Paper Citation Record · LEDGER

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field

As of 8 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2505.19822.

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

pith.paper-citation-record.v1
2505.19822 v3

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:14:55.148085Z

measured 38 of 38 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:58:18.486009Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T12:58:19.128558Z

Reference resolution

37 of 37 outbound references displayed

verified exact8
verified fuzzy14
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 886e95d4-08d1-4c80-8c76-ee96b5e74690 · outbound

This paper cites Antonelli, M.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Antonelli, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:15:00.003991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 061cf1a7-6209-4e68-967a-d0d37ea55209 · outbound

This paper cites Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Quantitative Hydrodynamic Stability for Couette Flow on Unbounded Domains with Navier Boundary Conditions

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:56.331705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4bb3560f-9354-4658-83fb-c38b4c5d159d · outbound

This paper cites Bedrossian, P.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Bedrossian, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:59.861438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 255c19f3-4907-4013-b674-79ce3f7a3564 · outbound

This paper cites Bedrossian, P.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Bedrossian, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:59.737083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b6e031a-4143-4bd9-ab77-dbebe7e99453 · outbound

This paper cites Bedrossian, P.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Bedrossian, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:59.617117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4b0f66b2-2ded-4022-86dd-5377669c3515 · outbound

This paper cites Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Stability threshold of nearly-Couette shear flows with Navier boundary conditions in 2D

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:56.127658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6cc69d2-0309-424c-bbfa-2dcf58cde29d · outbound

This paper cites Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Pseudo-Gevrey Smoothing for the Passive Scalar Equations near Couette

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.968697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f8029382-6c88-4e13-bcda-53bb7cc01642 · outbound

This paper cites Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Uniform Inviscid Damping and Inviscid Limit of the 2D Navier-Stokes equation with Navier Boundary Conditions

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:51.791672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 671007c3-703e-471b-b911-74cdc067d4e6 · outbound

This paper cites Bedrossian, N.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Bedrossian, N

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:59.499948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 185be709-c8e6-4f08-99e7-e61ea3184490 · outbound

This paper cites Bedrossian, V.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Bedrossian, V

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:59.382705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0ec5f7cc-4aa5-44b6-b75e-58197e380fba · outbound

This paper cites Nonlinear stability for 3-D plane Poiseuille flow in a finite channel.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Nonlinear stability for 3-D plane Poiseuille flow in a finite channel

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.832797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 02661aea-58d8-4cc2-8fde-e77ea6e0122f · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:59.257005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 42818f5b-a625-4cf9-a209-4c3d54c78ef1 · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:59.096006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 87a18ae3-39a0-42db-92e5-7f5f92fbc4c7 · outbound

This paper cites Chen and R.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Chen and R

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:58.989941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 443668db-6636-4e9a-9266-89d74d959faf · outbound

This paper cites Coti Zelati, T.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Coti Zelati, T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:58.882612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0a2437ee-9437-4a08-bf78-525a1f65e50f · outbound

This paper cites Del Zotto.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Del Zotto

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:58.760769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5634d391-e833-4e21-b443-3a3e55399587 · outbound

This paper cites Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Enhanced dissipation and transition threshold for the 2-D plane Poiseuille flow via resolvent estimate

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.744171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 945134ae-36b8-487c-8471-55a6b1d9d6fd · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:58.604094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b94964a8-856b-49ba-8513-54443cc6e4a4 · outbound

This paper cites Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:52.906060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d4cd3f2c-19c8-44fe-aeb6-bc6d903f4242 · outbound

This paper cites Gallet, M.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Gallet, M

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:58.417527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6d8020cd-233e-4c03-9201-ff65535b679e · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:58.234322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 38303dfc-0443-4761-83f8-1fa973d3d2af · outbound

This paper cites Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:53.282455Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88fd4e1c-0722-459c-89d0-47aa3ba3c857 · outbound

This paper cites On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field On the Sobolev Stability Threshold for the 2D MHD Equations with Horizontal Magnetic Dissipation

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.574391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca72e6bb-0284-478a-9835-3b4d889ec0dd · outbound

This paper cites Asymptotic stability of two-dimensional Couette flow in a viscous fluid.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Asymptotic stability of two-dimensional Couette flow in a viscous fluid

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:53.527465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef1a8f5e-b79a-4cbe-ade9-46ee75d9efdc · outbound

This paper cites Asymptotic stability in the critical space of 2D monotone shear flow in the viscous fluid.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Asymptotic stability in the critical space of 2D monotone shear flow in the viscous fluid

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.464499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b5d256f8-8d11-40bb-97a7-0e6258de1ac9 · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:58.042986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a3a36aa4-a20e-4ba3-8abe-0c76b274a60d · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:57.862724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6eb575c9-80f0-4c67-955a-f86fc2c0354d · outbound

This paper cites Stability threshold of the 2D Couette flow in Sobolev spaces.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Stability threshold of the 2D Couette flow in Sobolev spaces

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.341200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8be8fb9b-3bc6-4d57-8d34-c2b98eaa9c32 · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:57.718978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61455c7f-e0ee-4741-a93d-a8c529bbda24 · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:57.569347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b7bae34e-b74a-4eab-8023-d4963524fd88 · outbound

This paper cites The stability threshold for 2D MHD equations around Couette with general viscosity and magnetic resistivity.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field The stability threshold for 2D MHD equations around Couette with general viscosity and magnetic resistivity

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T14:14:54.308439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 424bb9da-876c-4c74-b4bf-1b2a5eb34ac0 · outbound

This paper cites Wei and Z.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Wei and Z

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:57.417423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 61664ead-57fc-47c2-a849-36d0b2a010ab · outbound

This paper cites Wei and Z.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Wei and Z

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:57.246262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 016b16c8-380f-4bd7-abb3-5d3cc5b73b7b · outbound

This paper cites Wei and Z.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Wei and Z

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:57.077182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fae9e2f3-ed08-4d4a-9f4c-2ab37de9eecc · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:56.883469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 688c0b45-6430-4db1-aa6c-37ff9a5373dc · outbound

This paper cites an unresolved cited work.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T14:14:56.702248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 794b72b7-bbd6-40b4-be2a-849b8ac50f4d · outbound

This paper cites Zhao and R.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Zhao and R

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:14:56.461764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation f3b9fe7f-a8aa-429b-8482-1278d68f28b0 · inbound

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow cites this paper.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.175981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.