Paper Citation Record · LEDGER

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy

As of 13 August 2026, this Paper Citation Record lists 49 of 49 outbound references and 1 inbound Pith citation observation for arXiv:2606.24662.

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

pith.paper-citation-record.v1
2606.24662 v2

Coverage vector

measured 49 of 49 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-26T05:48:13.591457Z

measured 50 of 50 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T10:48:47.620963Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

49 of 49 outbound references displayed

verified exact0
verified fuzzy0
unresolved49
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2be53c5-832b-4295-886e-11ad128132ca · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4462555-c872-494c-b7b4-87aa418b3d2e · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7d5f10d-c51d-4384-9c5f-a07c838362f2 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0bb5084c-1b58-4cae-ad61-88839467a621 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 082e5865-5a49-4b23-83d2-4905ef3416ae · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f5f0e3a-e875-4d29-bcfc-c2ede5c288e6 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53b8da2c-c4c9-4ba9-bd06-e39819a6e510 · outbound

This paper cites Alameddine.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Alameddine

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df494cae-d2ba-433d-ac10-93be7720fed0 · outbound

This paper cites Alameddine, N.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Alameddine, N

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84e11cae-457a-4500-9441-f92558ab05e7 · outbound

This paper cites Babelon, D.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Babelon, D

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0482f760-8c7b-4e47-82be-6c98c0e4f1cf · outbound

This paper cites Bertola, J.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Bertola, J

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa3f3abd-d40e-4d40-a558-e762b2535a9e · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74f78f16-0f33-4c00-9131-ebfa7ea49c12 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de1b0f19-d729-455b-ac2e-58878d660f51 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd2c0960-dfac-46bb-be28-224df974a410 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 568cc556-6869-40b9-8e36-ee8a66361f7c · outbound

This paper cites Boalch.Wild Character Varieties, Meromorphic Hitchin Systems and Dynkin Diagrams, page 433–454.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Boalch.Wild Character Varieties, Meromorphic Hitchin Systems and Dynkin Diagrams, page 433–454

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5bf58cb-afa0-4678-9c78-3497f913aa76 · outbound

This paper cites Clarkson, N.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Clarkson, N

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8133e3dc-c313-432c-945e-e4bf6c85c399 · outbound

This paper cites Dou¸ cot.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Dou¸ cot

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42d8e28b-a1b6-4b74-94a3-d0fcd510555c · outbound

This paper cites Dubrovin, V.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Dubrovin, V

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbb5d289-c893-4f0e-b39d-fd14ac9c3a96 · outbound

This paper cites Dubrovin and S.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Dubrovin and S

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ecbfb647-e6f0-4bca-819f-bd41220b2af1 · outbound

This paper cites Flaschka and D.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Flaschka and D

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c071e71-cdf7-4a6d-9461-0545c455c018 · outbound

This paper cites Flaschka and A.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Flaschka and A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f7d0b21-684d-4df3-a53d-80ffb52a9da2 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc18265c-0080-48e8-801a-b5317d069f88 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68fcb867-ce92-4b2b-a544-796897e688b3 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a130c270-e685-4f10-aa53-337dc24dff95 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 99c64a6b-af5f-4828-8cff-522c87bb9706 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b75f089-6205-45d5-87af-5b831bcf401f · outbound

This paper cites Harnad and M.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Harnad and M

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5516f0f6-be26-4777-b541-d5cd9a022d50 · outbound

This paper cites Jimbo and T.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Jimbo and T

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4941fc92-c9d0-448e-9df7-909438f61eaa · outbound

This paper cites Jimbo, T.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Jimbo, T

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ddde523-bb1a-4e6c-be3e-de398345a998 · outbound

This paper cites Jimbo, T.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Jimbo, T

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d72fcc11-6073-4852-bc90-8416ab78a4f2 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 999e33e9-77af-45cd-bb1d-b4fd1ef982ec · outbound

This paper cites Krichever.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Krichever

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cc4d92fc-21d8-48b6-b7cb-c1236c3cc883 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8b649ed-366a-414b-8df0-0561c5a715c3 · outbound

This paper cites Malmquist.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Malmquist

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c538d69-4fc1-436e-8542-6e4eed2ac68e · outbound

This paper cites Marchal and M.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Marchal and M

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75ec9955-0f79-4131-b51a-e892a6c14a93 · outbound

This paper cites Marchal and M.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Marchal and M

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c74fc886-d3c2-4470-a043-f4fcf423612c · outbound

This paper cites Marchal, N.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Marchal, N

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b5c9e0e3-acff-4e4c-9f9b-807c678a3673 · outbound

This paper cites Mazzocco.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Mazzocco

Reference 38

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edc1159f-6f18-4299-afb6-73431316d593 · outbound

This paper cites Mazzocco and M.Y.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Mazzocco and M.Y

Reference 39

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3c11969-244d-4ee0-a568-2ccd8b83e8de · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c3aa3ee-0f4a-4be5-9c25-a454b516ba54 · outbound

This paper cites Mumford.Tata Lectures on Theta II.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Mumford.Tata Lectures on Theta II

Reference 41

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbbc22c2-f6b2-44ef-8267-7acb8b1ee4f9 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9109faed-71cc-4a42-bdbe-57ccf8343a6f · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a5ea46db-30dc-4690-a4fb-902f4984be2e · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 44

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d5c5d63f-4f96-4893-b577-a7161b408d44 · outbound

This paper cites Painlev´ e.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Painlev´ e

Reference 45

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84b7aa1b-7516-4001-90a3-c398957f96a0 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 216c8a00-fe6c-4a81-9278-2d6e02c5b565 · outbound

This paper cites ¨Uber eine Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten.J.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy ¨Uber eine Klasse von Differentialsystemen beliebiger Ordnung mit festen kritischen Punkten.J

Reference 47

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22cb2fbb-948a-450b-91e3-123a88531703 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ec59c06-b118-40a2-8740-e4831d337424 · outbound

This paper cites an unresolved cited work.

A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy Unresolved cited work

Reference 49

Resolution: unresolved; no resolver link, observed 2026-06-26T05:48:13.591457Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 244d16e5-9ffc-489f-9906-7be12bbe2d31 · inbound

Explicit Hamiltonian structure of the Flaschka-Newell Painlev\'{e} II hierarchy via symmetry reduction of the Painlev\'{e} IV hierarchy cites this paper.

Explicit Hamiltonian structure of the Flaschka-Newell Painlev\'{e} II hierarchy via symmetry reduction of the Painlev\'{e} IV hierarchy A symmetry reduction of the Painlev\'{e} IV hierarchy to the Flaschka-Newell Painlev\'{e} II hierarchy

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T10:48:47.620963Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.