Paper Citation Record · LEDGER

Exact quasi-periodic solutions to the MKdV equation

As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 3 inbound Pith citation observations for arXiv:2507.23469.

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

pith.paper-citation-record.v1
2507.23469 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:50:43.968315Z

measured 35 of 35 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:09:18.407211Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T01:27:30.475910Z

Reference resolution

32 of 32 outbound references displayed

verified exact0
verified fuzzy8
unresolved24
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a72a048d-348b-460c-b681-d0fcfbb78921 · outbound

This paper cites J., Kaup D.

Exact quasi-periodic solutions to the MKdV equation J., Kaup D

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.791810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83721a4a-81de-45b8-9bea-d1717c999fef · outbound

This paper cites On a trace functional for formal pseudo-diﬀere ntial operators and the symplectic structure of the Korteweg-devries type equations.

Exact quasi-periodic solutions to the MKdV equation On a trace functional for formal pseudo-diﬀere ntial operators and the symplectic structure of the Korteweg-devries type equations

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.799246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 569b0378-2ddd-490b-8470-6d7e9c6ab062 · outbound

This paper cites Completely integrable systems, E uclidean Lie algebras, and curves.

Exact quasi-periodic solutions to the MKdV equation Completely integrable systems, E uclidean Lie algebras, and curves

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.805309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 275e2a77-da53-41a9-a491-151f375006de · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.810824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 307e8693-1b42-4ffc-99fc-e8a483175ea8 · outbound

This paper cites D., Bobenko A.

Exact quasi-periodic solutions to the MKdV equation D., Bobenko A

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.816008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54ddf4b8-caa5-4cad-a267-2e7e12d5002d · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.821312Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e76baea-330b-4d60-b5e5-dcc205048e4c · outbound

This paper cites 206 (2025).

Exact quasi-periodic solutions to the MKdV equation 206 (2025)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.492083Z

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.

Observation dedf3b69-6987-4ae0-b705-4082b1704dde · outbound

This paper cites Computation of $\wp$-functions on plane algebraic curves.

Exact quasi-periodic solutions to the MKdV equation Computation of $\wp$-functions on plane algebraic curves

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.831463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1b9b6ac-80ec-4417-95eb-5d1d5ab7c159 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.837014Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b012bc7-9a26-4a5d-b870-660800e82d4a · outbound

This paper cites On Separation of variables for Int egrable equations of soliton type, J.

Exact quasi-periodic solutions to the MKdV equation On Separation of variables for Int egrable equations of soliton type, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.841551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21feb59c-16e6-45b5-9c1e-8e2c8bf3a4a4 · outbound

This paper cites M., Enolskii V.

Exact quasi-periodic solutions to the MKdV equation M., Enolskii V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.442917Z

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.

Observation 48fd5ce4-5c33-4fdc-b64c-b99a9dc66f11 · outbound

This paper cites M., Leikin D.

Exact quasi-periodic solutions to the MKdV equation M., Leikin D

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-06T10:50:43.851286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 51b1af39-340e-46cc-9038-a2bae7aa117c · outbound

This paper cites 1955–1980.

Exact quasi-periodic solutions to the MKdV equation 1955–1980

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.410396Z

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.

Observation 9e064b5e-3460-466b-94a8-4921331114ce · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.390847Z

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.

Observation 734c7dd6-39a2-43fc-9611-30f1d67d2c70 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.372438Z

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.

Observation 943dec02-264e-45b2-8d01-6e71cdb84066 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.355099Z

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.

Observation 8c3e4884-0454-4a57-9b17-2d935e1416ae · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.338661Z

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.

Observation 75d3993f-49b8-4e0f-abf7-7ace4315ba4f · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.320366Z

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.

Observation bf1d8b71-df90-4a92-9915-73cf763a3e66 · outbound

This paper cites 18 JULIA BERNATSKA.

Exact quasi-periodic solutions to the MKdV equation 18 JULIA BERNATSKA

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.302040Z

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.

Observation e7780f5c-c39e-4180-9159-2b0ae867f96a · outbound

This paper cites 1361–1367; In Nonlinear and Turb ulent Processes in Physics: Non- linear eﬀects in plasma physics, astrophysics, and element ary particle theory.

Exact quasi-periodic solutions to the MKdV equation 1361–1367; In Nonlinear and Turb ulent Processes in Physics: Non- linear eﬀects in plasma physics, astrophysics, and element ary particle theory

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.282697Z

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.

Observation 60a4b198-f40b-4940-a1a1-06a71cc11ac0 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.263091Z

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.

Observation 6aca65a0-179f-4934-a88b-62cb07384947 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.239743Z

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.

Observation b6817e55-e8f3-42d7-a17a-89edaef8eb2f · outbound

This paper cites G., Khare A., Saxena A., Breather lattice and its stabilization for the modiﬁed Korteweg/emdash.cyrde Vries equation, Phys.

Exact quasi-periodic solutions to the MKdV equation G., Khare A., Saxena A., Breather lattice and its stabilization for the modiﬁed Korteweg/emdash.cyrde Vries equation, Phys

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.217907Z

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.

Observation 68d20df0-14cf-4139-9ffa-efc804aa0108 · outbound

This paper cites G., Khare A., Saxena A., Herring G.

Exact quasi-periodic solutions to the MKdV equation G., Khare A., Saxena A., Herring G

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.194643Z

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.

Observation 3ae6372b-eaea-4cfb-8394-e9d241a127f8 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.174247Z

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.

Observation a718c146-4b79-4079-be75-7af2505a30bd · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.156842Z

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.

Observation b125507f-70ec-45ab-ba2d-1b519ff52756 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.137350Z

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.

Observation ced2b7b7-5a55-4bac-bc0b-6e2da06d4685 · outbound

This paper cites M., Korteweg/emdash.cyrde Vries equation and generalizations.

Exact quasi-periodic solutions to the MKdV equation M., Korteweg/emdash.cyrde Vries equation and generalizations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T10:50:44.116136Z

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.

Observation 3a73135d-b7b2-4bd8-829f-d4232700b145 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.096208Z

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.

Observation 654501d8-91c5-43fc-9501-cd5379da60e3 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.077012Z

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.

Observation 2896e4e4-b6f7-431d-9102-c053762339e1 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.057642Z

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.

Observation 4f30f4b6-8c96-4ef6-bea6-92f059b40b50 · outbound

This paper cites an unresolved cited work.

Exact quasi-periodic solutions to the MKdV equation Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T10:50:44.038171Z

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.

Pith citing papers

Observation 0dc57f41-bf26-46a5-8981-d0ee56c7cf82 · inbound

Algebro-geometric integration of the Boussinesq hierarchy cites this paper.

Algebro-geometric integration of the Boussinesq hierarchy Exact quasi-periodic solutions to the MKdV equation

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:18.407211Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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 2026-08-23T06:30:58.430688+00:00.

Observation 95f69a57-20a2-4125-9441-fd2dc144c82a · 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 Exact quasi-periodic solutions to the MKdV equation

Reference 23

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.