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Paper Citation Record · LEDGER

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions

As of 23 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2506.11414.

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

pith.paper-citation-record.v1
2506.11414 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T04:21:06.977963Z

measured 31 of 31 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

31 of 31 outbound references displayed

  • verified exact6
  • verified fuzzy21
  • unresolved4
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6ac9ad38-cf0d-4923-9de0-2844639d5080 · outbound

This paper cites On the water-wave equations with surface tension.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions On the water-wave equations with surface tension

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.571644Z

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=2026-08-07T04:21:06.842487Z digest=sha256:45c7bab7d6609d7dc65996adbcb8659530283b869e50e5c2251b22f22b97a1dc

Observation 6ddaf27b-9718-4a8d-a94b-0613743b8a17 · outbound

This paper cites an unresolved cited work.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Unresolved cited work

Reference 2

Resolution
verified exact
raw_fallback, observed 2026-08-07T04:21:07.262288Z

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=2026-08-07T04:21:06.847580Z digest=sha256:7d5c42f4601e44f8d5343fefe4491bbf1837e0765fe47081d193a889eeff843e

Observation a4c54919-1ae1-4cd9-a710-8e78e218eba5 · outbound

This paper cites Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Bifurcation from multiple eigenvalues of rotating traveling waves on a capillary liquid drop

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-07T04:21:06.851991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:21:06.851991Z digest=sha256:8fda3d85d813f4be14b78655d691d7c11b08eb3ee039968d6fcdeed4f54fcbdd

Observation 7f58439e-1e2a-4c8e-9b33-62b668ed9ca1 · outbound

This paper cites Almost global solutions of capillary-gravity water waves equations on the circle.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Almost global solutions of capillary-gravity water waves equations on the circle

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.558659Z

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=2026-08-07T04:21:06.856939Z digest=sha256:efeb53113836542b93e9c333e64e27abcf13ed88c817661585770b8e01615ee9

Observation a29364be-6a25-4feb-a45b-951671420de0 · outbound

This paper cites Quadratic life span of periodic gravity-capillary water waves.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Quadratic life span of periodic gravity-capillary water waves

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.545634Z

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=2026-08-07T04:21:06.861875Z digest=sha256:e93c16d696cf99ae6ee30de843c38396c9687054836f243932990484aeba66d1

Observation 6666f748-a450-4f52-8fe8-690a7d10b37d · outbound

This paper cites On the cauchy problem for a capillary drop.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions On the cauchy problem for a capillary drop

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.532193Z

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=2026-08-07T04:21:06.866507Z digest=sha256:9a809d4f5d35207b28e39ae80aa3209edb318b300d6893257cdae38ea7ad278d

Observation a68a0d12-8bd6-4589-bddd-09c4c242ccd4 · outbound

This paper cites Finite time singularities for the free boundary incompressible euler equations.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Finite time singularities for the free boundary incompressible euler equations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.518850Z

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=2026-08-07T04:21:06.871380Z digest=sha256:bb9b86243ad4f3ab739ce50f4a333b9ee203286c3bb9b314012f78f95eddead2

Observation 14d94efc-8232-40ef-a40d-a96627bdf64c · outbound

This paper cites Finite time singularities for water waves with surface tension.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Finite time singularities for water waves with surface tension

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.504814Z

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=2026-08-07T04:21:06.875558Z digest=sha256:b7c9ff745904d2d046b8e00e233dde964e0cbee7bc2c1b3cc4fbe45527244c5c

Observation 655e1d5c-1b03-43cf-aab6-8131b7fce7fd · outbound

This paper cites L., Gancedo, F., and G ´omez-Serrano, J.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions L., Gancedo, F., and G ´omez-Serrano, J

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.491175Z

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=2026-08-07T04:21:06.879525Z digest=sha256:56461a11dfd61bc4f0742cd45e4f2c45f1ff7ac96fb18ea440e4e3759eee4e58

Observation 9139c3f4-3aaa-4fd5-804d-6469c9fe036a · outbound

This paper cites Well-posedness of the free-surface incompressible euler equations with or without surface tension.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Well-posedness of the free-surface incompressible euler equations with or without surface tension

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.478078Z

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=2026-08-07T04:21:06.884587Z digest=sha256:4a6d84be528b159e862bc3cca6d2d28fc5711578ec4d256cb4af4ae32b059cfd

Observation fa419e63-415a-4d3a-bdfc-e3f2b3643afb · outbound

This paper cites On the finite-time splash and splat singularities for the 3-d free-surface euler equations.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions On the finite-time splash and splat singularities for the 3-d free-surface euler equations

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.464196Z

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=2026-08-07T04:21:06.889666Z digest=sha256:fc1b9b3bc9ae2a7f46475689c392bfbd7e088837a24950d3a973699ad9d0789f

Observation 33a8ce2d-8fde-40dc-8a57-1b3759b8d31a · outbound

This paper cites D., Pausader, B., and Pusateri, F.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions D., Pausader, B., and Pusateri, F

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.450905Z

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=2026-08-07T04:21:06.894060Z digest=sha256:2994d1a72fec866178b9532d7c8afbee67e64c3d03c48d4b0d7fc9de876e41fd

Observation ba0edf6b-bd1b-4c3a-a3d7-5c1b22f43f0c · outbound

This paper cites an unresolved cited work.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T04:21:07.436739Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T04:21:06.898062Z digest=sha256:97d12e5d2178be14bd63cf30d57268427f96dcdb717578b3fda4ac8df4e95012

Observation 2377990e-108e-4338-b52b-ec61d82cdfec · outbound

This paper cites Regularity Theory for Elliptic PDE.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Regularity Theory for Elliptic PDE

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.423116Z

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=2026-08-07T04:21:06.902034Z digest=sha256:53fdee48642c4ec149f400d546ecc224320a80f30d4aae0ce134552c46a6659a

Observation 54c1c09d-caa0-47ea-863f-61b8a61e4d48 · outbound

This paper cites Classification of finite-time blow-up mechanisms for the incompressible free-boundary Euler equations with surface tension.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Classification of finite-time blow-up mechanisms for the incompressible free-boundary Euler equations with surface tension

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-07T04:21:06.906374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:21:06.906374Z digest=sha256:95bad83e3e2a463736655a32a35f6f5e4fcebfbd2a29af84aa1aaf5b4878e437

Observation 13962d71-5107-4828-9a4f-6cb23474f5c5 · outbound

This paper cites Small scale creation for 2d free boundary euler equations with surface tension.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Small scale creation for 2d free boundary euler equations with surface tension

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.409557Z

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=2026-08-07T04:21:06.911006Z digest=sha256:b4770a6265f77a8ad16f70e3a1a16cbcc609600e8637e68b1fbd25b2fa330ffd

Observation ee3bd7a7-6f39-40b2-9ceb-69956b8c7241 · outbound

This paper cites The lifespan of small data solutions in two dimensional capillary water waves.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions The lifespan of small data solutions in two dimensional capillary water waves

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.395573Z

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=2026-08-07T04:21:06.915242Z digest=sha256:03e36cb691f30b1de3abd7517f26ed48026a633d56b3e5bc9abc13691ab8074e

Observation 7e51edc6-9e23-42e1-8a0e-8cb1ca1e9a7f · outbound

This paper cites Global regularity for 2D water waves with surface tension , vol.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Global regularity for 2D water waves with surface tension , vol

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.381582Z

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=2026-08-07T04:21:06.919539Z digest=sha256:20a97f98878a9eed01a3ae2f52d88c8eb7402d7a789a9e7499a38d0607d344a4

Observation 712495da-5ffe-4b9e-b83c-306255b71b3d · outbound

This paper cites Small scale creation for solutions of the incompressible two- dimensional euler equation.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Small scale creation for solutions of the incompressible two- dimensional euler equation

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.366853Z

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=2026-08-07T04:21:06.923615Z digest=sha256:864a6e988ddd6ceb171caf9ef976fb74c5507511da211f71acf8acf4d5355361

Observation d8d17cb6-b4b1-40a3-b44a-5fdcc4b5b97b · outbound

This paper cites Two-dimensional capillary liquid drop: Craig-Sulem formulation on $\mathbb{T}^1$ and bifurcations from multiple eigenvalues of rotating waves.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Two-dimensional capillary liquid drop: Craig-Sulem formulation on $\mathbb{T}^1$ and bifurcations from multiple eigenvalues of rotating waves

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T04:21:06.928058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T04:21:06.928058Z digest=sha256:4c594802f3fbefd0630fbb14d656502c3161518ed861a48c25a99d69331dde4e

Observation 970f40fa-569f-44e8-a200-3409cfbde490 · outbound

This paper cites Global Bifurcation of Steady Surface Capillary Waves on a $2D$ Droplet.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Global Bifurcation of Steady Surface Capillary Waves on a $2D$ Droplet

Reference 21

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:21:07.100187Z

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=2026-08-07T04:21:06.933165Z digest=sha256:0cd50ed215af3a2f8953e5c1c33e569bcd03e2c59aeb64522b842f0f199dbd71

Observation 73de7ccf-baf7-4461-8344-aa7006f00619 · outbound

This paper cites Bonnesen-style isoperimetric inequalities.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Bonnesen-style isoperimetric inequalities

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.352951Z

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=2026-08-07T04:21:06.938018Z digest=sha256:23ad3bec0942eab9cdaebf8bf2886834add94726bcba2a9063aa943f34d718c4

Observation 16cbe15b-91cf-4ee4-8479-19d5ede48d73 · outbound

This paper cites Longtime Dynamics of Irrotational Spherical Water Drops: Initial Notes.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Longtime Dynamics of Irrotational Spherical Water Drops: Initial Notes

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:21:07.080201Z

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=2026-08-07T04:21:06.942299Z digest=sha256:8a19232e52466a4e3dda91bd29dcb4aee48c8d48629e808ee873537d2c3d0d05

Observation 5bdaffa8-e11d-4ef6-b05b-b665849feac3 · outbound

This paper cites On the Cauchy Problem of Spherical Capillary Water Waves.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions On the Cauchy Problem of Spherical Capillary Water Waves

Reference 24

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:21:07.059986Z

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=2026-08-07T04:21:06.947128Z digest=sha256:5324980c390bd299e38a5709e3fede136fa6728fe493049655ac488b7e168f38

Observation 11fd7dae-515d-4af6-8e57-93da35e66357 · outbound

This paper cites Para-differential Calculus on Compact Lie Groups and Spherical Capillary Water Waves.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Para-differential Calculus on Compact Lie Groups and Spherical Capillary Water Waves

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:21:07.040265Z

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=2026-08-07T04:21:06.951728Z digest=sha256:efc6e1e94df752ed4da297b034cb732f071fd609ee58a375848114c323584035

Observation 15cb163c-7d43-4720-95f4-f11c59849b77 · outbound

This paper cites Toolbox of Para-differential Calculus on Compact Lie Groups.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Toolbox of Para-differential Calculus on Compact Lie Groups

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-07T04:21:07.019607Z

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=2026-08-07T04:21:06.956387Z digest=sha256:16e58ecac666a28ea47eae117a091045e71492fc517d89daea2e799c9511ef7a

Observation 41d3dd18-c76b-4816-8780-acab072f9ca7 · outbound

This paper cites Geometry and a priori estimates for free boundary problems of the euler’s equation.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Geometry and a priori estimates for free boundary problems of the euler’s equation

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.338081Z

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=2026-08-07T04:21:06.960878Z digest=sha256:acae7e7ab823b4ba501f81cf9fad6ee9a9b0041f6f1c674b14f25ec4f9d0e7e1

Observation 7aa971f3-493e-4b3c-89d9-d44e1f14a179 · outbound

This paper cites A priori estimates for fluid interface problems.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions A priori estimates for fluid interface problems

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.322386Z

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=2026-08-07T04:21:06.965297Z digest=sha256:2a77ad5a0064184c61950be69d0fb6dfe757a624931af4e8f67627aedc2c5a3d

Observation 517f6439-44e4-4d40-90f5-0090662b9a36 · outbound

This paper cites Local well-posedness for fluid interface problems.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Local well-posedness for fluid interface problems

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.307831Z

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=2026-08-07T04:21:06.969466Z digest=sha256:c5e572ea5b3bc563b65d9fb860a65c82f4c41c7a407811c09a9024cb5a2829fb

Observation d114e6f2-d4a9-4513-80d6-886fd3c6b678 · outbound

This paper cites A., and Brown, R.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions A., and Brown, R

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.292858Z

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=2026-08-07T04:21:06.973592Z digest=sha256:f503100da00ff389bcc2dd3b894cff03166f25dc2780e919723456b4bb2736f8

Observation 0c966806-a391-452e-844f-a1d19b95c21c · outbound

This paper cites Exponential growth of the vorticity gradient for the euler equation on the torus.

Exponential Vorticity Hessian Growth in Capillary Liquid Drop in Two Dimensions Exponential growth of the vorticity gradient for the euler equation on the torus

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T04:21:07.276921Z

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=2026-08-07T04:21:06.977963Z digest=sha256:aa097b650f883f69b53df9df8873321caf728c4a990085bd2738736b399b73e8

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