Paper Citation Record · LEDGER

Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 6 inbound Pith citation observations for arXiv:2110.13751.

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

pith.paper-citation-record.v1
2110.13751 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 6 of 6 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 6 of 6 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T17:58:18.162507Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-09T07:56:04.777978Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 98b4ce3f-0012-49d8-b482-384319ebea6b · inbound

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves cites this paper.

Time Quasi-Periodic Three-dimensional Traveling Gravity Water Waves Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-04T17:58:18.162507Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e0e90f49-60cd-4432-bb59-9215c328f245 · inbound

Confinement results near point vortices on the rotating sphere cites this paper.

Confinement results near point vortices on the rotating sphere Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-05-16T02:22:07.971966Z

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 64761531-6faa-4312-9115-37f781284e4a · inbound

The regularity of the boundary of vortex patches for the quasi-geostrophic shallow-water equations cites this paper.

The regularity of the boundary of vortex patches for the quasi-geostrophic shallow-water equations Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T20:48:42.100042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6d2b607-23df-4944-9a2e-b7d77711047c · inbound

Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids cites this paper.

Long time dynamics close to large amplitude quasi-periodic traveling waves in two dimensional forced rotating fluids Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 40

Resolution: metadata mismatch; arxiv_id, observed 2026-05-11T06:15:57.328575Z

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 871c5637-5a44-4b67-938c-45c291075fd3 · inbound

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

On stationary Quasi-Geostrophic Shallow-Water flows Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-07-09T07:56:04.779135Z

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 ebae316d-e5f0-42c9-8834-d0d8f3251dfa · inbound

Time-periodic vortices near translating symmetric dipole patches cites this paper.

Time-periodic vortices near translating symmetric dipole patches Time quasi-periodic vortex patches for quasi-geostrophic shallow-water equations

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-07-09T05:15:59.018261Z

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.