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Paper Citation Record · LEDGER

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

As of 22 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 2026-08-22T06:32:14.747728+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 2026-08-22T06:32:14.747728+00:00.

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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=sha256:5677e1f4d8c929155de0846a2344ffefc28747f66effc36af166d60f70a67ac5

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 2026-08-22T06:32:14.747728+00:00.

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.524604Z digest=sha256:6de971716dc9ba7f67402941ee7bbb4394c5fc04bdbe5719583dc1a926825c50

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.594984Z digest=sha256:5b71c475ed56eadb7142d164c6e0e0a8070c15ca77e71442c0968484ea893a5a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.682148Z digest=sha256:b0d24d68ffaac01e2b49bdd9a136fb8fa14a7ac27d9ed4f1394c583fb0f1e2e6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.687173Z digest=sha256:3d2578bb14170d3ead5cf25a532dfcacad49fbef1d72c0df4d1ad33d87487325

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.817983Z digest=sha256:b9ea1bc17ac462cc26822a1ce5793e0fef5dd144df755e592596585ff95a331b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:44.984345Z digest=sha256:cbad4d35bb3f4d1446d7433e572dd7f33c17e975b1d459bbfc4a6efb3118d8f5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:45.203573Z digest=sha256:6f2612430be87883dcdf46e58a4ef8258e9ad6199f8fae2f15627c9ea9913fd4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:45.329713Z digest=sha256:3e94cf07431ffbdc651587d4bcbf1c0456ebca2fd9ec511ad92597440a6c7de2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:45.494342Z digest=sha256:15f1ccfc2708781b0819f4f8a09ee24efe88bc5bb2291a164e15804e4b465f78

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:45.646345Z digest=sha256:1bec6f7687b4591ef1216e15ab5b352bb71c17767c35c4c7dccf4e0620fabf2d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:45.846306Z digest=sha256:ae6f890d6d6d598e00133c2c6899669782ab749b2745318bada9ec7f9af089b4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.022186Z digest=sha256:bfda0d20459af2ab04e4da7d775c2e662e4f2b0a97bc3f1a0a31d77c5243fd5c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.190598Z digest=sha256:119329e4b2a3a83fe183d43c9b5ee6047be1aba8f250d529a2a8c391a6e5d9c9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.376614Z digest=sha256:d84f2cbb08a393cd9946a4129cbf6505318a6034bdb4c3c9f2540f01e5fc0b83

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=sha256:871512b96f13c02b766de66d415f8d902c66119b44f84e9f571f5678d6e90bad

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.422518Z digest=sha256:3f23ab39eb2dabd9bbaa4d02815d2d51a8a50188fa6dbf98f3aaafa3a5199993

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.425167Z digest=sha256:452e1e0b2222f833fad224b5cf7510f955297de25dfa68ad014c04c15e2cfbca

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 2026-08-22T06:32:14.747728+00:00.

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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=sha256:6db19826bd09068970508902af7cd89a4a4747e21fe4449804ddea8c693a8562

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=sha256:2db3577ad27e42e66f7a1ebdc82068727b29006d0d71b7aad8d2c892fcfb51b1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.436809Z digest=sha256:20f021b5b762d2ed8f1d2c30e0808920a589da9cf3259f70d9295621f11b311b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.439658Z digest=sha256:076edfa45a39422ae5fdb1ed7d23042e591e3130bf9d21419b91c74714f8c8c1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.442403Z digest=sha256:951f6c50e416dbef388a8886517d868deabc0ff0e6afb42c11548a9b0d558eea

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=sha256:8a28ae617415dcb728adaeafc6f898ad02091276b6ea6ad9cbfbd18dfeccdcdc

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:e1e7b639f883871db3a2d25a5570fa6d9a6b86e071c7b067c32c1071092cd36b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.452051Z digest=sha256:b31484650a379ca10fd038fde6fc30fd9fa80471247bcbd3a7747ef76aef10dd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.454877Z digest=sha256:0c4599916c29af0f51fb86c30ba6a90fe6475a58170d9ba675bcca1155831e41

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.457468Z digest=sha256:0f16c3896f9188b5bd33e98cd95eed1881dae7a997ebe237433109ddd96f3ac9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.460401Z digest=sha256:3103330aae89e072c6a77dc5fc9b03c1c4a2ef7756601823a64e0005dab04487

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.463020Z digest=sha256:c0b699597a759518d19032275579e32836e4eebc5120fa5dde0932db8b7062f2

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.465643Z digest=sha256:620d335fbbfaf94e10e2a33e34d96fa03aac3d09bca616b92d4d5ca22ca39a76

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.468371Z digest=sha256:d014c32f246df39446708087f4e4225b08af3dace2cee5b8f4bf5932b57db59f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.471109Z digest=sha256:948e87c17def2815d6725a3bf6b0c30265c5a00db26a86637791be82fbee792c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.473836Z digest=sha256:918e41234fdb689d889a337d482f3049b2691b4e50344c603fbaa92911e1e832

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=sha256:37cd6697478edcfa41b0187af4f77067971b9f185f015ad73d7eeda2339534de

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.479258Z digest=sha256:93a0469aac6132c0965061a967c2f30e04e082fded14fda7bd16eeef14cbf21e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.481675Z digest=sha256:74d9287821fb2082e145ca6cafc71842300abc08c8b9c10cdfc603e305e747b0

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.484198Z digest=sha256:bfbea6e756ed38699347d4823f6c2453efe9ae6733c7e7ee8a2bb3987ac5d0c7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.487194Z digest=sha256:2be526e2cd811738c8053fd4b4f13eff2b2648288463f0a1451c1dee2c0a0685

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.490264Z digest=sha256:c0be5f78f8bf614c7d8f65da6d9e1eef354aff4f1b04619e555362f231bca4d1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.493122Z digest=sha256:1c571e8c58deba06326264e6ae218e6d5af4dc1fee31fc04851514372b4f0ce7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.495565Z digest=sha256:2c936850042ac5affc5d7794078350f0d490a69b62361df6ea50566e68a9ba45

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.498240Z digest=sha256:eaf09415b055f33a017eda73108450968717ffcc8187d60dfcc1a360f7269dfc

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.500706Z digest=sha256:9b1333d32f83bd5cf3074a2feb79359c9b2b87cb257bd6e18ece460cc1680db3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.503676Z digest=sha256:aa1cc8f2b118c2ad8f2c7c073c2267c2aeba6252f71d81f5aaa254cec1ddba9a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.506174Z digest=sha256:0b0f2b9d2c35ff82ea127f74a32df1ee32bdcd024a3e26085e89f43fef5da23e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.509106Z digest=sha256:a1e8e51f4d8f16075ae9a2e0cb4c2f11e3e1b433b35abbae654eff5840c0e906

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.511598Z digest=sha256:1c6dae41d9b28169e03fffe7f05c6d7722b1bae03e435704c173ea3e5feae6f9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.514608Z digest=sha256:e71544f3d17d1fc4e2100c45ab474d288491050608c652c9f7d864ca9d20f1f8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.517372Z digest=sha256:c301eec4823a473a513ca7b07ca8d086983ca0f23bb41b694b5e27af0fa713aa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.519874Z digest=sha256:208f7e82fb44875015ff83ad22e4cd25dca97aeeac61690fb9ec46435e81aeb8

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.522594Z digest=sha256:7ba6a1338a9f4133b88ed6836324578d07df8ef2fbad6780ea760d74d4798290

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.525171Z digest=sha256:1e8a58fd6c88eaf6f0b1b9f99fc971fafc4521502c7d96a1b2cdc95529322853

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.527771Z digest=sha256:59fcd9b3c92ae9fabd5d9c88d7b757a4acad356ee24dbe57900df9d052dd2af9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.530178Z digest=sha256:3947dc19d80bf3650252f1d9686ed9eda45073ada180dd745788d24197df57a6

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.532637Z digest=sha256:dea01a3d34b68d9a80dc60a0b3cc8c2a306925eb41a6c76c80ed566f46d30e94

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.535928Z digest=sha256:e87b68ef07ebd76a0985b54ea1933a7609f70f52e2bf47829bf912d41c16994f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.538238Z digest=sha256:4e1d09d880ccea555287121a080b4b96880eebd35986198a0d7a81af680e52ec

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.540710Z digest=sha256:cf146a24c20f210a0e9f966b7d2cea7df7f9427bdf7b94a20509645b644535a3

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.543256Z digest=sha256:975b3aac8347560ea6e2d344152710c7ca91baac057eb06eda8fad789b059bb5

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:fe96a089e94d533776b96b5debff6773d1707d84e0f485bc3af0ffbc235ee9b5

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.548468Z digest=sha256:73fceb06032a92770612b19bbf04887face72edad87dfd36b792dffa11ca4d5e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.551200Z digest=sha256:1b9682a036be684b8c547f5f1014a597cb89072c39941cdb0a71540df6b8118b

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T14:05:46.554013Z digest=sha256:c0d38713759301a173f9f7bbc7ab28755714cb50f10c541e2b07fd6da8db4e87

Pith citing papers

No inbound Pith citation observations are available.