20e

Observation 540ffb3f-acc4-40d4-a006-7b0a8ed9bb0b · outbound

This paper cites Small scale creation for solutions of the incompressible two-dimensional Euler equation.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Small scale creation for solutions of the incompressible two-dimensional Euler equation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.572930Z

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=2026-05-24T08:51:28.373551Z digest=sha256:4feb1b3d2ee4db15885fbf5504612c0f63d6fd06d1c9e04f92459afd753a1275

Observation f721f22a-6f39-4a68-bb45-0fa5f9015178 · outbound

This paper cites Mathematical theory of incompressible nonviscous flu- ids, volume 96 of Applied Mathematical Sciences.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Mathematical theory of incompressible nonviscous flu- ids, volume 96 of Applied Mathematical Sciences

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.570455Z

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=2026-05-24T08:51:28.373551Z digest=sha256:bfefee8b1779a6e9f641561e9ba2aae8490b1142ae885ae26681256964ddaeda

Observation 86daf117-8203-4699-ac2d-4289eab4cd3e · outbound

This paper cites Monneau and G.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Monneau and G

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.568075Z

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=2026-05-24T08:51:28.373551Z digest=sha256:1ac4d965921d84ca94cb9a6baeea89fd315f7edea79a7aaafe128849efd645e0

Observation 9881c01a-6ed0-416c-a5df-3c73a3c3298e · outbound

This paper cites Overman, II.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Overman, II

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.565334Z

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=2026-05-24T08:51:28.373551Z digest=sha256:488a42e8813b6641d45571596210567fda1116ef63df914052a6ccf8593813ac

Observation 132a3d66-8745-4dbb-ad2f-bc1349ac5c90 · outbound

This paper cites Quantitative estimates for uniformly-rotating vortex patches.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Quantitative estimates for uniformly-rotating vortex patches

Reference 28

Resolution
verified exact
arxiv_id, observed 2026-05-24T08:54:15.928014Z

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=2026-05-24T08:51:28.373551Z digest=sha256:cc0fe8edd1bf6f1b44e1507940af78feab149391bb53e4d3a2c3964f2d8546fb

Observation 3c414e17-607d-4d52-ac66-2a8a64b26ccb · outbound

This paper cites Une preuve directe d’existence globale des vortex patches 2D.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Une preuve directe d’existence globale des vortex patches 2D

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.562421Z

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=2026-05-24T08:51:28.373551Z digest=sha256:06a7566f652fb47c5f16002e83c129480360bff1c0dfe4e28358bb969208502e

Observation 363d3285-5ba0-4721-b2af-b2de1995742a · outbound

This paper cites On steady vortex flow in two dimensions.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem On steady vortex flow in two dimensions

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.560015Z

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=2026-05-24T08:51:28.373551Z digest=sha256:0b1ce916e0471979da3a63e757e0ce7653237fab2d4a76377dc523c8991065b7

Observation ab4ea76a-9384-49b3-bda2-ce865a442eab · outbound

This paper cites The global regularity of vortex patches revisited.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem The global regularity of vortex patches revisited

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.557582Z

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=2026-05-24T08:51:28.373551Z digest=sha256:66bd3e0f7ff8790d2d24b2bb889ab13766135a1189a4da32db2f78318b408aea

Observation 579ac652-816a-41ad-a688-d6e15a9407ce · outbound

This paper cites an unresolved cited work.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-05-24T08:54:16.555025Z

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=2026-05-24T08:51:28.373551Z digest=sha256:335e8673670f1b27abc05f38f9c7991010de09dc66ebc2b7135cd4691777bc07

Observation 0b63539e-6cc4-4451-9778-aaf4c98acc24 · outbound

This paper cites Non-stationary flows of an ideal incompressible fluid.

Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem Non-stationary flows of an ideal incompressible fluid

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T08:54:16.552275Z

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=2026-05-24T08:51:28.373551Z digest=sha256:f47d5c8c64c4e84b8560742ad465ac6fae91cadb90dad2ebc22df376ca6ecd0f

Pith citing papers

Observation af9e8d3a-4005-469c-b5b7-c5a970958b09 · inbound

Finite-time self-similar implosion of hollow vortices cites this paper.

Finite-time self-similar implosion of hollow vortices Boundary regularity of uniformly rotating vortex patches and an unstable elliptic free boundary problem

Reference 50

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:54:17.244764Z

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=2026-08-07T10:54:17.161941Z digest=sha256:e165d3505c9455ea60cc9f93db06829851261bc48a696bc1ccc6e10ad9b55499