Paper Citation Record · LEDGER

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:1908.08618.

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

pith.paper-citation-record.v1
1908.08618 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:42:46.356443Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy23
unresolved15
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malformed identifier1
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External citation measurements

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Outbound references

Observation a8710087-4170-4edb-ad21-e05e6ac5be35 · outbound

This paper cites von Helmholtz, J.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach von Helmholtz, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.953810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf252ae8-a3f0-4e3a-b998-a0e87bfa2da0 · outbound

This paper cites We used MATLAB’s built in rootﬁnder, fzero along with the ODE Solver ode45 with a relative tolerance of 10−13, an absolute tolerance of 10−15 to solve the equation f(hc) = 0.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach We used MATLAB’s built in rootﬁnder, fzero along with the ODE Solver ode45 with a relative tolerance of 10−13, an absolute tolerance of 10−15 to solve the equation f(hc) = 0

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.968940Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a35931b9-cf7a-4d9a-a25b-7cdb1907f56d · outbound

This paper cites Aref, Journal of Mathematical Physics 48, 065401 (2007), ISSN 0022-2488.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Journal of Mathematical Physics 48, 065401 (2007), ISSN 0022-2488

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.922466Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 13f73398-384d-45e5-ae91-5554a576e1e6 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.939101Z

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Observation 778f3628-9204-4533-bd4f-c80a6d1d8c63 · outbound

This paper cites Kirchhoﬀ, Vorlesungen ¨ uber mathematische Physik: Mechanik, vol.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Kirchhoﬀ, Vorlesungen ¨ uber mathematische Physik: Mechanik, vol

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.890485Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 32c66793-ac41-47f4-ae13-f197b34c0011 · outbound

This paper cites Aref, Theor.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Theor

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.905406Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 822e2d1b-77a8-4e93-9d6f-82b70e7f5042 · outbound

This paper cites Eckhardt and H.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Eckhardt and H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.858830Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b67620cb-8016-4248-8f65-89f7a508db76 · outbound

This paper cites The Hamiltonian (5) yields evolution equations dX dt = +∂H ∂Y = + Y (1−Y 2)2, dY dt =−∂H ∂X =− X (1 +X2)2, (8) whose phase plane is shown in Fig.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach The Hamiltonian (5) yields evolution equations dX dt = +∂H ∂Y = + Y (1−Y 2)2, dY dt =−∂H ∂X =− X (1 +X2)2, (8) whose phase plane is shown in Fig

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.985661Z

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Observation e6c07d15-5351-41b4-a0c5-67338cbe2fd2 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.874318Z

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Observation 3e00c13c-0028-40cb-a206-6e74fc64886d · outbound

This paper cites Aref, Journal of Applied Mathematics and Physics (1989).

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Aref, Journal of Applied Mathematics and Physics (1989)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.843385Z

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Observation 89cc3dbe-cb18-4ee6-9efa-3427d49a809e · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 11

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Observation 0a5fbf1e-fb16-47a2-879a-68f7af18fd82 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T11:42:46.222625Z

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Unavailable: canonical work link unavailable.

Observation c04b5f4c-c587-4535-aaf4-fc8e2d0f6be5 · outbound

This paper cites Navarro, R.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Navarro, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.806048Z

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Observation 3d499058-de2c-45d4-bb67-444ebd5e65ae · outbound

This paper cites Gr¨ obli, Ph.D.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Gr¨ obli, Ph.D

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.790361Z

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Observation 7bcad9cd-ff34-4829-803d-8bf3c97e42da · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.774932Z

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Observation dda97679-4d2b-4218-8bbe-61395530fd61 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.758613Z

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Observation 9fe64ff7-6a70-4fee-bf09-0a0878ca1855 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.742537Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a0e3e500-1cd8-4aa2-aefc-86e3a6d8d700 · outbound

This paper cites Tophøj and H.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Tophøj and H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.727696Z

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Observation c68e644b-d932-452c-a0c7-bf2b63359bc1 · outbound

This paper cites Tophøj and H.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Tophøj and H

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.712612Z

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Observation e5ac6904-0f23-41ec-8f6b-c4601753cc3e · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.698366Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c123864-d63e-4d90-9fc3-21954783b653 · outbound

This paper cites Markus and H.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Markus and H

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.682819Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6f8e4dc5-8951-4d78-99a1-9d849daad735 · outbound

This paper cites Whitchurch, P.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Whitchurch, P

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.668041Z

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Observation ce9e3b84-c890-4e14-bc66-a2b47aecdf8d · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.652081Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 43b55397-629d-4646-bf41-81d1ab47861c · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.635457Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6bfeed01-e57c-4311-b262-89c7b54f32f7 · outbound

This paper cites Kaushal and H.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Kaushal and H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.620930Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 76665d3b-b0aa-44f0-8530-66047464defd · outbound

This paper cites Floquet, in Annales scientiﬁques de l’ ´Ecole normale sup´ erieure(1883), vol.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Floquet, in Annales scientiﬁques de l’ ´Ecole normale sup´ erieure(1883), vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.605286Z

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Observation 71aec767-2ae2-472b-a05c-591a4ce45d3c · outbound

This paper cites Yakubovich and V.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Yakubovich and V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.590208Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1a1ffa95-bb8b-48c8-ac9d-ea39c1f16110 · outbound

This paper cites Meyer, G.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Meyer, G

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.574703Z

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Observation 334aaa49-b107-4c46-ad34-e51fc6d02fb7 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 29

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Observation 8069afb5-8cfa-4375-bb12-83897fa0a1ec · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.557517Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1885ec21-47c1-4330-8724-124aafd3c33e · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.540206Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3c0ccc5e-c6a7-4c59-bba8-5a366d26334d · outbound

This paper cites Poincar´ e, Les m´ ethodes nouvelles de la m´ ecanique c´ eleste.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Poincar´ e, Les m´ ethodes nouvelles de la m´ ecanique c´ eleste

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.523815Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d8602918-3470-4901-ad05-f035e1094e34 · outbound

This paper cites Treschev, O.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Treschev, O

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.508175Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 55757fd3-bf95-4628-adef-4cf7dc0e8a3e · outbound

This paper cites Bolotin and D.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Bolotin and D

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.492221Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d48c5fc4-c40b-4ad9-b963-82c9b5ea3899 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.475425Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 973cd1f7-05b1-4bf7-bd25-2a36f1108110 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.459113Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ffe2ef85-1040-41c2-8083-fa42d11d6919 · outbound

This paper cites an unresolved cited work.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:42:46.442676Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 20a3857f-0879-402b-8268-57a6ad97db01 · outbound

This paper cites This is a regularization factor to guaranteehjj = 1 and is necessary for (27) to converge.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach This is a regularization factor to guaranteehjj = 1 and is necessary for (27) to converge

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.425994Z

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Observation a815ef83-1ba2-4d98-90dd-1300541a7f90 · outbound

This paper cites It would of course be possible to proceed with a more general Fourier ansatz.

Stability of Leapfrogging Vortex Pairs: A Semi-analytic Approach It would of course be possible to proceed with a more general Fourier ansatz

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:42:46.409419Z

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