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Paper Citation Record · LEDGER

On the stability of large-amplitude gravity-capillary surface waves

As of 22 July 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2604.23762.

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

pith.paper-citation-record.v1
2604.23762 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-08T05:37:27.170286Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-22T06:31:00.163083+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-08T05:37:27.170286Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-05-11T21:26:16.260382Z

Reference resolution

16 of 16 outbound references displayed

  • verified exact2
  • verified fuzzy13
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 03216d03-d952-408f-94ea-77f98834d581 · outbound

This paper cites On the stability of large-amplitude gravity-capillary surface waves.

On the stability of large-amplitude gravity-capillary surface waves On the stability of large-amplitude gravity-capillary surface waves

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-05-11T21:26:16.268479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:07bf7161dd49a6771970473837f06efac1ee0d1a820117796cd903302a21d439

Observation a4fd101e-a53b-4981-a9c6-4944758e3dbf · outbound

This paper cites The method used to study tempo- ral stability of the travelling wave solutions is described in section 2 3.

On the stability of large-amplitude gravity-capillary surface waves The method used to study tempo- ral stability of the travelling wave solutions is described in section 2 3

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.588229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:2eae7e0fc0e1ea10dd2cf4d4b4bf2611587010280cba2d6d6ba81bf98798388f

Observation 87d888e6-ebac-461f-b1c0-e52578ac9bc1 · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.591990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:4cd4a01bf988857578e73f13d3d50001a943e6a14262431def289f171496577a

Observation 19399ab4-7c3e-4dd6-80df-592ce971cb11 · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.573309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:5b6686a6007c7a2340d2a829407052d0c5dc33c2042054ba152871c555cc834c

Observation cf7f53c0-edcf-43f8-bf93-3610625186f6 · outbound

This paper cites The stability of these with respect to subharmonic perturbations is the focus of this work.

On the stability of large-amplitude gravity-capillary surface waves The stability of these with respect to subharmonic perturbations is the focus of this work

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.577962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:e58abd0cae8bbb69af0259afbd14d3e058fd5e3338b45bc61029c09911c42ae2

Observation c0de508e-6057-4112-b3ff-395694f0cb4b · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.581462Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:b36a4040044fbc40cb1f64aab762e2590fa5c182a76aed58d7353f087fb20d24

Observation 2bf8da05-c6fe-40c9-8814-64bb9728bafb · outbound

This paper cites The solution space for steadily travelling gravity waves is shown in figure 1.

On the stability of large-amplitude gravity-capillary surface waves The solution space for steadily travelling gravity waves is shown in figure 1

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.569647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:d355a74e1c98633ddf11d2800540addd54a9aee0fd26dd10bed97673b90ff15f

Observation f73c9118-ba38-4cf0-853b-74d56c062f65 · outbound

This paper cites Firstly, in section 4 1 we use weakly-nonlinear theory to analytically derive the stability of long-wave perturbations to small-amplitude solutions.

On the stability of large-amplitude gravity-capillary surface waves Firstly, in section 4 1 we use weakly-nonlinear theory to analytically derive the stability of long-wave perturbations to small-amplitude solutions

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.565579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:b530a0335780989f921aa3181515aa10f7249caaf9653537621b1abf77616b98

Observation 865a8788-3dd0-4f13-985a-097092255275 · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.584662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:92e4ba519d0b538439ddb6ef8f150598a59d5fd42cbe6b0d18c82c3d6d01d702

Observation 4a9e9cf1-2b7f-43d0-b7cc-a6e637e1651f · outbound

This paper cites These solutions satisfy the boundary- integral system, consisting of the integral equation (4c) and the nonlinear differential equa- tion (6).

On the stability of large-amplitude gravity-capillary surface waves These solutions satisfy the boundary- integral system, consisting of the integral equation (4c) and the nonlinear differential equa- tion (6)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.597069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:8e487e89956f9b2f7b77e97b0557e7a7201243722b54945f3b4ef273cbd0ce6a

Observation 16c40b2e-fc58-4642-83a8-7370244736e7 · outbound

This paper cites These solutions contained the effects of both gravity and surface tension, and were calculated at a fixed value of the energy (5).

On the stability of large-amplitude gravity-capillary surface waves These solutions contained the effects of both gravity and surface tension, and were calculated at a fixed value of the energy (5)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.553835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:6e4fd469a1b6b1d5ac23c23df55770421b988c3e3b47034f6d0989f6e8bb1911

Observation cffc24b5-86fa-4f0a-ae5f-b604b7403686 · outbound

This paper cites It is now investigated how these transitions occur along each solution branch.

On the stability of large-amplitude gravity-capillary surface waves It is now investigated how these transitions occur along each solution branch

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-05-11T21:26:16.254873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:00a7febfd07d4eadecd0ee9f9a9a9b33066cdc8bc6c2af43bf9fcd6c82814d9e

Observation 5a8cbe57-e47e-405b-b981-218a31d57e42 · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.545469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:c7752af085e8567b88de7ec8e34714abdae13fdcb3214e3f9908a7e02bc4137f

Observation ba54477a-f637-4630-9073-4739d2fce03c · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.548795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:27017b489d9cb50e05219735779e478e9a3c0c65557b5e7badb28659dc9d08f3

Observation f1a50edd-db70-4484-8dd7-738a88e4e161 · outbound

This paper cites an unresolved cited work.

On the stability of large-amplitude gravity-capillary surface waves Unresolved cited work

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-26T19:38:17.561176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:e47b5cbcec5cb5ef21caac6e809c162d76131d5d4993d2a583f3ce4879e65e6c

Observation c4c325f0-25e0-48ea-9609-757fffdf675a · outbound

This paper cites Stable and unstable capillary-gravity waves.

On the stability of large-amplitude gravity-capillary surface waves Stable and unstable capillary-gravity waves

Reference 16

Resolution
verified exact
arxiv_id, observed 2026-05-13T01:45:47.142035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:9fb82c2cae4eaa026c08beca732bf1b2f60ce41c3b5a16badfac9a514d91ddd6

Pith citing papers

Observation 03216d03-d952-408f-94ea-77f98834d581 · inbound

On the stability of large-amplitude gravity-capillary surface waves cites this paper.

On the stability of large-amplitude gravity-capillary surface waves On the stability of large-amplitude gravity-capillary surface waves

Reference 1

Resolution
metadata mismatch
local_arxiv, observed 2026-05-11T21:26:16.268479Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-22T06:31:00.163083+00:00.

source=pdf_text observed=2026-05-08T05:37:27.170286Z digest=sha256:07bf7161dd49a6771970473837f06efac1ee0d1a820117796cd903302a21d439