Paper Citation Record · LEDGER

On the collapse of three point vortices on surfaces

As of 13 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2607.16490.

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

pith.paper-citation-record.v1
2607.16490 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T21:04:55.599903Z

measured 29 of 29 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

29 of 29 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 89d4b34f-ef35-4b42-a3ab-3f3f4a43d8dc · outbound

This paper cites Helmholtz.

On the collapse of three point vortices on surfaces Helmholtz

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.307245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aaacebfb-3d23-4244-8927-9150d22e06f3 · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.359327Z

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Unavailable: canonical work link unavailable.

Observation a8a72eec-4085-43e7-895b-e75b664c05cd · outbound

This paper cites Vorlesungen ¨ ubermathematische Physik.

On the collapse of three point vortices on surfaces Vorlesungen ¨ ubermathematische Physik

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.450990Z

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Observation 1888445d-cebb-4c64-a269-2dae3783110a · outbound

This paper cites Point vortex dynamics: A classical mathematics playground.

On the collapse of three point vortices on surfaces Point vortex dynamics: A classical mathematics playground

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.543875Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a7a1774-3947-4e75-8a9e-b93725142c3a · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.635116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 250ff9b4-d351-4cb3-81be-af002b9aa9be · outbound

This paper cites Integrable, chaotic, and turbulent vortex motion in two-dimensional flows.

On the collapse of three point vortices on surfaces Integrable, chaotic, and turbulent vortex motion in two-dimensional flows

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.726551Z

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Unavailable: canonical work link unavailable.

Observation 4831b119-b815-48bf-afed-88df7dcca176 · outbound

This paper cites Point vortex dynamics: recent results and open problems.

On the collapse of three point vortices on surfaces Point vortex dynamics: recent results and open problems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.840435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ade767b4-f860-4111-8766-fcd789cc0cc7 · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.901688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8076847e-1928-4351-b243-ea75dc97c37b · outbound

This paper cites Z¨ urcher and Furrer, Z¨ urich, 1877.

On the collapse of three point vortices on surfaces Z¨ urcher and Furrer, Z¨ urich, 1877

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:53.989842Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bc9d89e-5f21-4be7-8da1-bfa8ac6b5c61 · outbound

This paper cites Leoncini, L.

On the collapse of three point vortices on surfaces Leoncini, L

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.081807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b4c5d912-e530-479b-98e1-d0f0e9ea8f78 · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.171651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 31be6786-01e4-405c-b56e-d809448bbb32 · outbound

This paper cites Self-similar motion of three point vortices.

On the collapse of three point vortices on surfaces Self-similar motion of three point vortices

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.254284Z

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Unavailable: canonical work link unavailable.

Observation b8c3a717-ea11-4a0c-89dc-104737c56464 · outbound

This paper cites Vortex motion on surfaces with constant curvature.

On the collapse of three point vortices on surfaces Vortex motion on surfaces with constant curvature

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.373773Z

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Observation a18d1532-d286-4a71-896a-5a94f7a9cc3c · outbound

This paper cites Vortex motion on a sphere.

On the collapse of three point vortices on surfaces Vortex motion on a sphere

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.469681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d2d2189b-5436-4b43-9110-a7bd153bb0e7 · outbound

This paper cites Singular vortex pairs follow magnetic geodesics.

On the collapse of three point vortices on surfaces Singular vortex pairs follow magnetic geodesics

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.558633Z

Source-reported events for the cited work

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Observation 7ff3d890-607b-4d4a-988d-20768c721da1 · outbound

This paper cites Vortices on closed surfaces, page 185–237.

On the collapse of three point vortices on surfaces Vortices on closed surfaces, page 185–237

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.647527Z

Source-reported events for the cited work

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Observation 32ded28e-d8a1-4dcf-af49-90ef4eadff79 · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.742865Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57d5f35e-f37d-40b3-8376-f208c80d7e08 · outbound

This paper cites Vortex pairs and dipoles on closed surfaces.

On the collapse of three point vortices on surfaces Vortex pairs and dipoles on closed surfaces

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.811660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84b6019e-6ec4-4a13-931f-f52382054920 · outbound

This paper cites Point vortex interactions on a toroidal surface.

On the collapse of three point vortices on surfaces Point vortex interactions on a toroidal surface

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.866769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92028a1c-a4d8-4246-baab-c2b1249076f0 · outbound

This paper cites an unresolved cited work.

On the collapse of three point vortices on surfaces Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:54.934170Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d552a6d-b13e-4246-bce2-ae3023de56ae · outbound

This paper cites The N-vortex problem on the projective plane.

On the collapse of three point vortices on surfaces The N-vortex problem on the projective plane

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.041467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0ea68592-481d-4ce5-85e4-32a0e7d463ea · outbound

This paper cites Integrability of point-vortex dynamics via symplectic reduction: a survey.

On the collapse of three point vortices on surfaces Integrability of point-vortex dynamics via symplectic reduction: a survey

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.099022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0342265b-56d1-4928-a66f-5a1a44c98965 · outbound

This paper cites Burst of point vortices and non-uniqueness of 2d Euler equations.

On the collapse of three point vortices on surfaces Burst of point vortices and non-uniqueness of 2d Euler equations

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.172898Z

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Unavailable: canonical work link unavailable.

Observation 340edbfe-73f0-4d0b-93e5-1a48d5db4db6 · outbound

This paper cites Gustafsson.

On the collapse of three point vortices on surfaces Gustafsson

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.229421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da2d00d5-be80-4bdd-ad40-a5323455e8cd · outbound

This paper cites On the interplay between vortices and harmonic flows: Hodge decomposition of Euler’s equations in 2d.

On the collapse of three point vortices on surfaces On the interplay between vortices and harmonic flows: Hodge decomposition of Euler’s equations in 2d

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.290304Z

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Observation 8267c5fb-c58f-4607-92af-d6f7335544df · outbound

This paper cites Drivas, Daniil Glukhovskiy, and Boris Khesin.

On the collapse of three point vortices on surfaces Drivas, Daniil Glukhovskiy, and Boris Khesin

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.358707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a0b229b-d765-4df5-b1aa-02ad86b69395 · outbound

This paper cites Euler and Navier–Stokes equations on the hyperbolic plane.

On the collapse of three point vortices on surfaces Euler and Navier–Stokes equations on the hyperbolic plane

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.457773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25f62910-12ef-4461-ad90-e340998b2141 · outbound

This paper cites Singularity formation in the incompressible euler equation in finite and infinite time.

On the collapse of three point vortices on surfaces Singularity formation in the incompressible euler equation in finite and infinite time

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.514267Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a575379-132f-4a46-9894-43e4f745322a · outbound

This paper cites Point vortices on the hyperbolic plane.

On the collapse of three point vortices on surfaces Point vortices on the hyperbolic plane

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-01T21:04:55.599903Z

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Pith citing papers

No inbound Pith citation observations are available.