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Paper Citation Record · LEDGER

An existence theory for small-amplitude doubly periodic water waves with vorticity

As of 16 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:1908.02655.

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

pith.paper-citation-record.v1
1908.02655 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:50:38.557611Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

35 of 35 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved14
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3dff9bdb-07e7-4ac1-a4bb-df57b7e2daf6 · outbound

This paper cites , Va r h o l m, K.: Traveling gravity water waves with critical layers.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Va r h o l m, K.: Traveling gravity water waves with critical layers

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 2026-08-16T06:30:59.297886+00:00.

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Observation 46997304-25b4-497d-89c2-6837f5e8c032 · outbound

This paper cites ,Douglis,A.

An existence theory for small-amplitude doubly periodic water waves with vorticity ,Douglis,A

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.527767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 6f383e99-1812-47b4-b444-d0d4b81a7537 · outbound

This paper cites , Chemin,J.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Chemin,J

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.497994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 61d47665-f19e-4a59-b45c-016e5cd6ae03 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.473727Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 5c841618-a14f-478a-be3a-c72c462c1799 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.440296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e684a302-97e1-4fff-9a65-e0e102fc97dc · outbound

This paper cites ,Groves, M.D., Sun, S.M., Wahlén, E.: Existence and conditional ener- getic stability of three-dimensional fully localised solitary gravity-capillary water waves.

An existence theory for small-amplitude doubly periodic water waves with vorticity ,Groves, M.D., Sun, S.M., Wahlén, E.: Existence and conditional ener- getic stability of three-dimensional fully localised solitary gravity-capillary water waves

Reference 6

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation cddec582-69b9-43a5-89bc-33e354f0fcce · outbound

This paper cites ,Groves, M.D., Wahlén, E.: A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension.

An existence theory for small-amplitude doubly periodic water waves with vorticity ,Groves, M.D., Wahlén, E.: A variational reduction and the existence of a fully localised solitary wave for the three-dimensional water-wave problem with weak surface tension

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.386885Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.314296Z digest=sha256:8ba9fe426417f4632242d73a6abf34e1633b61a065651a49ef4a9c095a365156

Observation f6d2fae1-57f4-46d6-8234-8e21cf240266 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.366324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c5a3d92e-55a2-4845-ae38-7109124c952e · outbound

This paper cites :Nonlinear water waves with applications to wave-current interactions and tsunamis, vol.

An existence theory for small-amplitude doubly periodic water waves with vorticity :Nonlinear water waves with applications to wave-current interactions and tsunamis, vol

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.334793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 274416bb-d8a3-45cf-8463-27cfc51268c9 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.311450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2089f855-f8ce-48c3-96ab-c33f54fba6a1 · outbound

This paper cites , Escher,J.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Escher,J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.286101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.343915Z digest=sha256:e262feee011408594219a11e588a7bcd85ae44d1b7b7772f2f85f8fbc731bba6

Observation f1a51de8-05d3-4ca6-9d80-6352302d91a8 · outbound

This paper cites , Escher,J.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Escher,J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.259652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation e9326c59-d356-4870-924c-f79c701cf1d1 · outbound

This paper cites ,Wahlén, E.: Trimodal steady water waves.Arch.

An existence theory for small-amplitude doubly periodic water waves with vorticity ,Wahlén, E.: Trimodal steady water waves.Arch

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 808c42b4-63f6-49ac-9b9c-b7403fb128e1 · outbound

This paper cites , Peralta-Salas, D.: Beltrami fields with a nonconstant proportionality factor are rare.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Peralta-Salas, D.: Beltrami fields with a nonconstant proportionality factor are rare

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.214024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ec092524-0ad5-4af8-ac59-e70f704a89b4 · outbound

This paper cites Cambridge University Press, Cambridge 2014.

An existence theory for small-amplitude doubly periodic water waves with vorticity Cambridge University Press, Cambridge 2014

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.183700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 34ccf3b2-79c2-417b-a4ec-ca7c5c207d53 · outbound

This paper cites GAMM- Mitt.

An existence theory for small-amplitude doubly periodic water waves with vorticity GAMM- Mitt

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:39.162878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation b7c136de-3906-4178-bb31-88a4fb41177e · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.137087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f9e009a5-eda0-493f-957f-a6982abb1633 · outbound

This paper cites , Sun, S.M.: A dimension-breaking phenomenon in the theory of steady gravity-capillary water waves.R.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Sun, S.M.: A dimension-breaking phenomenon in the theory of steady gravity-capillary water waves.R

Reference 19

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 65d0e1a4-8cd6-49f4-a154-9de10b720516 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.086861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation d62865f6-1678-4133-866c-fa52e802dc6a · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.055453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ecaf9f23-7585-4cac-bd15-d5307f4e72d4 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.028773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 457beaaa-3ea1-4b1a-9260-061023d28c61 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:39.004097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c9abb344-81b9-43af-86fe-12d137d3143c · outbound

This paper cites , Plotnikov, P .: Asymmetrical three-dimensional travelling gravity waves.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Plotnikov, P .: Asymmetrical three-dimensional travelling gravity waves

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.980081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9af41eba-34ee-4dd5-906c-6c89457f0071 · outbound

This paper cites , Plotnikov, P .I.: Small divisor problem in the theory of three-dimensional water gravity waves.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Plotnikov, P .I.: Small divisor problem in the theory of three-dimensional water gravity waves

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.955705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4237eedb-bebc-4a1d-b46e-de8955e4c4fd · outbound

This paper cites , Neudert,M.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Neudert,M

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.933580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation faf3e7aa-86e2-4b1e-8fd2-4dffa0ea36b1 · outbound

This paper cites , Wahlén, E.: A variational principle for three-dimensional water waves over Beltrami flows.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Wahlén, E.: A variational principle for three-dimensional water waves over Beltrami flows

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.900467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.489962Z digest=sha256:cc5227825777bb9d6f43be90ef88300ce3edc371a3869783353ca899e0b6472c

Observation 3dbbb6ec-b39e-434c-a963-306001675f6d · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:38.862759Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 134c57fb-1fd9-4f31-9664-23ed4c709332 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:38.826531Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation a731ea41-2ee6-430c-8e1f-b7a7dc240312 · outbound

This paper cites :Magnetohydrodynamics of the Sun.

An existence theory for small-amplitude doubly periodic water waves with vorticity :Magnetohydrodynamics of the Sun

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.796723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation f8501394-fec2-4d2b-a434-23f052951bec · outbound

This paper cites , Shinbrot, M.: Three-dimensional, nonlinear wave interaction in water of constant depth.

An existence theory for small-amplitude doubly periodic water waves with vorticity , Shinbrot, M.: Three-dimensional, nonlinear wave interaction in water of constant depth

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.772371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.525009Z digest=sha256:cd4fae039c44eef260bbb231dc578dd370fe708f3c1a2c8fe9b83d8f33866852

Observation d0a35fb3-8c22-4828-b0ec-d46b675fe9f9 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 32

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:38.743649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.531213Z digest=sha256:b785b95a0d198f1e04ca15c2a489ab09e2f7e919b44cf853951426bbaabb4697

Observation e77f2f2d-2828-410c-a668-7bfa253c36a8 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:38.700399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 535c3b41-6716-4d88-987e-94903b170a14 · outbound

This paper cites an unresolved cited work.

An existence theory for small-amplitude doubly periodic water waves with vorticity Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:50:38.662541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 1dee8e90-9dad-41f1-aacc-6d663cf23dc3 · outbound

This paper cites Discrete Contin.

An existence theory for small-amplitude doubly periodic water waves with vorticity Discrete Contin

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.634050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.551822Z digest=sha256:5ffc5ada1902155effc3b5f0587873e044937dcfd64b3cbf91698ddd72516083

Observation 7c3a099d-ec52-4b94-b036-33da337abc33 · outbound

This paper cites Discrete Contin.

An existence theory for small-amplitude doubly periodic water waves with vorticity Discrete Contin

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:50:38.610201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T14:50:38.557611Z digest=sha256:c060351d11cfbb41e950f6f7ee89c3a037498405a26c0121bda4b853671c0091

Pith citing papers

No inbound Pith citation observations are available.