Paper Citation Record · LEDGER

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases

As of 11 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2501.13775.

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

pith.paper-citation-record.v1
2501.13775 v1

Coverage vector

measured 40 of 40 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T15:43:16.581501Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

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Source: cited_works

Reference resolution

40 of 40 outbound references displayed

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External citation measurements

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Outbound references

Observation 201c2da5-2c77-4b3f-b65a-9989556b2ae1 · outbound

This paper cites and Biswas, I.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Biswas, I

Reference 1

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Observation 6b97da20-1731-41d8-9243-27d3db3459e3 · outbound

This paper cites and Machu, F.-X.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Machu, F.-X

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.204871Z

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Observation 665d04a4-9c59-4557-865e-5b0762f4ae45 · outbound

This paper cites Parabolic bundles as orbifold bundles.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Parabolic bundles as orbifold bundles

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.191294Z

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Observation ea85f309-ae80-497d-b368-8e3599378dcb · outbound

This paper cites Logarithmic Non-Abelian Hodge Theory for curves in prime characteristic.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Logarithmic Non-Abelian Hodge Theory for curves in prime characteristic

Reference 4

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This paper cites and Zhu, X.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Zhu, X

Reference 5

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This paper cites and Joyner, S.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Joyner, S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.177540Z

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 7

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This paper cites and Groechenig, M.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Groechenig, M

Reference 8

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 9

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Observation 05080586-a869-4361-9000-887237b38d6b · outbound

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:43:17.122391Z

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Observation 9dd506cf-4355-4096-8edd-8ba762b098ee · outbound

This paper cites Periodic de Rham bundles over curves.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Periodic de Rham bundles over curves

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.777402Z

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Observation 111c4cf1-8d00-4126-a9cd-1f167ccd7ee2 · outbound

This paper cites and Majumder, S.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Majumder, S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.109023Z

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Observation ef5edff7-5ee2-48c7-903d-8819c0116cde · outbound

This paper cites Bogomolov’s inequality for Higgs sheaves in positive characteristic.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Bogomolov’s inequality for Higgs sheaves in positive characteristic

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.094716Z

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This paper cites Nonabelian Hodge theory i n positive characteristic via exponential twisting.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Nonabelian Hodge theory i n positive characteristic via exponential twisting

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.081199Z

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Observation 04480711-38ee-477f-bcee-f1622d52af46 · outbound

This paper cites Semistable Higgs bundles , periodic Higgs bundles and representations of algebraic fundamental groups.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Semistable Higgs bundles , periodic Higgs bundles and representations of algebraic fundamental groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.067586Z

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Observation 8465d31a-abdf-435b-827b-8d33e96e5653 · outbound

This paper cites Uniformization of p-adic curves via Higgs-de Rham ﬂows.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Uniformization of p-adic curves via Higgs-de Rham ﬂows

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.053845Z

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Observation cff12033-dfe2-4be6-ba5c-777137587598 · outbound

This paper cites and Sun, H.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Sun, H

Reference 17

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Observation 24cce8b0-dc4a-4283-9707-ed5e52afc956 · outbound

This paper cites and Sheng, M.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Sheng, M

Reference 18

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Observation 61aaac96-65af-4888-877a-fc6a808b13de · outbound

This paper cites Parabolic Crystalline Representations.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Parabolic Crystalline Representations

Reference 19

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This paper cites and Yokogawa, K.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Yokogawa, K

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:17.010821Z

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 21

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Observation 7c770c08-f482-434e-bac4-ece7764d2b34 · outbound

This paper cites Kobayashi-Hitchin correspondence for t ame harmonic bundles and an application.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Kobayashi-Hitchin correspondence for t ame harmonic bundles and an application

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.980628Z

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Observation 230a53e5-36ed-435e-8209-f11c3546e561 · outbound

This paper cites Wild harmonic bundles and wild pure twist or D-modules.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Wild harmonic bundles and wild pure twist or D-modules

Reference 23

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Observation af0402b2-6154-4b21-bbb0-63ade6d342f4 · outbound

This paper cites Branched coverings and algebraic functions.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Branched coverings and algebraic functions

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.953096Z

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Observation bcc21501-751a-4dbd-8657-a6965d1821e9 · outbound

This paper cites and Laaroussi, A.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Laaroussi, A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.938861Z

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Observation c6c6c6ca-d442-49bf-b11a-55a426a3eb90 · outbound

This paper cites and Vologodsky, V.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases and Vologodsky, V

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.924854Z

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Observation 054aa360-7cc4-42dd-9eff-34c2f36d57cd · outbound

This paper cites Logarithmic nonabelian Hodge theory in characteristic p.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Logarithmic nonabelian Hodge theory in characteristic p

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.737981Z

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Observation 52f7319a-47e3-44fe-99aa-56fcbd4aa834 · outbound

This paper cites Tamely ramiﬁed geometric Langlands correspon dence in positive characteristic.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Tamely ramiﬁed geometric Langlands correspon dence in positive characteristic

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.910603Z

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Observation 39b7e8ca-e6c0-4ee3-8cf3-f8ace995f82b · outbound

This paper cites A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases A Nonabelian Hodge Correspondence for Principal Bundles in Positive Characteristic

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.718314Z

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Observation 21481a4c-9f20-4ad2-ae6b-02962ba5d392 · outbound

This paper cites Tensor product theorem for parabolic $\lambda$-connections.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Tensor product theorem for parabolic $\lambda$-connections

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.698395Z

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Observation c6fba5db-7198-40a8-8f5e-7ebaa54f4843 · outbound

This paper cites Periodic Higgs subbundles in positive and mixed characteristic.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Periodic Higgs subbundles in positive and mixed characteristic

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.677580Z

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Observation c11e04b1-e544-489a-a0d2-ee7ddb2dc3b6 · outbound

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:43:16.896487Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2cb0489c-43f6-42fd-8ef0-f5fc868fed69 · outbound

This paper cites an unresolved cited work.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:43:16.882033Z

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Observation dea2bf61-3623-46e4-83ba-630b128cdc27 · outbound

This paper cites Projective crystalline re presentations of ´ etale fundamental groups and twisted periodic Higgs-de Rham ﬂow.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Projective crystalline re presentations of ´ etale fundamental groups and twisted periodic Higgs-de Rham ﬂow

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.866023Z

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Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-10T15:43:16.851938Z

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Observation c47dc76d-455a-4ef1-ad05-e22a74cd529c · outbound

This paper cites Frobenius pull-back of parabolic bundles and dormant opers.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Frobenius pull-back of parabolic bundles and dormant opers

Reference 36

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Source-reported events for the cited work

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Observation 92674759-9301-430a-9ee9-cf932394f4f8 · outbound

This paper cites Constructing families of abelian varieties of $\text{GL}_2$-type over $4$-punctured complex projective line via $p$-adic Hodge theory and Langlands correspondence and application to algebraic solutions of Painleve VI equation.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Constructing families of abelian varieties of $\text{GL}_2$-type over $4$-punctured complex projective line via $p$-adic Hodge theory and Langlands correspondence and application to algebraic solutions of Painleve VI equation

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-10T15:43:16.639574Z

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Observation 49760a70-ee81-492a-8796-571482b994f5 · outbound

This paper cites Compactiﬁcation of moduli of parabolic sh eaves and moduli of parabolic Higgs sheaves.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Compactiﬁcation of moduli of parabolic sh eaves and moduli of parabolic Higgs sheaves

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.837702Z

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Observation 46d48dca-a6dc-4420-8dcb-d66285ca8df1 · outbound

This paper cites Inﬁnitesimal deformation of parabolic Hi ggs sheaves.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Inﬁnitesimal deformation of parabolic Hi ggs sheaves

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.823226Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6e2c4d82-d01b-4d6b-926e-49a0b19bd8f6 · outbound

This paper cites Arithmetic Simpson correspondence and GL2-motivic local systems over P1\{ 0, 1, λ, ∞}.

Constructing Parabolic Non-Abelian Hodge Correspondence in Positive Characteristic Using Parabolic Bases Arithmetic Simpson correspondence and GL2-motivic local systems over P1\{ 0, 1, λ, ∞}

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T15:43:16.808763Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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