Pith. sign in

Paper Citation Record · LEDGER

Stability of oppositely-propagating pair of Hill's spherical vortices

As of 9 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 0 inbound Pith citation observations for arXiv:2507.19935.

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

pith.paper-citation-record.v1
2507.19935 v2

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:05:46.554013Z

measured 67 of 67 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

67 of 67 outbound references displayed

  • verified exact2
  • verified fuzzy39
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 509d4b1a-b8a1-4107-bbee-d87e97577ecb · outbound

This paper cites Stability of Lamb dipoles.

Stability of oppositely-propagating pair of Hill's spherical vortices Stability of Lamb dipoles

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.286752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.264266Z digest=sha256:7ad6b428482ab47707f263abdb02d35120b213e0700ac2fdbaeb524afdb17e3d

Observation ca64be12-a768-42aa-b056-1db9520781bb · outbound

This paper cites Stability for multiple Lamb dipoles.

Stability of oppositely-propagating pair of Hill's spherical vortices Stability for multiple Lamb dipoles

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:44.328436Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:44.328436Z digest=sha256:235fbd257058d5729b8fbfeb056145e318929b05291c54aaa3d05fd33ba17f9d

Observation e4f7268d-84b3-4321-bc3d-8cc73330647f · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.277512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.428713Z digest=sha256:322bfc86d3c45556534a81fee99bcaddcc0e0c021caea2410c13876c671ae08c

Observation eb28c7e1-d757-4a31-a354-0c425f1e03b5 · outbound

This paper cites On the existence of leapfrogging pair of circular vortex filaments.

Stability of oppositely-propagating pair of Hill's spherical vortices On the existence of leapfrogging pair of circular vortex filaments

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.268510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.524604Z digest=sha256:05ee1e92eb85c09024abcd3e4d26148cc745d972d095dc6216e96c5ba27d7b3d

Observation 813e1431-74cd-4b7d-bc83-1e29bb0e2bca · outbound

This paper cites Amick and L.

Stability of oppositely-propagating pair of Hill's spherical vortices Amick and L

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.259162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.594984Z digest=sha256:17684380e26670329746f9af98de1406e1f3b74bbbf09383f67882c635228b3a

Observation a436acf5-7972-4dd6-a5fa-5b47b974e908 · outbound

This paper cites Motion of three vortices.

Stability of oppositely-propagating pair of Hill's spherical vortices Motion of three vortices

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.251095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.682148Z digest=sha256:1f7109dd6b6e7daa44af7661165d47c242bb3c5debf9fe1e29841198cf8f502f

Observation 9afacb1d-d9b7-4ef8-bd19-193a74e4998f · outbound

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

Stability of oppositely-propagating pair of Hill's spherical vortices Point vortex dynamics: A classical mathematics playground

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.242232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.687173Z digest=sha256:af75598a1b3a1d05a4b180eb4b65faff6a6a51350e0586b0f5e64b9a14e96a51

Observation ad9224cd-380e-4d25-95cd-a28a7f707ec2 · outbound

This paper cites Kadtke, Ireneusz Zawadzki, Laurence J.

Stability of oppositely-propagating pair of Hill's spherical vortices Kadtke, Ireneusz Zawadzki, Laurence J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.232428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.817983Z digest=sha256:0b6b56ce3a4dc284978af2f26c867c9af5ec9b87754da6c4b6c66f41ad9e98ef

Observation 6bd11267-a2d2-4380-a62d-7dceb1d3466d · outbound

This paper cites Barry, Glen R.

Stability of oppositely-propagating pair of Hill's spherical vortices Barry, Glen R

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.223489Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:44.984345Z digest=sha256:fbd995424825ded29e14fdd97f78c48bf0059f25cd7fcf8a9a91f416fb900d1b

Observation cda42bb5-3b88-475b-964f-3864ac1a502b · outbound

This paper cites Behring and Roy H.

Stability of oppositely-propagating pair of Hill's spherical vortices Behring and Roy H

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.213945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:45.203573Z digest=sha256:ed00e0602926ef6ba748a6d8c9a898a5e6fd32fdfe83a9378dfbbaa293da875d

Observation 4d97929a-e8eb-4d87-afd5-b178eb8efef6 · outbound

This paper cites Leapfrogging vortex rings as scaling limit of Euler equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Leapfrogging vortex rings as scaling limit of Euler equations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.204392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:45.329713Z digest=sha256:d7df52020d11217bd4aadfc34be75654ec5bcc50368700a4e7feadf1364df7ba

Observation 5202bbe2-2c0a-4cb5-ab86-81390346ba41 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.194942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:45.494342Z digest=sha256:03c245543fbc7ca105e16d5829442b16bcd2bbd09e032ce42d4e5cde4bf529db

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

This paper cites Dynamics and leapfrogging phenomena of multiple helical vortices for 3D incompressible Euler equations.

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:45.646345Z digest=sha256:5a884abf8edceb7154f90e1bfa225cb68d378c327cf828b00cb0bd85dab37ea4

Observation d6be1d2c-0abe-469e-82fa-71e9a1dcf1af · outbound

This paper cites Traveling vortex pairs for 2D incompressible Euler equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Traveling vortex pairs for 2D incompressible Euler equations

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.185839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:45.846306Z digest=sha256:8f825731a508bc2852f374cdb060a8c21b88a06f49072c612023131168a69ed6

Observation d609aa47-c404-422b-8f3e-fac10b343322 · outbound

This paper cites Celli, E.

Stability of oppositely-propagating pair of Hill's spherical vortices Celli, E

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.177201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.022186Z digest=sha256:c423afb590068de98fc4335a079102b8fd132385bfe8d65f0a27c581b436daa2

Observation dfc9d421-112c-4483-b4e9-2deb189ada80 · outbound

This paper cites Cheng, J.

Stability of oppositely-propagating pair of Hill's spherical vortices Cheng, J

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.167954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.190598Z digest=sha256:ad65d1c2d74d60460fc50f41b687c62bce0b9658269e47028db7269a5c0cc03f

Observation 4aef28a6-9af6-498b-aa92-d4e12821df6f · outbound

This paper cites Stability of Hill’s spherical vortex.

Stability of oppositely-propagating pair of Hill's spherical vortices Stability of Hill’s spherical vortex

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.158623Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.376614Z digest=sha256:fff14f99de74fc9e1af9ef825ddbd7e559173d780629c1fdfd8befaf8c2e44fb

Observation 1e28a232-5057-47f1-9b47-a9fb4082817e · outbound

This paper cites On vortex stretching for anti-parallel axisymmetric flows.

Stability of oppositely-propagating pair of Hill's spherical vortices On vortex stretching for anti-parallel axisymmetric flows

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.419260Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.419260Z digest=sha256:f2a7b0f79d09a2f4b8486f60a080bc215f30ae0a4d7c50b3a7419df6b442189f

Observation 8728a1dd-5653-47ae-8a72-3c37a37679ef · outbound

This paper cites Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole.

Stability of oppositely-propagating pair of Hill's spherical vortices Infinite growth in vorticity gradient of compactly supported planar vorticity near Lamb dipole

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.149784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.422518Z digest=sha256:a89d47a501242ebb0046c602b819b0c1e9b0226cec73e53ce2e045864ad09bcd

Observation dca80566-e4d0-4954-8296-e8d57b75ad84 · outbound

This paper cites Filamentation near Hill’s vortex.

Stability of oppositely-propagating pair of Hill's spherical vortices Filamentation near Hill’s vortex

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.140689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.425167Z digest=sha256:46a4fa811817dbf877e913f2f4e7dd43e690ac57801c308337389e6de651deb6

Observation c9392123-7b3a-48df-a8fa-2f6ad83e850e · outbound

This paper cites On Existence of Sadovskii Vortex Patch: A Touching Pair of Symmetric Counter-Rotating Uniform Vortices.

Stability of oppositely-propagating pair of Hill's spherical vortices On Existence of Sadovskii Vortex Patch: A Touching Pair of Symmetric Counter-Rotating Uniform Vortices

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.132184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.428371Z digest=sha256:c031aca65f30e98536b6cab2429a36900be20835f3cf5c6354765decf07289a0

Observation dce1d102-f951-4035-8daa-94f48743a8dd · outbound

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

Stability of oppositely-propagating pair of Hill's spherical vortices Stability of vortex quadrupoles with odd-odd symmetry

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.430963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.430963Z digest=sha256:a8c6a067ff451fab363b9bdfb5df5d6216efbd730b9ba1b9beb1532c12ea1830

Observation 3595b6c5-cb9d-4055-ab3f-57f07d9ee1ae · outbound

This paper cites Existence and stability of Sadovskii vortices: from vortex patches to regular vorticity.

Stability of oppositely-propagating pair of Hill's spherical vortices Existence and stability of Sadovskii vortices: from vortex patches to regular vorticity

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.434007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.434007Z digest=sha256:12d1905a20c3c4b3dd7ebcf7b4d8bd2e4127a7e8ad536d5c9e921df54b0e45b4

Observation 0aac4959-6c08-4c36-966d-27fe0e3470cb · outbound

This paper cites Head-on collision of two coaxial vortex rings: experiment and computation.

Stability of oppositely-propagating pair of Hill's spherical vortices Head-on collision of two coaxial vortex rings: experiment and computation

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.123030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.436809Z digest=sha256:17116e1fa8b2cd795a055fcd76468e6eab9eb457b86df66ac31b0dca84c4f62c

Observation e0c7da1e-8e4b-4088-9869-0bccbe6b0635 · outbound

This paper cites Leapfrogging vortex rings for the three-dimensional incompressible Euler equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Leapfrogging vortex rings for the three-dimensional incompressible Euler equations

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.114057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.439658Z digest=sha256:96e83f21cf42b4f9ad6e9bd23f47454c46c5f778b5ed3a60d201430e1dfc00fd

Observation 98582235-db6b-4aab-940f-0b29fe53c6de · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.105156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.442403Z digest=sha256:c895e66475245086fbda956b5828a884c9ac5b8cd21dac22f1b99f85a8546a9b

Observation 557f515c-07d9-4570-8362-d2cf51346c23 · outbound

This paper cites On the dynamics of leapfrogging vortex rings.

Stability of oppositely-propagating pair of Hill's spherical vortices On the dynamics of leapfrogging vortex rings

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.445775Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.445775Z digest=sha256:76187159cbe7a5537f0a14e07671d15959077643f58f926d1571e617784de2b9

Observation 0de7886e-831e-4b84-b9bb-c0895508a7e2 · outbound

This paper cites Global in Time Vortex Configurations for the 2D Euler equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Global in Time Vortex Configurations for the 2D Euler equations

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.449128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.449128Z digest=sha256:87f760e930628a786820bffe2f34f9559de54c7dc97f7ada48a6c15a4dd96fb3

Observation 787a30b5-43da-4022-bba1-94bdb9d05720 · outbound

This paper cites An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations.

Stability of oppositely-propagating pair of Hill's spherical vortices An Expanding Self-Similar Vortex Configuration for the 2D Euler Equations

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-06T14:05:46.598521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.452051Z digest=sha256:435e54c8968f2649035cd42d7943a55a6acaf849ea6e96150da54c444c6e34e8

Observation d1ad5470-327f-4601-be46-4ea47ba2a20f · outbound

This paper cites On the Cauchy problem for axi-symmetric vortex rings.

Stability of oppositely-propagating pair of Hill's spherical vortices On the Cauchy problem for axi-symmetric vortex rings

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.097125Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.454877Z digest=sha256:5bdfafa67d980b21caecf572b89961479b1f7ac810b6ff48962196fb6982f2e7

Observation 6271b8e9-7342-46ce-9a59-31487dd4f0a8 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 31

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.088532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.457468Z digest=sha256:c2994c6c000d9493dfaab1faf6168ab9bb659807287cef13cfc484e71316897a

Observation 19c0cb97-97a1-49ae-bbed-44b3487ec19a · outbound

This paper cites Parker, Andrew W.

Stability of oppositely-propagating pair of Hill's spherical vortices Parker, Andrew W

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.080526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.460401Z digest=sha256:18cd42488d706f174242af04af026e00192cb65948c968ad9a15b15c55e34f23

Observation 5dbd0f6a-6ae0-4101-bbc6-d46528b0c433 · outbound

This paper cites V ortex patches choreography for active scalar equations.J.

Stability of oppositely-propagating pair of Hill's spherical vortices V ortex patches choreography for active scalar equations.J

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.072112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.463020Z digest=sha256:1d7946d59dfbce8617a2aa881dd5581f6d22be634f53b017cafe9c1f04de779e

Observation 4cea7672-6cd7-4322-a737-1d4f1b32be0b · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.063634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.465643Z digest=sha256:fac967f21179c220d11099902f802237c0523a1253488203f53a15403e3baa84

Observation 184266bc-797e-489f-a931-0c8b9d770140 · outbound

This paper cites Co-rotating vortices with N fold symmetry for the inviscid surface quasi- geostrophic equation.

Stability of oppositely-propagating pair of Hill's spherical vortices Co-rotating vortices with N fold symmetry for the inviscid surface quasi- geostrophic equation

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.055613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.468371Z digest=sha256:5f226348f4a8e8edc2c7a2ce9946ceb13dfaabc32a012951249a931e5f961a42

Observation eef249e3-1ea4-4ea7-8283-ce8770cde2ec · outbound

This paper cites Numerical simulations of two coaxial vortex rings head-on collision.

Stability of oppositely-propagating pair of Hill's spherical vortices Numerical simulations of two coaxial vortex rings head-on collision

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.047167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.471109Z digest=sha256:455eabcd2b26ce9f0fb3979d76e2744260f26163406967e08ad8ad9125e254a4

Observation 3d19c583-c749-4fb7-bf1c-56776a9c1726 · outbound

This paper cites Steady asymmetric vortex pairs for Euler equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Steady asymmetric vortex pairs for Euler equations

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.038875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.473836Z digest=sha256:8a70c50c31a57848555fcb7d8fc5df523f8f5affca3d356777a6c8bee1cb0e7d

Observation 5b1e229a-1c50-47c1-b8cd-1aae77f220e6 · outbound

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

Stability of oppositely-propagating pair of Hill's spherical vortices Rigorous derivation of the leapfrogging motion for planar Euler equations

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.476478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.476478Z digest=sha256:69c5e4c7e8fa95ca09717df1f4ff4893043c952af83e19dbb8785967765df5e1

Observation 82bbd6e6-6bd1-46ee-ad6a-d0b3e81d0816 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.030515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.479258Z digest=sha256:d303332837cc2aaf8f62a84355b01e5c5febae830ac8e8f7e798b5a9b3e3297b

Observation 2b4ce889-2bf6-44af-84dc-52c4176e4153 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.021944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.481675Z digest=sha256:f17c51ea5121413462f940070b7dd72f00a4eee87a4ad3dc1dcdb9f319ae5135

Observation 0ac2a119-5c6a-49f7-84fd-3427cad43838 · outbound

This paper cites Helmholtz.

Stability of oppositely-propagating pair of Hill's spherical vortices Helmholtz

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:47.013653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.484198Z digest=sha256:5c548cc55701529fb1ac33ffc569ba1854239d6ccaa3fb55ccb9da327fb5e8fb

Observation e76a0ada-b852-469b-b7bf-3232fd6c7d73 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:47.004574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.487194Z digest=sha256:a6d2e8eb62d957af3b06278781d9512fd5711714b4c52921b1d31589617034a8

Observation 8bf0d025-ef51-48f0-a334-5f52223b63ad · outbound

This paper cites Existence of corotating and counter-rotating vortex pairs for active scalar equations.

Stability of oppositely-propagating pair of Hill's spherical vortices Existence of corotating and counter-rotating vortex pairs for active scalar equations

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.996349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.490264Z digest=sha256:2d7fdd5f836bc940f93d6b68c5adeebd36139d78faf5be965897ebf3b14c7cad

Observation cf81d041-fe95-42f1-8dcb-f0ee1895491a · outbound

This paper cites Sideris, and Pascal Gamblin.

Stability of oppositely-propagating pair of Hill's spherical vortices Sideris, and Pascal Gamblin

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.987581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.493122Z digest=sha256:105041b252c06a32a50f41e2572f211ae0c50322245e097a788357381d6bb58d

Observation 763afe03-0693-4c32-9d6d-a964b06b9ed5 · outbound

This paper cites V orlesungen¨uber mathematische Physik, volume 1.

Stability of oppositely-propagating pair of Hill's spherical vortices V orlesungen¨uber mathematische Physik, volume 1

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.978844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.495565Z digest=sha256:90821408a9e6ce6a8fe63bb19df62b2ac4d19e8d1f2436b8d1fa080bf17c8901

Observation 6df50821-511d-4641-a836-cb69254ead0e · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.969936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.498240Z digest=sha256:3e132d69d35aba11d2fdc704f86b5306b3e056dee14eb67f0c57de38d0452ce5

Observation 25b27f74-6122-4ed4-9670-55d89bd03cce · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 47

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.961555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.500706Z digest=sha256:46ae6f415dc42cf8d0fac2f311f46f2d5bd812bfc540ac819fd5ed51fbe3a12c

Observation ca7f31a6-1ea4-41d9-9c74-3aabf9edccce · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.952780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.503676Z digest=sha256:936dc021a88afa58d0ab37f11f96ff8e0e49219d53ae03f0fa62fe8fc432bcd3

Observation 08be6f88-3d59-4c19-97ae-471577253cca · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.944468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.506174Z digest=sha256:a3d6f5226563a8f265b7e30654ab02ebb4e34c8aec929c803ac09f14535b2e72

Observation 337c17ef-82eb-476e-a8c1-88383e8189fa · outbound

This paper cites Hydrodynamics.

Stability of oppositely-propagating pair of Hill's spherical vortices Hydrodynamics

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.935644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.509106Z digest=sha256:8f573a3ea22dda68c1450fcdde1c68472ce3b7f3259c93e4131d3a296267f757

Observation dbde9e99-f02b-486e-b36a-3090e24ca362 · outbound

This paper cites Leoncini, L.

Stability of oppositely-propagating pair of Hill's spherical vortices Leoncini, L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.927126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.511598Z digest=sha256:49bccdca04e44f7614852c5089b0a0b4e3faddd3cf0f8d2af8f7ca448abe8e30

Observation 23c299f2-f980-4cd6-b3a3-0cac6819b4dc · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.918780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.514608Z digest=sha256:732aac02e632daf90ebe66f483dd43f4b49427667c263acf0740be51c6330f62

Observation 53b8bf82-7003-45e6-8a80-524b906e5d19 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 53

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.910255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.517372Z digest=sha256:fd490bd244966beba489a3794469a2742cb30e3807286c6eddd757ad78e2d401

Observation 06d5117f-42a8-43b5-8b61-b2dd8a0ca6dd · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.901805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.519874Z digest=sha256:122c5682e2ad607122a6621519b833c6c6849c8b5b8990c44bf49cb55b0bfee5

Observation 7281ba10-ffe2-4676-b368-1cbe3ace70f8 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.893293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.522594Z digest=sha256:63b20c73e38eb645c5791bcd8fa14d3b59d58eed0be5d69e32adb2a1c656c643

Observation d2edb037-b3d1-4f6d-addf-486fa78be943 · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.883805Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.525171Z digest=sha256:0adc7b4dc4c56267f595afda3cb6e327f7388c3925269d374a97d3381eac5cb6

Observation 942a9829-5810-43d8-a49f-7940e627e9cf · outbound

This paper cites an unresolved cited work.

Stability of oppositely-propagating pair of Hill's spherical vortices Unresolved cited work

Reference 57

Resolution
unresolved
raw_fallback, observed 2026-08-06T14:05:46.875337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.527771Z digest=sha256:c7fede3fe600386db59ca8dc8f24994bad08d15a50ed363a2f6983f7106c492b

Observation 5508da21-5cd3-448f-b914-91a2a00838cc · outbound

This paper cites Head-on Collision of Two Vortex Rings.

Stability of oppositely-propagating pair of Hill's spherical vortices Head-on Collision of Two Vortex Rings

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.866350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.530178Z digest=sha256:9e82aaa73476d3c3b116b8c0209e76caf921ee910cd8d7c214dd7ad36eb7c2c7

Observation 95af3fce-f2db-4e27-847c-7a130914e94d · outbound

This paper cites Pozrikidis.

Stability of oppositely-propagating pair of Hill's spherical vortices Pozrikidis

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.857036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.532637Z digest=sha256:7c4349df1bcb467876cca524bcfc9767f6a43711d3af543693f2c8b753a8f0cd

Observation 827aa179-72b9-41e4-a084-02d3d7cf4b7f · outbound

This paper cites Linear stability of Hill’s vortex to axisymmetric perturbations.

Stability of oppositely-propagating pair of Hill's spherical vortices Linear stability of Hill’s vortex to axisymmetric perturbations

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.848615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.535928Z digest=sha256:1f0fc8d41cf08f83182f5a714c1dabb618436fdaffb2978d23ca45de38977485

Observation 3196bfc7-1c50-4a22-88dc-2704a803c7d3 · outbound

This paper cites V ortex rings.

Stability of oppositely-propagating pair of Hill's spherical vortices V ortex rings

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.839101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.538238Z digest=sha256:ce677973d0c9da1f2c29fcbf696c5ec4cd7da4fa140b4cb461d8c4ba23ab4982

Observation bb413bdf-6995-4948-b55a-22d6b114edb2 · outbound

This paper cites Zabusky, and Joel H.

Stability of oppositely-propagating pair of Hill's spherical vortices Zabusky, and Joel H

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.830157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.540710Z digest=sha256:c62120aa786516227fa16ce7ab99ddbedda36c1958cb2a1114a8c8354ef38279

Observation 7ad8f413-bde2-4e08-85ff-6e7df319a0d2 · outbound

This paper cites Instability of vortex pair leapfrogging.

Stability of oppositely-propagating pair of Hill's spherical vortices Instability of vortex pair leapfrogging

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.820421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.543256Z digest=sha256:50369ef8050695894f7e623ea11f1562edbebfc8d93a4021a3b42276cbd39130

Observation e4764edd-863e-4759-8305-4c0864a3daa5 · outbound

This paper cites On steady vortex flow in two dimensions.

Stability of oppositely-propagating pair of Hill's spherical vortices On steady vortex flow in two dimensions

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T14:05:46.546039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:05:46.546039Z digest=sha256:93047e272853865de61d0b3839ab6ee6e48f036f74a01e85b2ba1c9ba6a21380

Observation 40c760be-f01e-4631-877a-0f2d618af0aa · outbound

This paper cites Variational principles for Hill’s spherical vortex and nearly spherical vortices.

Stability of oppositely-propagating pair of Hill's spherical vortices Variational principles for Hill’s spherical vortex and nearly spherical vortices

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.805587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.548468Z digest=sha256:502aae84250eb7dadc906ee062cc32c7cd9b8e7bd5f73fc0e8718b16fdd962e7

Observation 13ecfbd2-5ace-47b3-a2e0-de222fec7853 · outbound

This paper cites V ortex motion of the Euler and lake equations.J.

Stability of oppositely-propagating pair of Hill's spherical vortices V ortex motion of the Euler and lake equations.J

Reference 66

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.796111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.551200Z digest=sha256:448184cf75cd4a1d225f91f818a64bd4d51508b437d5e712216c9aa9d125905e

Observation 5e410583-7cbd-4e0e-b79b-2b3d84f62175 · outbound

This paper cites From point vortices to vortex patches in self-similar expanding configurations.

Stability of oppositely-propagating pair of Hill's spherical vortices From point vortices to vortex patches in self-similar expanding configurations

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:05:46.787584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:05:46.554013Z digest=sha256:a2af01efc0f0b6ca163d91a87a2fde8d763c5d369cc488ef5c4de5b7f84aa1cd

Pith citing papers

No inbound Pith citation observations are available.