Paper Citation Record · LEDGER

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics

As of 13 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2608.10608.

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

pith.paper-citation-record.v1
2608.10608 v1

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T21:10:20.009093Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

17 of 17 outbound references displayed

verified exact0
verified fuzzy9
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d5d103b6-774c-4a7a-85f8-612c2e3e36bc · outbound

This paper cites an unresolved cited work.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:10:20.530979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 4cd6a188-cf2b-47f4-a6b8-60d43b7829ec · outbound

This paper cites L¨ uhrmann and W.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics L¨ uhrmann and W

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.376728Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 76e8264c-ca41-4c46-aa13-d62288576e23 · outbound

This paper cites Lecture Notes.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Lecture Notes

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.459634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 314f8052-8c91-41e9-9b9a-dd47551dd3c0 · outbound

This paper cites Linearized dynamic stability for vortices of Ginzburg-Landau evolutions.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Linearized dynamic stability for vortices of Ginzburg-Landau evolutions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:19.977836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f660b7dd-49dc-48ef-b30e-c58ecc207e56 · outbound

This paper cites Zhao.Convergence of the self-dual abelian Higgs gradient flow.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Zhao.Convergence of the self-dual abelian Higgs gradient flow

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:20.009093Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd725143-f273-4875-a672-62c51ff06e82 · outbound

This paper cites American Mathematical Society, Providence, RI, 2024, pp.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics American Mathematical Society, Providence, RI, 2024, pp

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.479996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation bf4f2192-cd05-4597-92ac-74d552fe90c8 · outbound

This paper cites In:Journal of Inequalities and Applications2017 (2017), p.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics In:Journal of Inequalities and Applications2017 (2017), p

Reference 428

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.277094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d6547b98-ae16-4cf6-9599-b5a7a6d57984 · outbound

This paper cites Kowalczyk, Y.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Kowalczyk, Y

Reference 832

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.405553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 98bcc769-3c64-4383-b9f7-ebfbd4a2edc9 · outbound

This paper cites Demoulini and D.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Demoulini and D

Reference 1100

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.506016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c2570279-e3e8-4052-805c-192bbccfaba3 · outbound

This paper cites Long-time asymptotics and stability for the sine-Gordon equation.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Long-time asymptotics and stability for the sine-Gordon equation

Reference 1468

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:19.907140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c46b4a66-8622-4289-9e71-8e50e630bc63 · outbound

This paper cites Koch and D.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Koch and D

Reference 1995

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.433302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9a702ee6-8d1c-4ac9-980a-64f67e92cade · outbound

This paper cites an unresolved cited work.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Unresolved cited work

Reference 2004

Resolution: unresolved; raw_fallback, observed 2026-08-12T21:10:20.353396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9d970093-58c8-42ea-ba87-90288b069468 · outbound

This paper cites Setˆ o.Bargmann ’s inequalities in spaces of arbitrary dimension.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Setˆ o.Bargmann ’s inequalities in spaces of arbitrary dimension

Reference 2007

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.327332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 12a943dd-223d-4a66-9dcf-eb3d75914c4f · outbound

This paper cites Tsai and H.-T.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Tsai and H.-T

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T21:10:20.301829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 218a8949-c34b-4bcb-ad94-987bb712debf · outbound

This paper cites A stability theory beyond the co-rotational setting for critical Wave Maps blow up.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics A stability theory beyond the co-rotational setting for critical Wave Maps blow up

Reference 2017

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:19.952634Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8dae4e0c-955f-44ee-9974-680453e2284b · outbound

This paper cites Internal modes and radiation damping for quadratic Klein-Gordon in 3D.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Internal modes and radiation damping for quadratic Klein-Gordon in 3D

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:19.959116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74eb9b1b-b172-4e84-9568-e69115c12c5c · outbound

This paper cites Estimates for the Gross-Pitaevskii equation linearized around a vortex.

Asymptotic stability of the degree-one vortex in the abelian Yang-Mills-Higgs model: Spectral Theory and Numerics Estimates for the Gross-Pitaevskii equation linearized around a vortex

Reference 2026

Resolution: unresolved; no resolver link, observed 2026-08-12T21:10:19.914017Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.