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Paper Citation Record · LEDGER

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

As of 23 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 2026-08-23T06:30:58.430688+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
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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+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.

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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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:44.524604Z digest=sha256:2c4a2c4fc7da6c8cda9359ef0273aecc41168065db344267e217c0b83aea98fd

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 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:44.817983Z digest=sha256:d4d466a84d2c8a8474553ab2074132ac4853b075200a8330f2af289cafdb69c7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:44.984345Z digest=sha256:920e9bc5db0ae4bda245d60cd9708f271999aad1c6795662c91132deffd3bf1a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:45.203573Z digest=sha256:d7b282d461500eadc0ba974e867c9a3af60afae7cfed8e4c62beff95bf641308

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:45.329713Z digest=sha256:8187e1f2df699db356938e88b5bae32b999fbb5948df63ced5dff46bd9c875a0

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 2026-08-23T06:30:58.430688+00:00.

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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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:45.646345Z digest=sha256:186cbf32c330531394cb8f9353ea958378a35de836e6a479a482bab420a80772

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:45.846306Z digest=sha256:627263c130965213ff7f147167eb7e440be0632d8567d3d2175617d20a973231

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.022186Z digest=sha256:85bab2047e62ba47f0382b6cfa2d22421994596d4a87151730fa2b79710664f0

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.190598Z digest=sha256:84a1bd3523a0d1acb661875c1d5d428a7e82a6509676b64851b88b3a3cebabdf

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.376614Z digest=sha256:aa3a4317f91aeb760ea51f874ecfc919ee77e2d09af8e5390c62073bf8c9e788

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.422518Z digest=sha256:18a23cc8908bbcf60db16e7620b24d5c166f514f8c0c93e204191ffea6c9fa26

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.425167Z digest=sha256:6d01b87cf77f774db0578df2ec868d5939a1a1d84a70a1847782933ff00711a1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.428371Z digest=sha256:2559289ba8ea1bf6592edb5a2350fbd7233fc0ae5ee697bdfa27972e557d9ec9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.436809Z digest=sha256:43f9d246284ac315fa6f8886f2ed8e5c5d9e38e09110f450e01b11c9366552a8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.439658Z digest=sha256:dcf15cf25b5282d6a07131a71251b8225a68648aefd20ba8143e196893ba41bb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.442403Z digest=sha256:3d45c89c607bef6c102ceaff6065a8af4cbacb1ca1afbdd3dd0e7856f66534be

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.452051Z digest=sha256:f34be5268b6ea76501bfcdb1b26b045628aa4b2738b26a23b04ff15883f8440e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.454877Z digest=sha256:500add02ccb842195202e4fb22952f8eb949b2defa2137e5d0e085a6c0e6a37c

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.457468Z digest=sha256:35bb3fffd9020ae06e63bf6f3f1203da50be2785dee0995a901e58f9673fd29a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.460401Z digest=sha256:14901e9fd7075b358d8b89a3f873841ddf067af1d9d7631f6673cb673b99796e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.463020Z digest=sha256:a91200c2f4c41b770cc2e365816438f2519303b311e1434181a0c56e74f3ff54

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.465643Z digest=sha256:dc5cd8c9434f471a7f296e30baa74e8cb971efed22b1de66d218c5a6b73beea2

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.468371Z digest=sha256:b9689431fd19cb1f63ab21c4f3945ae7d27687c4087570d9557f9c74595857f2

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.471109Z digest=sha256:2963376bd5bc27377a76f1cfca0f46061471acd967a8d5ed112750561826e500

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.473836Z digest=sha256:b30dd3d5e6188a46e4005428e7746576197f50dd17d6e1843bd4473356f28325

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.479258Z digest=sha256:63a8f4a218252790086e1a0f414f0aebdefa7163d60b02db72bd63cd4cc8ac7d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.481675Z digest=sha256:68a80ab526ccab99324f700c88e2cf967f00e5aaa8b680fc2cb541f8ccd903c1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.484198Z digest=sha256:5d8a54aad4b07ed1c5a97834a7a29e7315eb554b9dca1737da22c9ecc39ac051

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.487194Z digest=sha256:0b612f2d99da2863e1aeb3ac0d48c9c90dc661794d118bc41932f0623ebdb50a

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.490264Z digest=sha256:85edca200379cc1598dd5479ac0e9da001253215c5e697132d3c9ee4c37cbab3

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.493122Z digest=sha256:3531a431c6daa23fda30f88de6742bc7d1e90b5c2a76880d7ec54e058bf42e9d

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.495565Z digest=sha256:20f9390fe61220a53c3ceb1c84e409069c737d2cb1dba0817919eade8c769b07

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.498240Z digest=sha256:77fc94cf0774ef1d8d107d0922bbd6ecc62b85f06a582e014e937d382b53c382

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.500706Z digest=sha256:bde6365c27d8991758f434ec0273adb6ee3a20050cb5758265e19291541975fb

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.503676Z digest=sha256:edda0661bed571887da9f4a0e0c5103f33bb0c171eb5842f609936074a91f997

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.506174Z digest=sha256:e371690c9459255214da6b311ce70c4ad3aded9c202890d6039e29f24bd6eb37

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.509106Z digest=sha256:8aa24b54b8595333a0d0a93d02b0320ba74b845bbf703b7b83b60c22c954fdfc

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.511598Z digest=sha256:34c5e5670ae6353199b71de791b26416ee82c58e9be7d6a6dd76be1952b8ce92

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.514608Z digest=sha256:dc4fc1010f19bfca60f7d1e2b60f0e412c2f19b24063fedc5803e91874d1ad2b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.517372Z digest=sha256:c5120d4e66eed858980e1193c32d71dd089a3b0f5df636796c795c3a5fd4f25f

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.519874Z digest=sha256:3e2dc13c4d9d921c3e7fab8e331d2ac7f0f3d818df0ddbb3a0b25933faee47d8

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.522594Z digest=sha256:705ffc0faf028492ca078323d3c3182143e22af506a572ad94e0e42fef799077

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.525171Z digest=sha256:97e2611067ccf4eacf4e07c6afa024876c61b9c52de6776222affcf0d5b03c4b

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.527771Z digest=sha256:a93080d9c4070ec86c8e1c4c92aacff749179ab70e146b8962222fb0449e335e

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.530178Z digest=sha256:f08be517e6c8d7e520c0bc664964c418456d2e3a059be47c3dc4189aaad6efd7

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.532637Z digest=sha256:6f28b91a359e8c4bc9d4e6070558545f1fae371619216dd1948b94590186d363

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.535928Z digest=sha256:201ba9f25e90306d2d60a2817771d3d1ca40d794c1da1df3f123ddb1fa97e058

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.538238Z digest=sha256:ee381dbd51a2587db65e145ad280b370c7e01b55cf13c3f2a102cae1ae49f2fd

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.540710Z digest=sha256:6f3d2b5e12b514b0f67127d4676ea584ef7aab6ed042de84ff461ffd09c9b9d1

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.543256Z digest=sha256:f55a03074100259b04d6303a6042eec30a82694d970a51754b43b529a0ce4809

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.548468Z digest=sha256:a74728c5e086910ad2be6e8d9d69996ff8343256fc713db0c204dfc7237d57b9

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.551200Z digest=sha256:892ead8382f423211a31a63dc529687d32a5d57f388e1c1c911bf306f02d2071

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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T14:05:46.554013Z digest=sha256:286c7b7183b2f429ad69d3eaa58ac8ec3f515bb2d1714fec7eb19f1ed6373e52

Pith citing papers

No inbound Pith citation observations are available.