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Paper Citation Record · LEDGER

A symmetry theorem for localizable steady solutions of the 3D Euler equations

As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 3 inbound Pith citation observations for arXiv:2606.13462.

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

pith.paper-citation-record.v1
2606.13462 v1

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measured 22 of 22 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-06-27T06:02:32.032720Z

measured 25 of 25 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:50:56.042655Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-07-02T10:16:51.654978Z

Reference resolution

22 of 22 outbound references displayed

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Outbound references

Observation 836a2d31-44b7-4805-9b26-4c6cc67bf720 · outbound

This paper cites Aly, Some properties of toroidal isodynamic magnetostatic equilibria, Phys.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Aly, Some properties of toroidal isodynamic magnetostatic equilibria, Phys

Reference 1

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:335ba0c507230c6299e1d2cd49d407d265c6628e94692fc5a77966e11e7fb9dc

Observation 0681bc32-9c7c-4a41-a9b4-7b8fc6ef697b · outbound

This paper cites Arnold, B.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Arnold, B

Reference 2

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:fa239f0cab42589a5be781d82759a2ab06d52250f8db1e76067f1172ea2636c0

Observation d72f2472-10d4-4bc6-ba9b-de9c0083558f · outbound

This paper cites Baldi, Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations, J.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Baldi, Nearly toroidal, periodic and quasi-periodic motions of fluid particles driven by the Gavrilov solutions of the Euler equations, J

Reference 3

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:0acfb7917f4360f8370dd5fb41c39c8006bd61dc649f52634822a22f7960a74a

Observation fd71a44e-a704-494a-8435-d0a672516b3e · outbound

This paper cites Burby, N.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Burby, N

Reference 4

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:e2037928befae1cbe4ff723fb3fa3aa87722f051c119ea8ba91a82eb399bdf43

Observation 723bcf0f-a20f-4bf4-ba44-6f4bca9bf135 · outbound

This paper cites Constantin, T.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Constantin, T

Reference 5

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:9e6ef6821dc3cd37e3bc11cd29c07d952c11e7a1880da1b1bb8747bd8f063cb0

Observation 40cfd0ab-b95e-48a2-abd1-fd0b5feace16 · outbound

This paper cites Constantin, J.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Constantin, J

Reference 6

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:61f8b5c1252bb19f37b2fc4265821000b42e8691b6fd2ad5bb1cd30d0941c58c

Observation 46c2401a-7343-4d68-9f0e-449ac67caf1a · outbound

This paper cites Dom´ ınguez-V´ azquez, A.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Dom´ ınguez-V´ azquez, A

Reference 7

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:a709899fafacbcdc3d46a99eda8ede001540fc98c54d3969f7b77e8c870c2611

Observation 0a1ba1b8-00c5-4791-bb50-1d0f23b6adaf · outbound

This paper cites Elgindi, Y.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Elgindi, Y

Reference 8

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:7e988784cf1fc9f357c29b6ddfcd5d5d9e630a4ae13addad039c2b7889a1dfa0

Observation 6eb9de66-e6dd-4dce-9be8-1c812c003cf1 · outbound

This paper cites Enciso, A.J.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Enciso, A.J

Reference 9

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:ec7fc22a658654b9641a78570c593f5fdbceb1dc11d0fb034c067668e7be3076

Observation 6dc415f5-7f3e-42ed-bf2c-471da42642e4 · outbound

This paper cites Gavrilov, A steady Euler flow with compact support, Geom.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Gavrilov, A steady Euler flow with compact support, Geom

Reference 10

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:284db33af877ecf76034c05f9a22a245ca783b2292b52c6327e75d44869ca15a

Observation c08f340e-000a-4907-a4ed-aedc63a4cb9f · outbound

This paper cites G´ omez-Serrano, J.

A symmetry theorem for localizable steady solutions of the 3D Euler equations G´ omez-Serrano, J

Reference 11

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:0769a30e3a55312733d247f4cc87c788915b240c50f1942fd65d152d42426eb9

Observation 6e05fa58-b1bb-438a-9201-d4038d7f833a · outbound

This paper cites Grad, Toroidal containment of a plasma, Phys.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Grad, Toroidal containment of a plasma, Phys

Reference 12

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:f9a9af5a2b84f92f5549366d8466572932fa5cb9925b489c23418fe8ff817361

Observation d323d12b-def4-4cda-b21c-d713529b0222 · outbound

This paper cites Hamel, N.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Hamel, N

Reference 13

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:32e598b83b0a43c64ab40cb75d2472d0afe5dfe27eeafb0f2b26b1c2e1bd34e7

Observation 6c06bcd9-104f-49a0-acee-cccc34b1b758 · outbound

This paper cites Hamel, N.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Hamel, N

Reference 14

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:fa0f3d3453666c05d6e156ea23fbfba6b881f20145ec53c018959554a18f5ae7

Observation c20c17fd-b865-4a2a-ac1d-feaa65b53377 · outbound

This paper cites Lee, An Introduction to Smooth Manifolds (second edition), Springer, New York, 2013.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Lee, An Introduction to Smooth Manifolds (second edition), Springer, New York, 2013

Reference 15

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:b676258b93bf32b1ef98f4d19aca72c46bca06a28b502c9ff14e27a2704d248c

Observation d7dcb622-69f1-4873-a4d2-f56cb0791928 · outbound

This paper cites Palumbo, Some considerations on closed configurations of magnetohydrostatic equilibria, N.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Palumbo, Some considerations on closed configurations of magnetohydrostatic equilibria, N

Reference 16

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:2be7116e6e896edff70a82444c6bce82351dbd98540a891008d28e98b04b4830

Observation 44fc478c-2ba5-48d1-82b9-45fd1307da57 · outbound

This paper cites Palumbo, Some properties of MHS equilibrium toroidal equilibria and non-existence of the isodynamic stellarator, Atti Acc.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Palumbo, Some properties of MHS equilibrium toroidal equilibria and non-existence of the isodynamic stellarator, Atti Acc

Reference 17

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:b1bd12d70a810d47099b26e8f4e648b770f0e4c9143833db871e3b0638f50280

Observation 60ef4d27-6473-4828-98d9-3fc3f51762e5 · outbound

This paper cites Palumbo, M.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Palumbo, M

Reference 18

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:2cc797ea17d909b37cb4bdcf8faee3b278cf97bc5934b4f32de24f69e23f13c7

Observation 8a6939f2-518f-43bc-9757-fa1e356f9f58 · outbound

This paper cites Rodriguez, P.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Rodriguez, P

Reference 19

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:2eec941d1fe36070885ed32738128dfcd5d98a309770a4cac51471a1f5bf65e1

Observation 27c9cce6-f7d6-4a7e-91ad-ca369165f167 · outbound

This paper cites Ruiz, Symmetry results for compactly supported steady solutions of the 2D Euler equations, Arch.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Ruiz, Symmetry results for compactly supported steady solutions of the 2D Euler equations, Arch

Reference 20

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:d639a9ec262b79f60d1d7e8c2a3f11c355f63f4e08f932939762d88b02cdad2d

Observation 8e87a861-f021-47d2-abc9-dc671c9182fb · outbound

This paper cites Salat, Nonexistence of magnetohydrodynamic equilibria with poloidally closed field lines in the case of violated axisymmetry, Phys.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Salat, Nonexistence of magnetohydrodynamic equilibria with poloidally closed field lines in the case of violated axisymmetry, Phys

Reference 21

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:337a6391ec2a1470052796a0ed46ce12d5243463764e67d77a191d6fa0b92cae

Observation d66c7ee9-2620-49d2-8a8d-3606133c14e7 · outbound

This paper cites Schief, Nested toroidal flux surfaces in magnetohydrostatics.

A symmetry theorem for localizable steady solutions of the 3D Euler equations Schief, Nested toroidal flux surfaces in magnetohydrostatics

Reference 22

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source=pdf_text observed=2026-06-27T06:02:32.032720Z digest=sha256:ec5f96af3b1098a9db65f36594809199f6ae84ead68be83c7102c4a6a84eabac

Pith citing papers

Observation 27052e79-c466-41aa-8fd4-410a7edd3879 · inbound

A rigidity result for the 3D capillary liquid drop with constant vorticity cites this paper.

A rigidity result for the 3D capillary liquid drop with constant vorticity A symmetry theorem for localizable steady solutions of the 3D Euler equations

Reference 32

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source=arxiv_source observed=2026-07-02T10:10:01.205825Z digest=sha256:a77bb694a11024e8c9e38cc799aae2fc08eb94eeaa2efe05307f835c455605a0

Observation cff5daf9-e173-4ab9-871d-66a17e509a83 · inbound

Rigidity for capillary liquid drops of nearly circular section with constant vorticity cites this paper.

Rigidity for capillary liquid drops of nearly circular section with constant vorticity A symmetry theorem for localizable steady solutions of the 3D Euler equations

Reference 18

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source=arxiv_source observed=2026-08-01T16:56:45.773197Z digest=sha256:5105642639e644ce01b1d06edb499198ce7562a3a69c5a0232c5939e194853b1

Observation 854082f1-8849-4c72-8cc0-edb2744004d1 · inbound

Admissible Invariant-Torus Foliations for Steady Euler Flows cites this paper.

Admissible Invariant-Torus Foliations for Steady Euler Flows A symmetry theorem for localizable steady solutions of the 3D Euler equations

Reference 2003

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source=pdf_text observed=2026-08-16T00:50:56.042655Z digest=sha256:0f6d03b6b8d23fe74052f2d04797e5834ddc52c8916d9475bd2d0793c25556f5