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Paper Citation Record · LEDGER

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

As of 21 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 2026-08-21T06:32:19.484+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

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  • verified fuzzy21
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External citation measurements

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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 2026-08-21T06:32:19.484+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+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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raw_fallback, observed 2026-08-07T12:37:44.610025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.179653Z digest=sha256:70f0cd4def5e38ba321d3fd11a5c8b88d4fdf865f77d83fd85b4618c87d697f3

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.275731Z digest=sha256:74055325a95e7f89e15ab8367f3ce46ccc83ae2764cf92a0c04b82467b7a503b

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.389495Z digest=sha256:a36048f17cff1596cee3ccbe112229492201517cba810174024286e0d75b0013

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.520250Z digest=sha256:c4df9a48104b31be74b28732651ecce074319e4b428b5fe2ac46e58f46b5fcc5

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.601568Z digest=sha256:a73c98c3ec38595a43ed021a2bc2e5749c12d52f7a5d0ea559cc940648fbb567

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.676904Z digest=sha256:d52dd7f2f2db4211adad994eeafe0e7f797d7675dcb50502273aebbbcea7ac82

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:38.928226Z digest=sha256:e5ee9dc5d9b664d8bb4443ebd0202bf5523eb37b204a44e57bf0243730b08e77

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

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.125060Z digest=sha256:5239ff34b2784b7b243b20fde10da526a6b487bdec7dc8bc644c1606834f46bd

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.236420Z digest=sha256:11998776f4d81b09a93eaedb5f13a8079e6253a9745a2d18ceac134dc7df3998

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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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.312724Z digest=sha256:ec653c058ac0bc74facadf629a0a59f8dc310d93bd9e95362f5b958a28e62c3a

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 2026-08-21T06:32:19.484+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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.453883Z digest=sha256:778ce12d6d53640a05c3a3d5524ee89dd9f188c541f8cd0fc4215b8b3590c151

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.554090Z digest=sha256:7b1e45fe6c3da4727ca4e6149c99f97544ae9a6c1badb9a3a9c56ebfbc2ccb40

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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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 2026-08-21T06:32:19.484+00:00.

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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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.755410Z digest=sha256:07c7e5bc7f8c58d7377fb2d0a167dc3767b89b955817dcf90f3e627388f79f2a

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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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.849309Z digest=sha256:1559e9de7e01fccebaced2588b906a8b6798005f60a2ce866c8bf23b1e2870a7

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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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:39.964589Z digest=sha256:51ff5e987918939b368396937e7ab2b65d61c23fd17aa5ed28b5c39563399672

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:40.059301Z digest=sha256:ae3f90e40fd1322cc61f73dd14bbe59193649cbc19439891625f54afc11c0929

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:40.131186Z digest=sha256:86e5c60db0682c8c05cb9badb68f5ebb6829f9d46279be902c31a6a9cc04a983

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:40.200774Z digest=sha256:b45eeb80aa41ad65dfbc9b0483be96d8f9b8a295d1664dfefb56f3f7e106429f

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:40.316269Z digest=sha256:7358517c7a21717c4b93580ba3549db2f07666f7973e6d8a8cdd32547f49c5b5

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

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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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T12:37:40.420724Z digest=sha256:41b64f791726f4c98015c3e0cfa36a2b130f634464e1030012c3dce1153e1fa7

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 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-05-17T07:20:33.581954Z digest=sha256:3895ff2a68b9d619703a8b5ff18a15061cbca1aa18e7137f4b9f1271af7edb96