Paper Citation Record · LEDGER

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation

As of 14 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2607.01348.

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

pith.paper-citation-record.v1
2607.01348 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-03T01:18:37.370407Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T01:39:03.302341Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact2
verified fuzzy10
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4b9880a9-e907-430d-b006-b41e458a042c · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.528798Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 21c4a6d0-9883-4c2b-ba0b-d564af98163b · outbound

This paper cites Cambridge Texts in Applied Mathematics (No.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Cambridge Texts in Applied Mathematics (No

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.561630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ec11766a-56fe-475b-ad4c-b35c332c2e2a · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.533680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 20768615-0f41-483e-8370-65d2c67483b5 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.535357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9c31f566-9396-4993-999f-5a1d2242ff5d · outbound

This paper cites Nonlinear Process.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Nonlinear Process

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.530936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8e6da4c0-003a-40e1-8ec2-a6b73de84505 · outbound

This paper cites Nonlinearity 31:1955-1980 (2018).

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Nonlinearity 31:1955-1980 (2018)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:21:17.205171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e9176135-f092-4b0e-8408-0aefc703f32f · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:21:17.195237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cf41ca5c-b416-4575-9db2-745fac46303e · outbound

This paper cites 79, Cambridge University Press, Cambridge (2003).

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation 79, Cambridge University Press, Cambridge (2003)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:21:17.197396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 025d8c2d-f4b3-4f2e-8027-979f9d738e31 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:21:17.207085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation fad2fa99-c6dc-42d5-a62b-592e964da998 · outbound

This paper cites Physica D 333:11-65 (2016).

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Physica D 333:11-65 (2016)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.565149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 4740de2e-9682-4d9a-855a-d92990186a00 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.525671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b4bd9bc1-b16e-4e01-b723-98b6291f085b · outbound

This paper cites Periodic problem for the nonlinear Schroedinger equation.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Periodic problem for the nonlinear Schroedinger equation

Reference 13

Resolution: metadata mismatch; local_arxiv, observed 2026-07-03T01:27:30.481266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 17e1a373-af01-4ef7-b2d1-0bd8f20fdcee · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:21:17.193377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7242b1fd-7d43-49bc-b6d3-73e8eebbc4e8 · outbound

This paper cites Nonlinearity 32:1929-1966 (2019).

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Nonlinearity 32:1929-1966 (2019)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:21:17.189532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1cabf790-1b4a-4330-a3d6-dde4d85b2b53 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:21:17.191550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8c6c3544-1109-4220-8790-177da46bf5a8 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:21:17.187482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 38b785d8-a22f-49d4-90ff-e1cf6944b236 · outbound

This paper cites Maximum amplitudes of finite-gap solutions for the focusing Nonlinear Schr\"odinger Equation.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Maximum amplitudes of finite-gap solutions for the focusing Nonlinear Schr\"odinger Equation

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-07-03T01:27:30.474586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 0ea0dd59-d105-4f7f-840f-ecd1494ba363 · outbound

This paper cites and Weinstein, G.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation and Weinstein, G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:21:17.185313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7240e928-b5db-4054-b8ea-529b4b0d1720 · outbound

This paper cites Exact quasi-periodic solutions to the MKdV equation.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Exact quasi-periodic solutions to the MKdV equation

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-03T01:27:30.477714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b03e4a29-d102-486b-89af-615a3a59460b · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.538001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e61044f9-2911-497b-be06-1ea08e15f168 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.557829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 48ab0d80-de71-4cd9-9c96-af7be2abd51b · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.540251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7312b523-b298-423a-bf13-effe456c1400 · outbound

This paper cites V.: Lie algebras and equations of Korteweg– de Vries type.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation V.: Lie algebras and equations of Korteweg– de Vries type

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.549745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation eb0dcf5a-cc61-404d-9674-ce955b9ce5a0 · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.552579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 125ba15c-9cde-433f-878c-136174f290a9 · outbound

This paper cites 26), World Scientific, Singapore, 2003.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation 26), World Scientific, Singapore, 2003

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.555203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d5847c00-03c7-4647-8c65-d9a70d5f575f · outbound

This paper cites J., Newell, A.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation J., Newell, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-07-05T16:31:16.545933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7fe2f717-b027-4435-8081-24cadab6002b · outbound

This paper cites an unresolved cited work.

Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-05T16:31:16.542656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation f0ce7e1d-a683-4d82-8b78-a02cdbcbe0a8 · inbound

Maximal Densities of Finite-Gap Solutions of the Sine-Gordon Equation cites this paper.

Maximal Densities of Finite-Gap Solutions of the Sine-Gordon Equation Sharp Upper Bound for Amplitudes of Finite-Gap Solutions of the Modified Korteweg-de Vries Equation

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-12T01:39:03.302341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.