Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T16:16:13.723704Z
Paper Citation Record · LEDGER
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem
As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 1 inbound Pith citation observation for arXiv:2509.08527.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-01T03:46:14.587401Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T11:55:42.339166Z
Reference resolution
14 of 14 outbound references displayed
- verified exact3
- verified fuzzy2
- unresolved8
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 13de9fad-b94a-4e7a-822c-7c52fd03a2c8 · outbound
This paper cites Algebraic Nahm transform for parabolic Higgs bundles onP 1.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Algebraic Nahm transform for parabolic Higgs bundles onP 1
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.659650Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cb155eb-3877-4389-b07d-3ea8f5363e87 · outbound
This paper cites Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.700225Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 97df233b-fe2f-4b4b-9475-7b3a68a709e7 · outbound
This paper cites Katz’s middle convolution algorithm.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Katz’s middle convolution algorithm
Reference 11
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T16:16:14.032063Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9add7e26-b9d6-414d-aa4d-46d02cfe14a5 · outbound
This paper cites Moduli of representations of the fundamental group of a smooth projective variety. II.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Moduli of representations of the fundamental group of a smooth projective variety. II
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:16:14.258653Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation dd0ab30b-e272-4140-a620-0b9b0add549c · outbound
This paper cites The automorphism group of the moduli space of semistable vector bundles.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem The automorphism group of the moduli space of semistable vector bundles
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.695676Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9c0c6c9c-8a11-4238-af8e-8c3302f752c7 · outbound
This paper cites Topological Mirror Symmetry of Parabolic Hitchin Systems.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Topological Mirror Symmetry of Parabolic Hitchin Systems
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T16:16:13.966830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 9cdcc2b0-928f-4be7-942d-efd9086cacd0 · outbound
This paper cites The Deligne-Simpson problem—a survey.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem The Deligne-Simpson problem—a survey
Reference 15
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-15T16:16:13.690178Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1aabfef-e121-4063-add0-e90431d3c0ff · outbound
This paper cites Springer-Verlag, New York-Heidelberg, 1977, pp.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Springer-Verlag, New York-Heidelberg, 1977, pp
Reference 52
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T16:16:14.273715Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 7e5e3c8c-85e7-44a7-8496-3fc96da4b554 · outbound
This paper cites Cohomologicalχ-independence for Higgs bundles and Gopakumar–Vafa invariants.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Cohomologicalχ-independence for Higgs bundles and Gopakumar–Vafa invariants
Reference 139
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.684796Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 82a778ac-ed2d-4327-b385-a2a2965f478c · outbound
This paper cites Twisted spectral correspondence and torus knots.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Twisted spectral correspondence and torus knots
Reference 411
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.665234Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 05534377-679f-4017-ac76-a70116feb2ab · outbound
This paper cites Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
Reference 2021
- Resolution
- verified exact
- raw_fallback, observed 2026-08-15T16:16:13.945321Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation e0d124f2-e252-43ba-900e-a90d8f2af6dc · outbound
This paper cites $P=W$ via $\mathcal{H}_2$.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem $P=W$ via $\mathcal{H}_2$
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.680015Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fff049c-aa2a-480b-a907-5b450315540c · outbound
This paper cites 54 [MSY24] D.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem 54 [MSY24] D
Reference 2023
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.705180Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cb1f7093-5031-4e9a-8220-37543556103d · outbound
This paper cites The meromorphic Hitchin fibration over stable pointed curves: moduli spaces.
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem The meromorphic Hitchin fibration over stable pointed curves: moduli spaces
Reference 2024
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T16:16:13.670426Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation b8992de9-f318-442b-99ee-a26c8bedf058 · inbound
Symplectic leaves of meromorphic Hitchin systems cites this paper.
Symplectic leaves of meromorphic Hitchin systems Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem
Reference 49
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T11:55:42.340888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.