Paper Citation Record · LEDGER

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2608.03654.

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pith.paper-citation-record.v1
2608.03654 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T15:26:40.684987Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy28
unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6a3caf3a-8f04-4494-8a5c-0d34d1d58448 · outbound

This paper cites Time quasi-periodic vortex patches.Inventiones Mathematicae, 233(3):1–113, 2023.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Time quasi-periodic vortex patches.Inventiones Mathematicae, 233(3):1–113, 2023

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.055371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation aea74753-0459-47e6-92b1-edb55c938e32 · outbound

This paper cites Motions of vortex patches.Letters in Mathematical Physics, 6(1):1–16, 1982.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Motions of vortex patches.Letters in Mathematical Physics, 6(1):1–16, 1982

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.046102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57fad3f5-7ae1-4b62-badf-0f204af4b3c9 · outbound

This paper cites Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations.Duke Mathematical Journal, 165(5):935–984, 2016.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Existence and regularity of rotating global solutions for the generalized surface quasi-geostrophic equations.Duke Mathematical Journal, 165(5):935–984, 2016

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.037055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1cbe0f41-88cb-4cf7-8767-1fef592053b1 · outbound

This paper cites Uniformly rotating smooth solutions for the in- compressible 2d Euler equations.Archive for Rational Mechanics and Analysis, 231(2):719–785, 2019.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Uniformly rotating smooth solutions for the in- compressible 2d Euler equations.Archive for Rational Mechanics and Analysis, 231(2):719–785, 2019

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.027997Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1d45edb1-2ba0-4f66-a014-9927a4bc362c · outbound

This paper cites Gluing methods for vortex dynamics in Euler flows.Archive for Rational Mechanics and Analysis, 235(3):1467–1530, 2020.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Gluing methods for vortex dynamics in Euler flows.Archive for Rational Mechanics and Analysis, 235(3):1467–1530, 2020

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.018498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d356641a-bafa-4059-bc38-68d1e73b1d00 · outbound

This paper cites An analytical and numerical study of steady patches in the disc.Analysis & PDE, 9(7):1609–1670, 2016.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes An analytical and numerical study of steady patches in the disc.Analysis & PDE, 9(7):1609–1670, 2016

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:41.008010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 050b99b8-b187-4d85-be2b-55c25b843107 · outbound

This paper cites Doubly connectedV-states for the planar Euler equations.SIAM Journal on Mathematical Analysis, 48(3):1892–1928, 2016.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Doubly connectedV-states for the planar Euler equations.SIAM Journal on Mathematical Analysis, 48(3):1892–1928, 2016

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.998942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8e90097e-2462-461a-b68f-b7b67c660bd8 · outbound

This paper cites Vstates,.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Vstates,

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.989249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 07ae40a2-921a-4b96-a3be-5bf07b413a4c · outbound

This paper cites Dontchev and R.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Dontchev and R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.980173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 50934311-b094-4d26-9a6a-eac006f4f0f0 · outbound

This paper cites Dritschel.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Dritschel

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.971371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f2552377-f91d-468f-a7d0-6befe9792621 · outbound

This paper cites K´ arm´ an vortex street in incompressible fluid models.Nonlinearity, 33(4):1625–1676, 2020.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes K´ arm´ an vortex street in incompressible fluid models.Nonlinearity, 33(4):1625–1676, 2020

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.961649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6bd12a7e-214f-4857-b595-ff05706236c3 · outbound

This paper cites Vortex patches choreography for active scalar equations.Journal of Nonlinear Science, 31(5):Paper No.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Vortex patches choreography for active scalar equations.Journal of Nonlinear Science, 31(5):Paper No

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.951888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b139c035-d2e2-474f-99c0-ea387b4790f6 · outbound

This paper cites Survey on periodic vortex patches.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Survey on periodic vortex patches

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T15:26:40.726392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5815e426-d4b5-42de-9732-113a8ce2a9e0 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.943109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 56fd0d64-9d02-4817-8de0-0b29e0ecd064 · outbound

This paper cites Time Periodic Solutions for 3D Quasi-Geostrophic Model.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Time Periodic Solutions for 3D Quasi-Geostrophic Model

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.934038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f99ec475-d0bc-4927-8d79-a3f01a6ec926 · outbound

This paper cites Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations.Archive for Rational Mechanics and Analysis, 238(2):929–1085, 2020.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Non uniform rotating vortices and periodic orbits for the two-dimensional Euler equations.Archive for Rational Mechanics and Analysis, 238(2):929–1085, 2020

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.924134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3912167a-abfe-41d9-acc7-ad5a2c644ea1 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.915099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b1e8a374-ed66-4133-bc06-480c98e84e81 · outbound

This paper cites Symmetry in stationary and uniformly-rotating solutions of active scalar equations.Duke Mathematical Journal, 170(13):2957–3038, 2021.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Symmetry in stationary and uniformly-rotating solutions of active scalar equations.Duke Mathematical Journal, 170(13):2957–3038, 2021

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.905970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6c79f2ce-b244-4197-b9f4-f772bb896505 · outbound

This paper cites PhD thesis, Georg- August-Universit¨ at G¨ ottingen, Z¨ urich, 1877.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes PhD thesis, Georg- August-Universit¨ at G¨ ottingen, Z¨ urich, 1877

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.897218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 21c06a6e-eb7d-41be-89ee-e0f0b6ef12cb · outbound

This paper cites Steady asymmetric vortex pairs for Euler equations.Discrete and Con- tinuous Dynamical Systems, 41(4):1939–1969, 2021.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Steady asymmetric vortex pairs for Euler equations.Discrete and Con- tinuous Dynamical Systems, 41(4):1939–1969, 2021

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.888226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 230a2292-7123-44ca-9669-c4d468a5f668 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.878909Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a8bed288-eb0e-4005-94bb-3da91cd3ec62 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.870218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f70d80f1-4fe1-466c-8026-7c8fc400fffc · outbound

This paper cites On the trivial solutions for the rotating patch model.Journal of Evolution Equations, 15(4):801–816, 2015.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes On the trivial solutions for the rotating patch model.Journal of Evolution Equations, 15(4):801–816, 2015

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.861538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a74d127-e024-4abd-849c-3717c3cc6b54 · outbound

This paper cites Bifurcation of rotating patches from Kirchhoff vortices.Discrete and Con- tinuous Dynamical Systems, 36(10):5401–5422, 2016.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Bifurcation of rotating patches from Kirchhoff vortices.Discrete and Con- tinuous Dynamical Systems, 36(10):5401–5422, 2016

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.852167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2582bc5f-c100-4a43-aad7-d1862ea3907f · outbound

This paper cites Degenerate bifurcation of the rotating patches.Advances in Mathematics, 302:799–850, 2016.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Degenerate bifurcation of the rotating patches.Advances in Mathematics, 302:799–850, 2016

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.843351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6b7ad0c6-2098-4e4a-bfee-02980169482d · outbound

This paper cites Existence of corotating and counter-rotating vortex pairs for active scalar equations.Communications in Mathematical Physics, 350(2):699–747, 2017.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Existence of corotating and counter-rotating vortex pairs for active scalar equations.Communications in Mathematical Physics, 350(2):699–747, 2017

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.833365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6c932c77-581b-4247-a658-ad5b3934dc6d · outbound

This paper cites Boundary regularity of rotating vortex patches.Archive for Rational Mechanics and Analysis, 209(1):171–208, 2013.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Boundary regularity of rotating vortex patches.Archive for Rational Mechanics and Analysis, 209(1):171–208, 2013

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.823292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c97d0b09-83d1-45b7-acb8-6c1288ae083a · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.814012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 116a5a7d-01ce-47ad-84a4-de8ac798e224 · outbound

This paper cites Kirchhoff.Vorlesungen ¨ uber mathematische Physik.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Kirchhoff.Vorlesungen ¨ uber mathematische Physik

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.804023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a8f41433-dd9e-4deb-a226-bf1e5521be89 · outbound

This paper cites Springer-Verlag, New York, 1994.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Springer-Verlag, New York, 1994

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.794397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d2c3a2b3-d63e-4f29-afb9-da8a576e71c1 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.785447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 70bdb53e-c4a5-4a51-a5ca-cae08b0580f9 · outbound

This paper cites an unresolved cited work.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-05T15:26:40.774819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d735b57c-f5bb-46b4-a8d2-d483b723daac · outbound

This paper cites Corotating steady vortex flows with n-fold symmetry.Nonlinear Analysis.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Corotating steady vortex flows with n-fold symmetry.Nonlinear Analysis

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.765364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9c37d0af-64a7-48d4-bd6e-61507106d039 · outbound

This paper cites Stirring vortices with vorticity holes.Procedia IUTAM, 7:127–134, 2013.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Stirring vortices with vorticity holes.Procedia IUTAM, 7:127–134, 2013

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.755992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5dc16ceb-fa08-4701-945d-a38d5a0ca416 · outbound

This paper cites Desingularizations of systems of point vortices.Physica D: Nonlinear Phenomena, 32(2):277– 295, 1988.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Desingularizations of systems of point vortices.Physica D: Nonlinear Phenomena, 32(2):277– 295, 1988

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.746529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f3231b1-6863-45d8-a36c-f2fba1c07488 · outbound

This paper cites Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Degenerate bifurcations of two-fold doubly-connected uniformly rotating vortex patches

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-05T15:26:40.681594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7584584-206a-45af-995e-16fc9ed8002e · outbound

This paper cites Modeling Nature.

Uniformly Rotating Euler Configurations with Multiple Vorticity Holes Modeling Nature

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T15:26:40.737240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

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