Paper Citation Record · LEDGER

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence

As of 8 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2509.00418.

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

pith.paper-citation-record.v1
2509.00418 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T13:45:15.696578Z

measured 34 of 34 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

verified exact2
verified fuzzy28
unresolved3
parse uncertain0
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External citation measurements

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Outbound references

Observation 3a21b341-e6de-449d-a596-2f100010c44d · outbound

This paper cites Aker, Sz.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Aker, Sz

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:21.830339Z

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

Observation 0b21475c-334a-43c4-aee5-cbd939ef944f · outbound

This paper cites Beauville, M.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Beauville, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:21.691579Z

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

Observation 8237ebf6-ce68-4d35-a4f2-744b73cf13d5 · outbound

This paper cites Biquard, P.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Biquard, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:21.540968Z

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

Observation bac491b7-039a-445b-99d5-fdb05897a22c · outbound

This paper cites Biquard, M.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Biquard, M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:21.364584Z

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

Observation 0217f146-f795-4e1a-b74c-eac345557d0a · outbound

This paper cites Biswas, S.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Biswas, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:21.167588Z

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Observation 45b5fbaa-b209-4661-8b8a-29f6a91bdf24 · outbound

This paper cites an unresolved cited work.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:45:20.964593Z

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

Observation 4db7a9c0-72d0-445f-bfe7-734033610e93 · outbound

This paper cites Boalch: Geometry and braiding of Stokes data; Fission and wild character varieties, Annals of Mathematics 179, 1 (2014), 301-365.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Boalch: Geometry and braiding of Stokes data; Fission and wild character varieties, Annals of Mathematics 179, 1 (2014), 301-365

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:20.780426Z

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

Observation 7cb28b25-147b-45c5-8f5e-a5987e57e545 · outbound

This paper cites an unresolved cited work.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:45:20.612447Z

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Observation 7759fc37-e156-4f77-a215-fd034b97100c · outbound

This paper cites an unresolved cited work.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-05T13:45:20.421868Z

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

Observation ff4b13b3-c5c8-4efe-bcbe-3e2259714327 · outbound

This paper cites Diaconescu, R.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Diaconescu, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:20.224579Z

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

Observation 150b32f3-b078-470b-b676-0bc9db4db7a8 · outbound

This paper cites Donagi, E.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Donagi, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.967722Z

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.

Observation 028ddbeb-dfbc-4bc2-b5f4-db7bd3ebc26d · outbound

This paper cites Asymptotic geometry of non-abelian Hodge theory and Riemann--Hilbert correspondence, rank three $\widetilde{E}_6$ case.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Asymptotic geometry of non-abelian Hodge theory and Riemann--Hilbert correspondence, rank three $\widetilde{E}_6$ case

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-05T13:45:16.558404Z

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

Observation ae104c04-1cf2-4959-823e-a39cb80a0c62 · outbound

This paper cites Rank three representations of Painlev\'e systems: I. Wild character varieties.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Rank three representations of Painlev\'e systems: I. Wild character varieties

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-05T13:45:16.327981Z

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

Observation 3f19d948-31cc-4599-a3e4-de361e9303de · outbound

This paper cites Eper, Sz.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Eper, Sz

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.791510Z

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

Observation d06795b4-04d2-4045-97ad-451e024e9f7b · outbound

This paper cites Griffiths, J.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Griffiths, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.653349Z

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

Observation b6d79687-a83d-4329-b80d-3427c3955a32 · outbound

This paper cites Hirzebruch: ¨Uber vierdimensionale Riemannsche Fl¨ achen mehrdeutiger analytischer Functionen von zwei complexen Ver¨ anderlichen,Math.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Hirzebruch: ¨Uber vierdimensionale Riemannsche Fl¨ achen mehrdeutiger analytischer Functionen von zwei complexen Ver¨ anderlichen,Math

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.505423Z

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.

Observation 3408d37c-6ef3-4c64-92f2-4b82cfb25467 · outbound

This paper cites Huybrechts, M.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Huybrechts, M

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.347524Z

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

Observation 74728a4e-bd34-468e-9fb7-5bafc53a50cf · outbound

This paper cites Ivanics, A.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Ivanics, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:19.185735Z

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

Observation ad28413a-eb33-4d7f-a949-2b48147006c3 · outbound

This paper cites Ivanics, A.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Ivanics, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.996515Z

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

Observation 7ae49b62-0f50-4f93-91a9-c923be96e9d8 · outbound

This paper cites Joshi, A.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Joshi, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.777354Z

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

Observation 7232dcd9-2f97-49f6-859a-88b7b9f23d16 · outbound

This paper cites Joshi, A.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Joshi, A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.564853Z

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

Observation 40a8ee65-178d-49c4-882d-a7546be7b2bb · outbound

This paper cites Katzarkov, M.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Katzarkov, M

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.397734Z

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

Observation d499a91a-5a50-4248-8120-c28bcac0c1f4 · outbound

This paper cites Keane, Sz.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Keane, Sz

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.272520Z

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

Observation f3efa775-b32d-46ca-84ad-10456da714e4 · outbound

This paper cites Maciocia: Metrics on the moduli spaces of instantons over Euclidean 4-space, Commun.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Maciocia: Metrics on the moduli spaces of instantons over Euclidean 4-space, Commun

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.140700Z

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

Observation 2fcbfd3d-163b-4c1e-8ebf-62518648c3ac · outbound

This paper cites Markman: Spectral curves and integrable systems,Compos.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Markman: Spectral curves and integrable systems,Compos

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:18.012546Z

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

Observation e7ed0f99-37de-4502-8e76-d85cc9712568 · outbound

This paper cites Mihajlovi´c: Elliptic Fibrations in 4-Dimensional Topology and Geometry, PhD thesis, Central European University (2022).

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Mihajlovi´c: Elliptic Fibrations in 4-Dimensional Topology and Geometry, PhD thesis, Central European University (2022)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.866320Z

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.

Observation 5317c4de-957c-46d6-b6a7-4d3a4e46f038 · outbound

This paper cites Mochizuki: Wild harmonic bundles and wild pure twistor D-modules, Ast´ erisque340, Soci´ et´ e Math´ ematique de France (2011).

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Mochizuki: Wild harmonic bundles and wild pure twistor D-modules, Ast´ erisque340, Soci´ et´ e Math´ ematique de France (2011)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.711525Z

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

Observation 2b3c3964-b1bd-4b69-b7be-8780ef3e7a0f · outbound

This paper cites Mukai: Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Mukai: Symplectic structure of the moduli space of sheaves on an abelian or K3 surface, Invent

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.566563Z

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

Observation e27ed942-63e8-4f05-a62c-94dc30d6960d · outbound

This paper cites Mumford, T.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Mumford, T

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.432912Z

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.

Observation 38db32a9-67a4-4d9b-ba3e-6b69a15e5134 · outbound

This paper cites Nakajima: Monopoles and Nahm’s equations, in: Ein- stein metrics and Yang-Mills connections (Sanda, 1990) 145, Lecture Notes in Pure and Appl.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Nakajima: Monopoles and Nahm’s equations, in: Ein- stein metrics and Yang-Mills connections (Sanda, 1990) 145, Lecture Notes in Pure and Appl

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.296496Z

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.

Observation 843fd91b-8ad3-4471-8352-efff13bf109a · outbound

This paper cites Szab ´o: Nahm transform for integrable connections on the Riemann sphere, M´ emoires de la Soci´ et´ e Math´ ematique de France 110, (2007).

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Szab ´o: Nahm transform for integrable connections on the Riemann sphere, M´ emoires de la Soci´ et´ e Math´ ematique de France 110, (2007)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:17.121536Z

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

Observation 07f705a4-0180-45c9-9d58-bd9c35a3477b · outbound

This paper cites Szab´o: The Plancherel theorem for Fourier–Laplace–Nahm transform for connections on the projective line, Commun.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Szab´o: The Plancherel theorem for Fourier–Laplace–Nahm transform for connections on the projective line, Commun

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:16.990173Z

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

Observation 095d3dc7-6035-4cee-b140-69f9c2c0bc7e · outbound

This paper cites Szab ´o: The birational geometry of unramified irregular Higgs bundles on curves, International Journal of Mathematics 28, 6 (2017).

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Szab ´o: The birational geometry of unramified irregular Higgs bundles on curves, International Journal of Mathematics 28, 6 (2017)

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-05T13:45:16.807508Z

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

Observation f4bf5ba9-6792-4b92-a103-95eeb304c778 · outbound

This paper cites Szab ´o: Perversity equals weight for Painlev´ e spaces,Adv.

Rank three representations of Painleve systems: III. Dolbeault structure, spectral correspondence Szab ´o: Perversity equals weight for Painlev´ e spaces,Adv

Reference 34

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T13:45:16.123821Z

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.

Pith citing papers

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