Paper Citation Record · LEDGER

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations

As of 20 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2505.12240.

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

pith.paper-citation-record.v1
2505.12240 v4

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T20:47:07.709516Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:05:45.646345Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T14:05:46.764582Z

Reference resolution

40 of 40 outbound references displayed

verified exact1
verified fuzzy28
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 24f3dba8-4f40-4052-83c0-1fec2907e62f · outbound

This paper cites Abidi and S.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Abidi and S

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.225363Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9c98293e-0026-4122-8aed-9d326497166c · outbound

This paper cites Benedetto, E.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Benedetto, E

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.213694Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bf1807a3-97e0-4a1b-82ee-1d615d205105 · outbound

This paper cites an unresolved cited work.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:47:08.202345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 748a4e78-a7de-47b5-b561-ea869de1d553 · outbound

This paper cites Butt` a, G.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` a, G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.191070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1a57b3f1-f71d-416d-93ca-81e106d3b6ca · outbound

This paper cites Butt` a, G.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` a, G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.178467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 09b030db-23b2-4fb3-8c6c-fad3d28956d5 · outbound

This paper cites Butt` a, G.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` a, G

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.167537Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 827699c9-2df5-4a82-bd3a-6aa1a0b646db · outbound

This paper cites Butt` a, G.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` a, G

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.155481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7bffefcc-00fd-4b06-bdfc-82ac0bf31b61 · outbound

This paper cites Butt` aand C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` aand C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.144678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7ff9ea08-8db9-46fb-b6d0-e8143122e3d4 · outbound

This paper cites Butt` aand C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Butt` aand C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.132720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ffdb4527-33da-46c5-84d7-3495fd14070b · outbound

This paper cites Helical kelvin waves for the 3D Euler equation.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Helical kelvin waves for the 3D Euler equation

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-15T20:47:07.825747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8614a3a5-929c-4a7e-92d8-d496be88963a · outbound

This paper cites an unresolved cited work.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:47:08.120319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8ca0ff43-d800-42b0-a31b-777debbefea0 · outbound

This paper cites an unresolved cited work.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:47:08.108620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 12ac3f63-2b0c-42e4-acf6-4fd7249562d0 · outbound

This paper cites Cao and J.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Cao and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.097811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d9f69d75-fce6-414b-ba9a-7051e2ac95a9 · outbound

This paper cites Expansion of Green's function and regularity of Robin's function for elliptic operators in divergence form.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Expansion of Green's function and regularity of Robin's function for elliptic operators in divergence form

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.611371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5cffb3b8-0a32-444e-b8c0-34c4f3281b5a · outbound

This paper cites Castillo-Castellanos and S.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Castillo-Castellanos and S

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.086686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5d45db0f-357b-4933-b286-7e4c978f371f · outbound

This paper cites Stability of vortex quadrupoles with odd-odd symmetry.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Stability of vortex quadrupoles with odd-odd symmetry

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.618785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0123653-73d9-4cec-8d30-514a3891841b · outbound

This paper cites D´ avila, M.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations D´ avila, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.073906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1e6ecfa2-1934-45ff-8287-220be60c60bf · outbound

This paper cites D´ avila, M.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations D´ avila, M

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.058573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 301579c4-b115-4e56-989a-86899315597c · outbound

This paper cites Da Rios, Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque, Rendiconti del Circolo Matematico di Palermo (1884-1940) , 22 (1906), no.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Da Rios, Sul moto d’un liquido indefinito con un filetto vorticoso di forma qualunque, Rendiconti del Circolo Matematico di Palermo (1884-1940) , 22 (1906), no

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.045948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8e01eb7a-f7c1-402b-836c-68a28d939daa · outbound

This paper cites Delbende, C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Delbende, C

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.032050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 70b2fe6d-84d0-47e6-b33c-9e73adcdbfaf · outbound

This paper cites On the dynamics of leapfrogging vortex rings.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations On the dynamics of leapfrogging vortex rings

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.636124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 486ff3bf-82ee-4d06-a7d3-eab26e01cf98 · outbound

This paper cites Donati and C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Donati and C

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.018099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 63470558-eaeb-4bca-91a3-025b80761e58 · outbound

This paper cites Dynamics of helical vortex filaments in non viscous incompressible flows.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Dynamics of helical vortex filaments in non viscous incompressible flows

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.643773Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef17e6d8-9d81-4b2b-a803-2a76f2208f49 · outbound

This paper cites Dutrifoy, Existence globale en temps de solutions h ´ elico¨idales des ´ equations d’Euler, C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Dutrifoy, Existence globale en temps de solutions h ´ elico¨idales des ´ equations d’Euler, C

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:08.005819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f68d6968-a705-4ac9-9bab-384ec26303fb · outbound

This paper cites Ettinger and E.S.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Ettinger and E.S

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.992973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2fb63d7c-3d09-4bea-8092-386834fe91cc · outbound

This paper cites Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Evolution of viscous vortex filaments and desingularization of the Biot-Savart integral

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.655727Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7b83be6d-50ef-4eeb-9a17-fa04c827d83e · outbound

This paper cites Gallay, V.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Gallay, V

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.979438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1cdcfb90-c01b-4428-8755-ebb6fd3870a6 · outbound

This paper cites Guerra and M.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Guerra and M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.966361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 73cb141f-2aa8-40df-905a-1d70039928f7 · outbound

This paper cites Guo and L.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Guo and L

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.954309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8b95b9c5-90f0-4f11-8126-f729ddec1091 · outbound

This paper cites Long time dynamics for helical vortex filament in Euler flows.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Long time dynamics for helical vortex filament in Euler flows

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.670904Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 470fbe63-7496-4b27-94df-4027659ce3ae · outbound

This paper cites Rigorous derivation of the leapfrogging motion for planar Euler equations.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Rigorous derivation of the leapfrogging motion for planar Euler equations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-15T20:47:07.674900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05a2e6fd-f8ea-4894-bfca-69237bbae90a · outbound

This paper cites Hietala, R.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Hietala, R

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.943063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e40501ba-4b36-4dc0-b2b8-a2ea11f84d37 · outbound

This paper cites Helmholtz, On integrals of the hydrodynamics equations which express vortex motion, J.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Helmholtz, On integrals of the hydrodynamics equations which express vortex motion, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.930184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6f097ce8-2f57-4e9f-8602-3e5f456c09bd · outbound

This paper cites Levi-Civita, Sull’attrazione esercitata da una linea materiale in punti prossimi alla linea stessa, Rend.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Levi-Civita, Sull’attrazione esercitata da una linea materiale in punti prossimi alla linea stessa, Rend

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.916106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1b857755-c746-4da4-b192-a65f7bf0595b · outbound

This paper cites Levi-Civita, Attrazione newtoniana dei tubi sottili e vortici filiformi, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Ser.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Levi-Civita, Attrazione newtoniana dei tubi sottili e vortici filiformi, Annali della Scuola Normale Superiore di Pisa - Classe di Scienze Ser

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.903522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ae7d6fb2-74f2-471b-9528-1d625bdbb81c · outbound

This paper cites Jerrard and C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Jerrard and C

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.889911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a253df73-4663-425d-b633-153765f31999 · outbound

This paper cites Jerrard and C.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Jerrard and C

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.875687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0389f45b-4b83-44ff-829f-c8a8c1c448a5 · outbound

This paper cites an unresolved cited work.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-15T20:47:07.863374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 26451d2a-8989-4e3c-a099-5f8a7c8a788a · outbound

This paper cites Marchioro and M.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Marchioro and M

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.851013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation db379469-00b6-4c97-91d3-7e5deaba5383 · outbound

This paper cites Turkington, On the evolution of a concentrated vortex in an ideal fluid, Arch.

Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations Turkington, On the evolution of a concentrated vortex in an ideal fluid, Arch

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T20:47:07.839190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 2927a73f-d0f8-4b51-a96e-451c7f8b3e64 · inbound

Stability of oppositely-propagating pair of Hill's spherical vortices cites this paper.

Stability of oppositely-propagating pair of Hill's spherical vortices Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:05:46.768414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.