Pith. sign in

Paper Citation Record · LEDGER

On the flexibility of 2D Euler steady states

As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2604.12962.

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

pith.paper-citation-record.v1
2604.12962 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-12T02:04:05.133888Z

measured 35 of 35 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 2026-07-09T07:48:35.443838Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T07:56:04.775877Z

Reference resolution

34 of 34 outbound references displayed

  • verified exact3
  • verified fuzzy29
  • unresolved1
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c99c23a7-81dd-497f-a161-79516bb6f5b8 · outbound

This paper cites Conditions for nonlinear stability of steady plane curvilinear flows ofan ideal fluid.

On the flexibility of 2D Euler steady states Conditions for nonlinear stability of steady plane curvilinear flows ofan ideal fluid

Reference 1

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verified fuzzy
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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 0eac6947-397b-4315-aaba-b89b62a9acb6 · outbound

This paper cites Springer.

On the flexibility of 2D Euler steady states Springer

Reference 2

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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 5e4914f5-4a47-4234-a845-43cd09831c46 · outbound

This paper cites An a priori estimate in the theory of hydrodynamic stability.Izv.

On the flexibility of 2D Euler steady states An a priori estimate in the theory of hydrodynamic stability.Izv

Reference 3

Resolution
verified fuzzy
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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 6219499e-bd43-47e0-b63e-2749449ca790 · outbound

This paper cites Quasiconvexity at the boundary, positivity of the second variation and elastic stability.Archive for Rational Mechanics and Analysis, 86(3):251–277.

On the flexibility of 2D Euler steady states Quasiconvexity at the boundary, positivity of the second variation and elastic stability.Archive for Rational Mechanics and Analysis, 86(3):251–277

Reference 4

Resolution
verified fuzzy
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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=2026-05-12T02:04:05.133888Z digest=sha256:ca61960bd22dc21cbf274c829cd8840783b996d5956e7cb29221280a2868a181

Observation cb87c6c0-8673-4063-9e16-9fe47106e79c · outbound

This paper cites an unresolved cited work.

On the flexibility of 2D Euler steady states Unresolved cited work

Reference 5

Resolution
unresolved
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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=2026-05-12T02:04:05.133888Z digest=sha256:93be16fb23a7ef6f0d9afb17b13b617c9175be7362f30ac5f1451c8795828a2f

Observation 1e352700-7a5d-4049-9ce1-970f9a667c05 · outbound

This paper cites Instability of two- dimensional taylor-green vortices.

On the flexibility of 2D Euler steady states Instability of two- dimensional taylor-green vortices

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-12T02:06:15.084703Z

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 98d39be9-c2bf-4c70-9497-eb6aa083b886 · outbound

This paper cites Local structure of the set of steady-state solutions to the 2D incompressible Euler equations.Geom.

On the flexibility of 2D Euler steady states Local structure of the set of steady-state solutions to the 2D incompressible Euler equations.Geom

Reference 7

Resolution
verified fuzzy
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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=2026-05-12T02:04:05.133888Z digest=sha256:71a826401a12b4e09e9cadf88b42f40c2bb84804e9fec2a6ba9e1fdaa38ed7ad

Observation 09075d73-dbdd-4b07-b62e-dce7d21e256b · outbound

This paper cites Flexibility and rigidity in steady fluid motion.Comm.

On the flexibility of 2D Euler steady states Flexibility and rigidity in steady fluid motion.Comm

Reference 8

Resolution
verified fuzzy
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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=2026-05-12T02:04:05.133888Z digest=sha256:56587736681251b7f4b549295dd251aa1ebf9e1cca7a2f6a14981088b54a19df

Observation fb2158f7-ae92-4c63-8537-a7764e3ac3dc · outbound

This paper cites Stationary structures near the kol- mogorov and poiseuille flows in the 2d euler equations.Archive for Rational Mechanics and Analysis, 247(1):12.

On the flexibility of 2D Euler steady states Stationary structures near the kol- mogorov and poiseuille flows in the 2d euler equations.Archive for Rational Mechanics and Analysis, 247(1):12

Reference 9

Resolution
verified fuzzy
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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 d7ff887d-ec20-4221-8625-5c6f5d3895fe · outbound

This paper cites Singularity formation in the incompressible Euler equation in finite and infinite time.EMS Surv.

On the flexibility of 2D Euler steady states Singularity formation in the incompressible Euler equation in finite and infinite time.EMS Surv

Reference 10

Resolution
verified fuzzy
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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=2026-05-12T02:04:05.133888Z digest=sha256:cd1b120ecc980c265c7eb4adea3bf15335d2490702062c84a6687cc4f941da3e

Observation a3a0cca5-16fd-4876-8a1a-80e7272a4220 · outbound

This paper cites A geometric characterization of steady laminar flow.

On the flexibility of 2D Euler steady states A geometric characterization of steady laminar flow

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-12T02:06:15.076169Z

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 3dbf928c-e96a-4b80-9cfb-a7c78e39ccce · outbound

This paper cites Regular and singular steady states of the 2D incompressible Euler equations near the Bahouri-Chemin patch.Arch.

On the flexibility of 2D Euler steady states Regular and singular steady states of the 2D incompressible Euler equations near the Bahouri-Chemin patch.Arch

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.505020Z

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=2026-05-12T02:04:05.133888Z digest=sha256:99b1d4ad332ac5c0ea433d2d5c0626ff29dc7acfccda96bf8634436cbc099b5e

Observation d3d69423-3ffd-4555-9ebe-fc2d7674f348 · outbound

This paper cites A classification theorem for steady euler flows.Duke Mathematical Journal.

On the flexibility of 2D Euler steady states A classification theorem for steady euler flows.Duke Mathematical Journal

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.517708Z

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 bf61a0d1-bce7-4216-bfac-74ed601e44d6 · outbound

This paper cites Smooth nonradial stationary Euler flows on the plane with compact support.

On the flexibility of 2D Euler steady states Smooth nonradial stationary Euler flows on the plane with compact support

Reference 14

Resolution
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arxiv_id, observed 2026-05-12T02:06:15.072609Z

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 0025ba0d-9b15-4f17-9d00-2233f1984c17 · outbound

This paper cites Existence of non-trivial non-concentrated com- pactly supported stationary solutions of the 2D Euler equation with finite energy.Mem.

On the flexibility of 2D Euler steady states Existence of non-trivial non-concentrated com- pactly supported stationary solutions of the 2D Euler equation with finite energy.Mem

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.519859Z

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=2026-05-12T02:04:05.133888Z digest=sha256:e451f89928e9cfa60c06a15a52c9078e1903005fd1e2013f3db6e5b13e504b89

Observation 0e78f623-adf9-4abb-8211-65c4eb9628a3 · outbound

This paper cites Symmetry in stationary and uniformly rotating solutions of active scalar equations.Duke Math.

On the flexibility of 2D Euler steady states Symmetry in stationary and uniformly rotating solutions of active scalar equations.Duke Math

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.509279Z

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=2026-05-12T02:04:05.133888Z digest=sha256:127e546f85d4764e0ca0c224236c5e64b4882339491cf0a74e4015f2e3a04ad5

Observation 9fdc3eef-9f6e-471c-91bd-04b75028c598 · outbound

This paper cites On a classification of steady solutions to two-dimensional Euler equations.

On the flexibility of 2D Euler steady states On a classification of steady solutions to two-dimensional Euler equations

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-12T02:06:15.081121Z

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 c0f223ba-3431-4648-b56c-56c2421db031 · outbound

This paper cites Shear flows of an ideal fluid and elliptic equations in unbounded domains.Comm.

On the flexibility of 2D Euler steady states Shear flows of an ideal fluid and elliptic equations in unbounded domains.Comm

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.502694Z

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=2026-05-12T02:04:05.133888Z digest=sha256:d4dc9ed871df79919609c9f816f856e1dcd3e70b95c6569018407152dd43012d

Observation c4941111-799d-49eb-8c28-48abe944f286 · outbound

This paper cites A Liouville theorem for the Euler equations in the plane.

On the flexibility of 2D Euler steady states A Liouville theorem for the Euler equations in the plane

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.498474Z

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=2026-05-12T02:04:05.133888Z digest=sha256:5b053626dcefc5adb8d93ae8b96c4e256b5b6b60846d2a8003663b1fde5cca96

Observation 826cd8f4-70da-4867-8e4b-8aa6d35aa5de · outbound

This paper cites Characterization of steady solutions to the 2d euler equation.

On the flexibility of 2D Euler steady states Characterization of steady solutions to the 2d euler equation

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.521987Z

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=2026-05-12T02:04:05.133888Z digest=sha256:c1afd1a7b78bf6d939deb355325c205f142fa9354f8605c2aa92a041ca9fe34b

Observation 462253b8-00fc-44a7-aaba-192f9f7c1ddd · outbound

This paper cites Instability of some ideal plane flows.SIAM journal on mathematical analysis, 35(2):318– 356.

On the flexibility of 2D Euler steady states Instability of some ideal plane flows.SIAM journal on mathematical analysis, 35(2):318– 356

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.524058Z

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=2026-05-12T02:04:05.133888Z digest=sha256:121355a866e9126273a0306da3dbeb5f01260d744278aedef724005e9fe95a56

Observation b1d6cb60-8747-4c9a-8513-3e68f5277c6f · outbound

This paper cites Nonlinear instability of ideal plane flows.International Mathematics Research Notices, 2004(41):2147–2178.

On the flexibility of 2D Euler steady states Nonlinear instability of ideal plane flows.International Mathematics Research Notices, 2004(41):2147–2178

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.537106Z

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=2026-05-12T02:04:05.133888Z digest=sha256:1bac33b1f9b5be7fc3b050cb837363d3e877397699af7d7c2b1412b49cd299e5

Observation 40b16742-749b-4727-9176-b4ad9b7dbe32 · outbound

This paper cites Some stability and instability criteria for ideal plane flows.Communications in mathe- matical physics, 246(1):87–112.

On the flexibility of 2D Euler steady states Some stability and instability criteria for ideal plane flows.Communications in mathe- matical physics, 246(1):87–112

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.532546Z

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=2026-05-12T02:04:05.133888Z digest=sha256:a74d9043d8ee390a875e4c78ea153c7bbb21891b7d29c8128a0e6d0f38752605

Observation 58d10d26-4096-461d-889f-44d575aa1702 · outbound

This paper cites Invisciddynamicalstructuresnearcouetteflow.Archive for rational mechanics and analysis, 200(3):1075–1097.

On the flexibility of 2D Euler steady states Invisciddynamicalstructuresnearcouetteflow.Archive for rational mechanics and analysis, 200(3):1075–1097

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.489773Z

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=2026-05-12T02:04:05.133888Z digest=sha256:ec7c9f93312f7ac2393d502ce463d544f9fa7e17e0f2482b4efe928b484777b5

Observation 20b94d6a-13d6-4e13-b38b-af63fb63ac81 · outbound

This paper cites Springer Science & Business Media.

On the flexibility of 2D Euler steady states Springer Science & Business Media

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.479115Z

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=2026-05-12T02:04:05.133888Z digest=sha256:3816cbe517788f750cd633399670195518976e5947419c786264bfeff1f86c11

Observation 38d69279-f894-400c-b598-04988443d0b1 · outbound

This paper cites On stationary solutions of two-dimensional euler equation.Archive for Rational Mechanics and Analysis, 209(3):729–745.

On the flexibility of 2D Euler steady states On stationary solutions of two-dimensional euler equation.Archive for Rational Mechanics and Analysis, 209(3):729–745

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.494356Z

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=2026-05-12T02:04:05.133888Z digest=sha256:0a11189d08dcadbb38bcb7eac290f49a86572c8922f0a01b6df52f4b550ceaa1

Observation fc187328-8472-46f0-b2c2-dc776adb759a · outbound

This paper cites Wandering solutions of euler’s d-2 equation.Functional Analysis and Its Applications, 25(3):220–221.

On the flexibility of 2D Euler steady states Wandering solutions of euler’s d-2 equation.Functional Analysis and Its Applications, 25(3):220–221

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.491877Z

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=2026-05-12T02:04:05.133888Z digest=sha256:b9cd96345f0fbac061d5531c5647618e5fff141e096ab0c0168629bcd6571fd3

Observation 8dd11118-8d49-440b-8cc4-567d7fdddf41 · outbound

This paper cites On the theory of univalent functions.Annals of Mathematics, pages 374–408.

On the flexibility of 2D Euler steady states On the theory of univalent functions.Annals of Mathematics, pages 374–408

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.487720Z

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=2026-05-12T02:04:05.133888Z digest=sha256:eed52f4aad03e7c7bfc93c7719fce0d4fea8ce1a48df59580913711f5a2fb29f

Observation 7ebc968a-bab8-4c42-9884-8668798de340 · outbound

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

On the flexibility of 2D Euler steady states Symmetry results for compactly supported steady solutions of the 2D Euler equations

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.481559Z

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=2026-05-12T02:04:05.133888Z digest=sha256:b5de95204a8b2a08e48b6df76a20f2993145b05c03dd8021dd5d4b28f8ebef95

Observation 9c5387ce-d538-489d-87d6-3c7d0fc56e5a · outbound

This paper cites Maximum and minimum energy in vortex motion.Nature, 22(574):618–620.

On the flexibility of 2D Euler steady states Maximum and minimum energy in vortex motion.Nature, 22(574):618–620

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.485622Z

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=2026-05-12T02:04:05.133888Z digest=sha256:ffb6714f2c47b81b6f84dee28a0c26ec5c1b8aaa815671b15bd51cc1386616ce

Observation fea70c17-785e-406f-9fbf-464e1cc90467 · outbound

This paper cites Nonlinear stability for saddle solutions of ideal flows and symmetry breaking.Communications in mathematical physics, 193(3):713–736.

On the flexibility of 2D Euler steady states Nonlinear stability for saddle solutions of ideal flows and symmetry breaking.Communications in mathematical physics, 193(3):713–736

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.474193Z

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=2026-05-12T02:04:05.133888Z digest=sha256:18eac29eb32fdaf6e2503647c896903cd109e429df5eced4257ac4cbc2aac771

Observation 3c60182e-2727-44de-80a3-81b6ab1aef2f · outbound

This paper cites Eleven great problems of mathematical hydrodynamics.Moscow math- ematical journal, 3(2):711–737.

On the flexibility of 2D Euler steady states Eleven great problems of mathematical hydrodynamics.Moscow math- ematical journal, 3(2):711–737

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.476766Z

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=2026-05-12T02:04:05.133888Z digest=sha256:b5365e8d9b6fd1a2c8a2a70b346fca1b4932de73da03f2a7b47ed4293b9f8a6c

Observation c01ff838-1f08-4cb4-bbae-c4d55d2ac7db · outbound

This paper cites Ontheinviscidinstabilityofthe2-dtaylor–green vortex.Journal of Fluid Mechanics, 999:A64.

On the flexibility of 2D Euler steady states Ontheinviscidinstabilityofthe2-dtaylor–green vortex.Journal of Fluid Mechanics, 999:A64

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.483586Z

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=2026-05-12T02:04:05.133888Z digest=sha256:7acd7e1fd00d7d849ad5dbae5fcbd3d3ca8e2d11629afef2e299d7f0c0483a5a

Observation 341f52a0-b8d6-4cec-aca9-d32b67f69e42 · outbound

This paper cites Selected topics in fluid mechanics (course notes).

On the flexibility of 2D Euler steady states Selected topics in fluid mechanics (course notes)

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-05-13T00:11:57.496428Z

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=2026-05-12T02:04:05.133888Z digest=sha256:5fdcea22601eac80633c0b293d6bb788d1bec184b5b9772b02c47aa4a6ceba9d

Pith citing papers

Observation 61f44906-7ff9-4e10-83b6-642ef0bc71a1 · inbound

On stationary Quasi-Geostrophic Shallow-Water flows cites this paper.

On stationary Quasi-Geostrophic Shallow-Water flows On the flexibility of 2D Euler steady states

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-07-09T07:56:04.776958Z

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=2026-07-09T07:48:35.443838Z digest=sha256:cbae5c80397bf9db9f50c1eeeb5e86916fc0bc127c20c5a9a5e6a2a15cd6eec9