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Paper Citation Record · LEDGER

Nearly parallel helical vortex filaments in the three dimensional Euler equations

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2502.01470.

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

pith.paper-citation-record.v1
2502.01470 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:25:57.183003Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

37 of 37 outbound references displayed

  • verified exact2
  • verified fuzzy25
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2ea5d280-f754-4f59-a525-cd916fa17bbd · outbound

This paper cites Banica, and E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Banica, and E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.216004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.915701Z digest=sha256:deeecb6f3ce6c590a250633ad6cab6f00734b9e6cf309ae18897a38035ece51f

Observation ae3474d0-07d0-424d-a2b0-0b81d2f44433 · outbound

This paper cites Banica, E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Banica, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.208392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.928853Z digest=sha256:532c1357d80805b1aaa6cae22390c110ac38d7ff4b3601f21df708115334a5a3

Observation 1f2eeeee-ce31-42d7-8e94-ab37290cb3ce · outbound

This paper cites Baraket, and F.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Baraket, and F

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.200347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.931005Z digest=sha256:53f8cf819e468764de9f575906e8ffa99ac807709d3ce53f79caedfa65317dbd

Observation 38c4b81b-37e6-4209-9c97-d4c095efe50e · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:58.192631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.933209Z digest=sha256:cfd9e5f8780164cb916ff875f2c063754a4e3920a806df79c9553a8726a6ff53

Observation 6e37368e-faef-4ca9-94d6-07fdb7eb403b · outbound

This paper cites Benedetto, E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Benedetto, E

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.184917Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.936358Z digest=sha256:8c06538a5ead32fea3352d538c491b638a495177b96f57f8c35c30312eba3d97

Observation ba364243-af3e-4df0-a6b0-9bc8173a6480 · outbound

This paper cites Donati, C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Donati, C

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.177105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.942902Z digest=sha256:1b3d6138de30f502ba87470217d37260abb57fc04acd3d2425d453f48818d542

Observation 8a9ba48e-25f9-4005-9daf-0df3b16b81bc · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:58.169297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.948042Z digest=sha256:c0d6ae157f6254717f4cbe3fb7da1e67db8570a83f295dfe7467351aed7de9b3

Observation 24033f78-010c-4996-bc27-766e5c5485ec · outbound

This paper cites Cao, and J.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Cao, and J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.161693Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.950466Z digest=sha256:4be0fcfbccd57c5a699bcb7968011a6ab2076b22fb7ecaacf9a026c8f7a2720c

Observation 52aedc81-1972-4416-97b6-00718faaf191 · outbound

This paper cites Cao, and S.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Cao, and S

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.155217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.952402Z digest=sha256:262274d0573e37d6624dbd8d1215bf21992f895a9aea152645f2c6844cf0bb65

Observation ffb8cb12-da30-4df3-a693-d0362eb671f0 · outbound

This paper cites Chiron, Vortex helices for the Gross-Pitaevskii equa tion.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Chiron, Vortex helices for the Gross-Pitaevskii equa tion

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:58.084323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.954384Z digest=sha256:068f2e23f6dc9cfa59c2541855db0b3512f5aa19118c653b02cd6161cb812834

Observation 6a383ed1-4100-4bf9-85c0-df7b9bcac5cb · outbound

This paper cites Contreras and R.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Contreras and R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.929055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.956409Z digest=sha256:7e5f48e79a13c6f66e0773fea831d4cdfe5272073c243230b9d272b436266188

Observation aba64c70-207d-4c33-b6bb-08450b9fdf62 · outbound

This paper cites Craig, C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Craig, C

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.883657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.958448Z digest=sha256:65cc87421e5ace7c830b1822e18c3d42558d40da9b7ff2e6e7e534f36e66f9c5

Observation 21e16513-815d-45bd-b3f3-82bd1ce1c657 · outbound

This paper cites Craig, and C.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Craig, and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.876401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.960498Z digest=sha256:c882b044b93f108ea88dda9baa5c578e76c83b7d1c2d3eaf80a046aa1198d3b6

Observation a85f14f2-0671-4419-8902-4e30e31e2063 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.868867Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.962419Z digest=sha256:b75d343ce4bb3b2e38e6e9c30a68a231e608e20589531926ea25765f69762246

Observation 926c922e-553e-4224-b57a-5425cb9fcb19 · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.861538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.964364Z digest=sha256:28fb43a708ac9b2974ce79b84f1afe7c06aeeba83bf89d1e60e1d96bb4b91172

Observation 5373d05d-e0ec-4272-9994-1cf50691bd52 · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.854073Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.966336Z digest=sha256:31c0d5af6c9203d481b3e5f51213638a08cb449679b19aa9a99aa5785fc2b16f

Observation 05c4f13d-1ed9-487a-8c13-c8a7a198b78b · outbound

This paper cites D´ avila, M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations D´ avila, M

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.846543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.968506Z digest=sha256:e157e7c97752e337c0a972ca9b6535b79a49f11728153b51bfbc3878ffa689ce

Observation d704e12c-94da-44e4-a076-b96676b40c89 · outbound

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

Nearly parallel helical vortex filaments in the three dimensional Euler equations Dutrifoy, Existence globale en temps de solutions h´ elico ¨ ıdales des ´ equations d’Euler.C

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.839853Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.970383Z digest=sha256:794a9cce7bb5e35ad9f269804b102b8cd48a0aaf51072228a1ee0cddf84c4b57

Observation aa46c797-235d-47cd-932c-103be2f7b260 · outbound

This paper cites Ettinger and E.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Ettinger and E

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.819487Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.972235Z digest=sha256:ddd551280d6339ff00e07600c9181fc7d0e51b6f44f9ce19e7a0f0a547f3e071

Observation 3b6c233f-6054-468a-835d-d89bf01cc215 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.773588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.974243Z digest=sha256:0e7824bf27a910bdb7910997fb5c45312a79318f84b466b5d0fcad70910050b9

Observation 1cb960ff-776b-45eb-8865-36fbe8f332b1 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.645556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.976287Z digest=sha256:8ddcafb6171206392867da44cfd991a9b0a2bd324d88cc8e9995298477794719

Observation 4a2f1a09-f4bc-42d3-a38b-ab44a3de15ad · outbound

This paper cites Guerra, and M.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Guerra, and M

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.626018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.978483Z digest=sha256:a4f61949eda39830a16fb8cb08f1d5854ee688ebaca92e9adcb266dcb47979b6

Observation aa132494-56b6-44e2-8d35-a1afb03e4650 · outbound

This paper cites Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Global well-posedness of weak solutions to the incompressible Euler equations with helical symmetry in $\mathbb{R}^3$

Reference 23

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:25:57.223943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.980349Z digest=sha256:45dbcc608650797079520f80f801efcc3fb3f702d7c2f5181f648f6dca6f3c03

Observation eaba7224-cf00-43c8-8e0f-ffe73c475db6 · outbound

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

Nearly parallel helical vortex filaments in the three dimensional Euler equations Long time dynamics for helical vortex filament in Euler flows

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-09T15:25:56.982863Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T15:25:56.982863Z digest=sha256:c6f1b7ee35e3faed789240d6726086de89851e303316a5a594d66a50db7c10fe

Observation 36a17d19-ae31-4e03-b43d-9e821a20d9f7 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.619348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.985688Z digest=sha256:fef6fa1bf836cbb749cbc97e356027d8af2c6e7631af902a71140e90e4b504b8

Observation 489be4fe-9f49-451c-ad0e-007c89a44484 · outbound

This paper cites Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Dynamics of nearly parallel vortex filaments for the Gross-Pitaevskii equation

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:25:57.207099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.987892Z digest=sha256:4e5c55b326c11e64b2bd72ab718e2108fc2cdc5ded0d3cd88aa7d21a84166b37

Observation f2675e5f-0ef2-4d63-82c0-2153c897fcef · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.611753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.990281Z digest=sha256:91ca34fc62730ad1e2c5d58a8814aad4ae2afca8b52661770e817932ee78187e

Observation 37707004-fdd7-4c2e-b544-8a22068a0936 · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.604145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:56.992861Z digest=sha256:6abfe2e46a676694973e3202b845c02e6e42d82c00fc256e11e330be75cc0944

Observation 35644438-d818-43ba-aa78-7bb256962875 · outbound

This paper cites Kenig, G.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Kenig, G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.595533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.000154Z digest=sha256:04529db474131ebf7d1fa5cab6c2dff4fc318611f4ec687ef332fa0e54d0189e

Observation 36cfebe0-5849-4a65-b680-9571dd650cea · outbound

This paper cites Klein, A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Klein, A

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.587248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.028671Z digest=sha256:2563738d5816a14fd15bdc8d4ae434438f8815ab8687578cdc209015ac82c3e4

Observation 140a9221-5f31-4505-9469-a59f2cf2a4e3 · outbound

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

Nearly parallel helical vortex filaments in the three dimensional Euler equations Levi-Civita, Sull’attrazione esercitata da una lin ea materiale in punti prossimi alla linea stessa

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.579330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.043960Z digest=sha256:10ad7077470f06f22e2fef29c261d9e75be578beb9635f2628b08846e8dfafd0

Observation 5355163a-66b5-426f-b8c9-b260a0f4a031 · outbound

This paper cites Lions, and A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Lions, and A

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.503854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.069881Z digest=sha256:b66858ef81f22ea28c16f9e812dbf80978d42ab2fe6df55a65431544df7dbb64

Observation 242cbedc-7143-4193-b9c1-a572e04beede · outbound

This paper cites Majda, A.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Majda, A

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.337432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.084637Z digest=sha256:38a041eb053d5426e921bcd643a6a0c534ad70cbb684bb44c259bac83938461f

Observation 69897ac4-47e7-4b52-bc7d-9b11620f135b · outbound

This paper cites Norbury, A steady vortex ring close to Hill’s spheric al vortex.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Norbury, A steady vortex ring close to Hill’s spheric al vortex

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.254297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.114172Z digest=sha256:49d152b62fb13d5b900df6c276bb005bc996c6201068f0d8c7989d9afb8382ec

Observation b0b12e8c-5ce2-4f10-b155-da62c638488a · outbound

This paper cites an unresolved cited work.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-09T15:25:57.246203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.141939Z digest=sha256:b1e8f78eb1edb321fabd60ba56004d461885bd2f26b191bb7b9d25607b952aa4

Observation 4a64c394-a400-483e-a7bc-486ee14eab10 · outbound

This paper cites Velasco Fuentes, Motion of a helical vortex.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Velasco Fuentes, Motion of a helical vortex

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.238956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.169474Z digest=sha256:8054320bae21120697bb3bcd6f2f6867df6f0dcb121bf059672018275324f9b4

Observation f9cf0230-53b3-4a1f-8afb-f72c054037b3 · outbound

This paper cites Wei and J.

Nearly parallel helical vortex filaments in the three dimensional Euler equations Wei and J

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T15:25:57.231639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-09T15:25:57.183003Z digest=sha256:ac76f84182a999cfbcba53621301465b388c6e2744863b77196cd0bf6cd046e4

Pith citing papers

No inbound Pith citation observations are available.