Paper Citation Record · LEDGER

Algebro-geometric integration of the Boussinesq hierarchy

As of 23 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2507.19179.

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

pith.paper-citation-record.v1
2507.19179 v2

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:09:18.542034Z

measured 43 of 43 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 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

43 of 43 outbound references displayed

verified exact1
verified fuzzy18
unresolved24
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External citation measurements

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Outbound references

Observation 31c58571-5926-4859-a85f-d94a5b86c78e · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:19.072915Z

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 cf29f98f-269e-4553-b0cd-de1e1b3d9fe7 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:19.061064Z

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Observation 8bddfc66-8119-4a47-9151-9a345931c28b · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:19.048500Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation f2cac58d-85ae-41df-9354-8487ffb002e0 · outbound

This paper cites Orbit approach to separation of va riables in sl(3)-related integrable systems, Commun.

Algebro-geometric integration of the Boussinesq hierarchy Orbit approach to separation of va riables in sl(3)-related integrable systems, Commun

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:19.036624Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 5395536b-a4c6-4874-8131-8d299644c684 · outbound

This paper cites Solution of the Jacobi inversi on problem on non-hyperelliptic curves.

Algebro-geometric integration of the Boussinesq hierarchy Solution of the Jacobi inversi on problem on non-hyperelliptic curves

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:19.023355Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 35b012df-1f23-432f-bc5a-157742946239 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:19.010520Z

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 cad9b30c-8c68-4ff5-b2c7-c4ebf45fe14c · outbound

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

Algebro-geometric integration of the Boussinesq hierarchy Computation of $\wp$-functions on plane algebraic curves

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:18.394735Z

Source-reported events for the cited work

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Observation c1792b75-79a2-4ca3-a151-afd73e77afcb · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.997716Z

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 8243f3ea-b078-4c7b-95e9-ee9f6460ba7a · outbound

This paper cites Exact quasi-periodic solutions to the sine(sinh)-Gordon equations: The method for computation and analysis.

Algebro-geometric integration of the Boussinesq hierarchy Exact quasi-periodic solutions to the sine(sinh)-Gordon equations: The method for computation and analysis

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-15T18:09:18.599951Z

Source-reported events for the cited work

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

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

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 465522c2-97f9-46b8-81a7-2ca73423d203 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.984621Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 36b98e6b-d450-4903-a135-74cda0a3315a · outbound

This paper cites M., Enolskii V.

Algebro-geometric integration of the Boussinesq hierarchy M., Enolskii V

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:18.416461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 353a65b7-318e-4e7b-acd4-244a52c70ac5 · outbound

This paper cites Multi-Dimensional Sigma-Functions.

Algebro-geometric integration of the Boussinesq hierarchy Multi-Dimensional Sigma-Functions

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:18.420681Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86fddb79-51d0-4c02-ad79-102a230c8194 · outbound

This paper cites M., Leikin D.

Algebro-geometric integration of the Boussinesq hierarchy M., Leikin D

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-15T18:09:18.425118Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36a98537-ff94-4b5c-838a-d591476ccd5c · outbound

This paper cites Pure Appl.

Algebro-geometric integration of the Boussinesq hierarchy Pure Appl

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.959563Z

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 ade6c430-84c2-42e1-bf4b-880a826f35da · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.947663Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation c93c0c41-b706-4a75-a362-29985d48c4e9 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.936082Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 33944756-c733-4ed0-9535-75ad35cd4a6f · outbound

This paper cites II-III, Physica D , 9:3 (1983), pp.

Algebro-geometric integration of the Boussinesq hierarchy II-III, Physica D , 9:3 (1983), pp

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.925273Z

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 e903df60-f276-423c-abea-5077543026b4 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.914232Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d7f3a094-1717-4249-a1d3-6b6547943eec · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.902634Z

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Observation 48ce31d9-db4d-402e-b735-50a13dd1c07d · outbound

This paper cites Sagdeev, R.

Algebro-geometric integration of the Boussinesq hierarchy Sagdeev, R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.891335Z

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Observation 1dafa01e-eacc-43c5-9bf6-0bc439e16649 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.879180Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4cd57863-efcd-4699-b2d2-dfab3461557c · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.867724Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 0f8a5662-567f-4bad-a3b8-a2f72b8cd5f3 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.855214Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation aa869fa1-37b9-4b5f-bdaa-b8f514bc6829 · outbound

This paper cites 292:5 (1987), pp.

Algebro-geometric integration of the Boussinesq hierarchy 292:5 (1987), pp

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.842424Z

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 229e977d-0610-45c6-a500-f3b08ff00c46 · outbound

This paper cites Shkil, M.I., Nikitin, A.G., Boyko, V.M., Vol.

Algebro-geometric integration of the Boussinesq hierarchy Shkil, M.I., Nikitin, A.G., Boyko, V.M., Vol

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.830607Z

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 3e782424-41f8-4898-bbde-fad406b1695a · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.818474Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 2eb75fa2-59ac-4f8b-9d77-ea2d4eea0871 · outbound

This paper cites V., Construction of exact solutions of the Bo ussinesq equation, Journal of Applied Mechanics and Technical Physics , 39:3 (1998) pp.

Algebro-geometric integration of the Boussinesq hierarchy V., Construction of exact solutions of the Bo ussinesq equation, Journal of Applied Mechanics and Technical Physics , 39:3 (1998) pp

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.806008Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation de974c83-9e3b-4418-aaef-4199cdf6dd19 · outbound

This paper cites M., Methods of algebraic geometry in the th eory of non-linear equations, Russian Mathematical Surveys, 32:6 (1977), pp.

Algebro-geometric integration of the Boussinesq hierarchy M., Methods of algebraic geometry in the th eory of non-linear equations, Russian Mathematical Surveys, 32:6 (1977), pp

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.794277Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 554c812b-f8f8-4f82-8f04-7eb6149dda81 · outbound

This paper cites B., Smirnov A.

Algebro-geometric integration of the Boussinesq hierarchy B., Smirnov A

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.782041Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 9cd054db-3bbc-4feb-98e8-c88222c5f5d7 · outbound

This paper cites P., Boussinesq’s equation on the circle, Phys ica 3D (1981) 1& 2, pp.

Algebro-geometric integration of the Boussinesq hierarchy P., Boussinesq’s equation on the circle, Phys ica 3D (1981) 1& 2, pp

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.770344Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 86fb3c61-3427-4a07-aee3-8952946226f5 · outbound

This paper cites D., Zaitsev V., F., Handbook of Nonlinear Pa rtial Diﬀerential Equations, Chap- man & Hall/CRC, Boca Raton, 2004.

Algebro-geometric integration of the Boussinesq hierarchy D., Zaitsev V., F., Handbook of Nonlinear Pa rtial Diﬀerential Equations, Chap- man & Hall/CRC, Boca Raton, 2004

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.758715Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3329afc4-6476-40ef-a493-4c53acd72dfc · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.746955Z

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Observation 77f7ff32-0dac-4db2-93ff-647f4da9566b · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.733672Z

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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 27202fda-d4db-4c01-b44d-9816b08364b5 · outbound

This paper cites Inﬁnite-dimensional Lie algebras, classi cal r-matrices, and Lax operators: two approaches, J.

Algebro-geometric integration of the Boussinesq hierarchy Inﬁnite-dimensional Lie algebras, classi cal r-matrices, and Lax operators: two approaches, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.722814Z

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 1841bfe9-b2e7-4dd3-966c-7e47579a24e6 · outbound

This paper cites Many-poled r-matrix Lie algebras, Lax oper ators, and integrable systems’, J.

Algebro-geometric integration of the Boussinesq hierarchy Many-poled r-matrix Lie algebras, Lax oper ators, and integrable systems’, J

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.709587Z

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 65e6b381-37e7-4ade-8ddf-725a9772beb5 · outbound

This paper cites Generalized shift elements: construction and applications, Journal of Geometry and Physics , 80 (2014), pp.

Algebro-geometric integration of the Boussinesq hierarchy Generalized shift elements: construction and applications, Journal of Geometry and Physics , 80 (2014), pp

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.698294Z

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 9e7d2dc2-7d2b-46c3-b1b4-4f40ba35ca10 · outbound

This paper cites Reductions in soliton hierarchies and spec ial points of classical r-matrices, Jour- nal of Geometry and Physics , 130 (2018), pp.

Algebro-geometric integration of the Boussinesq hierarchy Reductions in soliton hierarchies and spec ial points of classical r-matrices, Jour- nal of Geometry and Physics , 130 (2018), pp

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.685988Z

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 18792dd9-c062-4429-bd79-70ce0adba534 · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.672636Z

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 c367b499-3fdb-4e25-becc-a7e37e0841c6 · outbound

This paper cites II: B¨ acklund transformation, Lax pairs, and the Schwarzian derivative, J.

Algebro-geometric integration of the Boussinesq hierarchy II: B¨ acklund transformation, Lax pairs, and the Schwarzian derivative, J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.660105Z

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 7ced7129-b81c-43b2-95af-427ba3a9c152 · outbound

This paper cites Shabat, A.B.

Algebro-geometric integration of the Boussinesq hierarchy Shabat, A.B

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:09:18.647557Z

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 2da32617-bbd7-4123-8852-9116c44ea0fd · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.634843Z

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 a3f1416e-8467-4088-92fc-062694b55baa · outbound

This paper cites an unresolved cited work.

Algebro-geometric integration of the Boussinesq hierarchy Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:09:18.623531Z

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

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