Paper Citation Record · LEDGER

On the ideal stability of the sheared-flow Z pinch

As of 15 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2608.00291.

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

pith.paper-citation-record.v1
2608.00291 v1

Coverage vector

measured 26 of 26 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T00:53:04.270657Z

measured 26 of 26 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

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Reference resolution

26 of 26 outbound references displayed

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Outbound references

Observation 60814baf-078b-4cad-bf76-14d865221b3d · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.168442Z

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Unavailable: canonical work link unavailable.

Observation 53bad49f-dbb4-4132-99f3-cd5932914200 · outbound

This paper cites hard-core.

On the ideal stability of the sheared-flow Z pinch hard-core

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.173460Z

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Observation 4d23fe44-f494-4e39-b2eb-74811dd1ccea · outbound

This paper cites 7, determine the linear resonances of the Z-pinch equilibrium.

On the ideal stability of the sheared-flow Z pinch 7, determine the linear resonances of the Z-pinch equilibrium

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.177488Z

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Observation 9cd9e38f-7671-4a12-a330-8a0edd24e553 · outbound

This paper cites The key concept is spectral accessibility, meaning that for continuum damping to occur, the perturbation’s frequency spectrum must overlap with resonant surfaces in the plasma.

On the ideal stability of the sheared-flow Z pinch The key concept is spectral accessibility, meaning that for continuum damping to occur, the perturbation’s frequency spectrum must overlap with resonant surfaces in the plasma

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.181999Z

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Observation a2976edd-ebbd-417e-a9c4-686f3d7a3d3c · outbound

This paper cites Alfvén gap.

On the ideal stability of the sheared-flow Z pinch Alfvén gap

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.186209Z

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Observation 58f81276-9ad8-44d8-9d7e-c9c02a613f46 · outbound

This paper cites These functions differ by residue contributions from poles approaching the real-𝑟 axis.47,48 The original ideal MHD system, Eqs.

On the ideal stability of the sheared-flow Z pinch These functions differ by residue contributions from poles approaching the real-𝑟 axis.47,48 The original ideal MHD system, Eqs

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.190150Z

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Observation 451a9c71-574e-4277-812c-2516392ac733 · outbound

This paper cites improper.

On the ideal stability of the sheared-flow Z pinch improper

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.194445Z

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Observation 5e4f8b98-4176-4f17-bde6-fdfb36f22a80 · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.198224Z

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Observation ed1a9cf3-f214-4fb6-9362-e042af267550 · outbound

This paper cites They arise from the radial structure of the linearized acoustic problem in sheared flow, and are derived in Appendix C for a transonic current-free (®𝐵=0 ) flow.

On the ideal stability of the sheared-flow Z pinch They arise from the radial structure of the linearized acoustic problem in sheared flow, and are derived in Appendix C for a transonic current-free (®𝐵=0 ) flow

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.202162Z

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Observation ca0b19e4-0a18-487a-8cba-07498d65db58 · outbound

This paper cites In both cases, the radiation of sound to the exterior, via Family (ii), accompanies the instability.

On the ideal stability of the sheared-flow Z pinch In both cases, the radiation of sound to the exterior, via Family (ii), accompanies the instability

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.205907Z

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Observation 068b189f-93a9-4bb0-9a47-7497a87451ba · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.209702Z

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Observation 19f4be3c-2b28-4724-b768-698d59a54ae0 · outbound

This paper cites Sound waves propagating co- flow in the subsonic core reflect radially at a sonic turning point.

On the ideal stability of the sheared-flow Z pinch Sound waves propagating co- flow in the subsonic core reflect radially at a sonic turning point

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.213526Z

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Observation fa407cfe-ccb3-44f9-941f-c58d1a360283 · outbound

This paper cites current- free.

On the ideal stability of the sheared-flow Z pinch current- free

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.217821Z

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Observation 84fcf3ca-cf54-416d-bef1-8b83da59320b · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.222039Z

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Observation 485e2078-67d4-4194-9444-7c118f3cc5bb · outbound

This paper cites Alfvén gap.

On the ideal stability of the sheared-flow Z pinch Alfvén gap

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.225922Z

Source-reported events for the cited work

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Observation 72d08c3a-2700-4414-8b75-b99b9e100533 · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.230578Z

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Observation 08b242ad-56f2-4c56-ba67-21b8eb9797d6 · outbound

This paper cites Each resonance ˜𝜔=𝑚𝜔𝑠 (with𝜔𝑠∈{±𝜔 𝑎,±𝜔𝑚𝑠})determinesthe radius𝑟 𝑐 of a resonant layer via 𝜔−𝑘𝑣 0𝑧(𝑟𝑐)=𝑚𝜔 𝑠(𝑟𝑐).(A3) Isolating the contribution to Eq.

On the ideal stability of the sheared-flow Z pinch Each resonance ˜𝜔=𝑚𝜔𝑠 (with𝜔𝑠∈{±𝜔 𝑎,±𝜔𝑚𝑠})determinesthe radius𝑟 𝑐 of a resonant layer via 𝜔−𝑘𝑣 0𝑧(𝑟𝑐)=𝑚𝜔 𝑠(𝑟𝑐).(A3) Isolating the contribution to Eq

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.234634Z

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Observation 00d432b6-929a-49e1-8040-5a483c5dc6d4 · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.238534Z

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Observation b0c0427e-a624-4b4b-bb9e-a7b3c19ab66b · outbound

This paper cites Write schematically the dispersion functions obtained by these prescriptions (Eqs.

On the ideal stability of the sheared-flow Z pinch Write schematically the dispersion functions obtained by these prescriptions (Eqs

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.243033Z

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Observation f9e0d4dd-9de8-43db-938f-71630cdeda2a · outbound

This paper cites Consider an axisymmetric radially sheared axial flow®𝑣=𝑣𝑧(𝑟)ˆ𝑧with axisymmetric perturbations®𝑣1(𝑟,𝑧,𝑡).

On the ideal stability of the sheared-flow Z pinch Consider an axisymmetric radially sheared axial flow®𝑣=𝑣𝑧(𝑟)ˆ𝑧with axisymmetric perturbations®𝑣1(𝑟,𝑧,𝑡)

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.246998Z

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Observation 034ffc38-db75-4a96-9aae-ddc7d2a04fef · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.251288Z

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Observation e63ab8e9-700c-4cbb-b0ef-99179142d2e0 · outbound

This paper cites 6) to the current-free equilibrium𝐵0𝜃 =𝐵 0𝑧 =0 with uniform density and pressure (𝜌0 =𝑝 0 =1 ) and general azimuthal mode number𝑚.

On the ideal stability of the sheared-flow Z pinch 6) to the current-free equilibrium𝐵0𝜃 =𝐵 0𝑧 =0 with uniform density and pressure (𝜌0 =𝑝 0 =1 ) and general azimuthal mode number𝑚

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.255482Z

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Observation cfa14206-c963-418c-b0f6-6eeed9aa1fc9 · outbound

This paper cites C2 into Eq.

On the ideal stability of the sheared-flow Z pinch C2 into Eq

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.259227Z

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Observation 164cde82-ef6e-4021-945e-f7c344083197 · outbound

This paper cites centrifu- gal.

On the ideal stability of the sheared-flow Z pinch centrifu- gal

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.263078Z

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Observation f567dfb8-49a6-4891-9e13-067a6fa42d4c · outbound

This paper cites jet screech,.

On the ideal stability of the sheared-flow Z pinch jet screech,

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.266948Z

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Observation 545ed34c-1a3e-42f4-b633-09de86b231f6 · outbound

This paper cites an unresolved cited work.

On the ideal stability of the sheared-flow Z pinch Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T00:53:04.270657Z

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