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Paper Citation Record · LEDGER

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 1 inbound Pith citation observation for arXiv:2505.24330.

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

pith.paper-citation-record.v1
2505.24330 v3

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:37:40.420724Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-17T07:20:33.581954Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-17T07:21:37.302617Z

Reference resolution

27 of 27 outbound references displayed

  • verified exact1
  • verified fuzzy21
  • unresolved5
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6fb1b9a1-2e9e-4159-8050-5564cba52470 · outbound

This paper cites Adler, P.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Adler, P

Reference 1

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verified fuzzy
raw_fallback, observed 2026-08-07T12:37:44.823768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 4eedd700-2e0c-4b85-929d-4ba9f81bacf9 · outbound

This paper cites an unresolved cited work.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Unresolved cited work

Reference 2

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raw_fallback, observed 2026-08-07T12:37:44.712220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 8b353679-e6ce-484d-9e81-d5dc5a95d809 · outbound

This paper cites Chiba, Kovalevskaya exponents and the space of initial conditions of a quasi- homogeneous vector field,J.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Chiba, Kovalevskaya exponents and the space of initial conditions of a quasi- homogeneous vector field,J

Reference 3

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation ff6a0e1b-ab0f-43ee-b538-8f29a54d806d · outbound

This paper cites Chiba, The first, second and fourth Painlev´ e equations on weighted projec- tive spaces,J.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Chiba, The first, second and fourth Painlev´ e equations on weighted projec- tive spaces,J

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:44.508868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.275731Z digest=sha256:78be30cd0346b512f0caaba4fa2245dd2c56798caebe3314091ca3c8818b2a3e

Observation b7e8e6cd-4881-4eab-a037-f7d899af824c · outbound

This paper cites Chiba, The third, fifth and sixth Painlev´ e equations on weighted projective spaces,SIGMA12(2016), 019.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Chiba, The third, fifth and sixth Painlev´ e equations on weighted projective spaces,SIGMA12(2016), 019

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.389495Z digest=sha256:64893627a48c6270c451db8ddb850a1c7bef3c42cae6347f00316a633d252cb0

Observation 182709b7-7012-45c2-b604-7526c5ebe2b6 · outbound

This paper cites Chiba, Weights, Kovalevskaya exponents and the Painlev´ e property,Annales de l’Institut Fourier, in press, (2023).

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Chiba, Weights, Kovalevskaya exponents and the Painlev´ e property,Annales de l’Institut Fourier, in press, (2023)

Reference 6

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation b84000dd-ded3-43f3-86da-c4c27591e89b · outbound

This paper cites an unresolved cited work.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:37:44.038115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.601568Z digest=sha256:cf240ee0b9a11f88787f54bacc320ca71083ecbb0f06b662e5ada2e404cafcf6

Observation 945849c0-5847-4bd0-8157-3ab49d45ae73 · outbound

This paper cites Costin, R.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Costin, R

Reference 8

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.676904Z digest=sha256:fa99066d6b774429b7784c1a13860503dc4cc571601f58eb8b631cd6406cfe87

Observation 2b9c49ae-e2a9-4b55-8cf6-0404b6fc0479 · outbound

This paper cites Dubrovin, Geometry of 2D topological field theories, in:Integrable Sys- tems and Quantum Groups, Lecture Notes in Mathematics, vol.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Dubrovin, Geometry of 2D topological field theories, in:Integrable Sys- tems and Quantum Groups, Lecture Notes in Mathematics, vol

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:43.771790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.758503Z digest=sha256:74a314e95fce01cf3053ea257b2eb3fc2b70f0c28396f0f8bc392d32e23caa06

Observation fc18e3a4-cb1f-4467-8a2a-fb0c57562152 · outbound

This paper cites Goriely, Painlev´ e analysis and normal forms theory,Phys.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Goriely, Painlev´ e analysis and normal forms theory,Phys

Reference 10

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 6fd458ac-f151-4c8f-bea0-a1b41ad4744e · outbound

This paper cites Goriely,Integrability and Nonintegrability of Dynamical Systems, Advanced Series in Nonlinear Dynamics, vol.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Goriely,Integrability and Nonintegrability of Dynamical Systems, Advanced Series in Nonlinear Dynamics, vol

Reference 11

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:38.928226Z digest=sha256:a73641b9b8067cd5482e8d2e8b02246d535e43d0011ffd2f6a1483cf3338fcff

Observation 41ba8100-5fc1-4658-8b94-bde13f74c535 · outbound

This paper cites Hertling,Frobenius Manifolds and Moduli Spaces for Singularities, Cam- bridge Tracts in Mathematics, vol.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Hertling,Frobenius Manifolds and Moduli Spaces for Singularities, Cam- bridge Tracts in Mathematics, vol

Reference 12

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation f6e18232-5b22-443d-a781-bfb6fa63f4c4 · outbound

This paper cites Painleve Test and the Resolution of Singularities for Integrable Equations.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Painleve Test and the Resolution of Singularities for Integrable Equations

Reference 13

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.125060Z digest=sha256:e6f0b1f6b5a89bf9500274b7787e69d1fb67636794c082706a055e2722a3a32f

Observation 96bec32f-25fe-436d-9ad5-c515fb3130ee · outbound

This paper cites an unresolved cited work.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Unresolved cited work

Reference 14

Resolution
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raw_fallback, observed 2026-08-07T12:37:43.011932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.236420Z digest=sha256:5573e2642e7ca66c62acc54d4006e8c5a8213e1106a2769f517a30f68aaa3b64

Observation 09739475-b8e6-4ca8-a430-bcec8f8a3b70 · outbound

This paper cites Kovalevskaya, Sur le probl` eme de la rotation d’un corps solide autour d’un point fixe,Acta Math.12(1889), 177–232.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Kovalevskaya, Sur le probl` eme de la rotation d’un corps solide autour d’un point fixe,Acta Math.12(1889), 177–232

Reference 15

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verified fuzzy
raw_fallback, observed 2026-08-07T12:37:42.833570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.312724Z digest=sha256:cd85e3d88fbbebd09c8cd0446a1a953aface3ba739299eed4665abc08fffaf57

Observation 553deb27-84e3-4002-b268-f96e4ddac259 · outbound

This paper cites Manin,Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces, American Mathematical Society Colloquium Publications, vol.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Manin,Frobenius Manifolds, Quantum Cohomology, and Moduli Spaces, American Mathematical Society Colloquium Publications, vol

Reference 16

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raw_fallback, observed 2026-08-07T12:37:42.671346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 93349b5a-326c-47bb-8071-b40bcadd3cc3 · outbound

This paper cites Magri, A simple model of the integrable Hamiltonian equation,J.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Magri, A simple model of the integrable Hamiltonian equation,J

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:42.449075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.453883Z digest=sha256:273353c49a10e541b4d1179043233e0c7848a6736c92a9c5058335f944603e62

Observation a147d63d-3223-4469-b9da-470e0976d441 · outbound

This paper cites an unresolved cited work.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T12:37:42.238166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.554090Z digest=sha256:cfbcde96a71306dd24abb909bb17e0ee4a5ac3f4ea4633e9db2593ee77271a62

Observation 11c434f1-3686-4d03-a384-a9d2568e41c9 · outbound

This paper cites Okamoto, Studies on the Painlev´ e equations.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Okamoto, Studies on the Painlev´ e equations

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-07T12:37:42.047582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.668326Z digest=sha256:7bf77b0cca014a64ae351e4bd8bd507e01d66edfe3e307f2b8f66baf6d058b02

Observation 573ecde4-1840-4251-a495-4c6bf1c52c73 · outbound

This paper cites Sakai, Rational surfaces associated with affine root systems and geometry of the Painlev´ e equations,Commun.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Sakai, Rational surfaces associated with affine root systems and geometry of the Painlev´ e equations,Commun

Reference 20

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.755410Z digest=sha256:50d9c200c05c0cb02f7b0da605053cdbd4a7e4688a6c6bd4f5911264ead4da96

Observation c4ea3598-3dcd-45ea-b82a-038f2d809b4e · outbound

This paper cites Saito, Regular systems of weights and associated singularities,RIMS Kokyuroku49(1981), 99–108.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Saito, Regular systems of weights and associated singularities,RIMS Kokyuroku49(1981), 99–108

Reference 21

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verified fuzzy
raw_fallback, observed 2026-08-07T12:37:41.725879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.849309Z digest=sha256:37795bb420d0a3ca927e0319cc73bc70a0ab199755a7e12ab623f2fb1a9bf277

Observation 9949950f-20d3-4648-b655-d0a1c7555e62 · outbound

This paper cites an unresolved cited work.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Unresolved cited work

Reference 22

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unresolved
raw_fallback, observed 2026-08-07T12:37:41.580034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:39.964589Z digest=sha256:24d01aa917473e348d6838014bae6a972ad205a0beb86f36691c11c0821be60a

Observation eadadf3c-799b-4649-a8da-a23fd37a5eee · outbound

This paper cites Wasow,Asymptotic Expansions for Ordinary Differential Equations, Pure and Applied Mathematics, vol.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Wasow,Asymptotic Expansions for Ordinary Differential Equations, Pure and Applied Mathematics, vol

Reference 23

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verified fuzzy
raw_fallback, observed 2026-08-07T12:37:41.403053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:40.059301Z digest=sha256:33603d0a6af678722c33d2c4d728dd0a786adc3d5ffefb0821d7a663b8a86d21

Observation 9069a5fa-23ac-4531-8408-f5fa84cc4c57 · outbound

This paper cites Balser,Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Springer-Verlag, New York, (2000).

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Balser,Formal Power Series and Linear Systems of Meromorphic Ordinary Differential Equations, Springer-Verlag, New York, (2000)

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:41.266732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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Observation 9a2773a4-36ab-4986-8797-296058eddba3 · outbound

This paper cites Yoshida, Necessary conditions for algebraic first integrals,Celestial Mechan- ics31(1983), 363–399.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Yoshida, Necessary conditions for algebraic first integrals,Celestial Mechan- ics31(1983), 363–399

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:41.112144Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:40.200774Z digest=sha256:d14b6c4aa0d5732577990ec9f37bf1624811a8083dc53d74bb2d0d4f532925f9

Observation 76932ef1-cde2-4302-a32a-840dd1310ace · outbound

This paper cites Yoshida, Painlev´ e resonance and Kovalevskaya exponents,J.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Yoshida, Painlev´ e resonance and Kovalevskaya exponents,J

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:40.961671Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:40.316269Z digest=sha256:134202857b97f01e32bce6b4c9c5478243159e618dcb874c597585db9d61bcfc

Observation d579d876-58f3-41be-b1a9-c5e340292bfe · outbound

This paper cites Shioda, On Hamiltonian structures of Painlev´ e systems,Funkcialaj Ekvacioj 44(2001), 65–75.

Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property Shioda, On Hamiltonian structures of Painlev´ e systems,Funkcialaj Ekvacioj 44(2001), 65–75

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T12:37:40.775725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T12:37:40.420724Z digest=sha256:1e3ab80f93a82bacb213552de4ca819ef162431cd4ad0acc69ef2dcf23d9dc81

Pith citing papers

Observation bc32dc77-faa5-4b97-a9f8-45e8922a3c58 · inbound

Kovalevskaya exponents of the Riccati hierarchy cites this paper.

Kovalevskaya exponents of the Riccati hierarchy Quasi-Homogeneous Integrable Systems: Free Parameters, Kovalevskaya Exponents, and the Painlev\'e Property

Reference 16

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arxiv_id, observed 2026-06-26T02:15:36.237986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-17T07:20:33.581954Z digest=sha256:9e02822993e6cd9eaa793606067ac1f6fdddf8e400a641c6a6e979165fd49b0a