Paper Citation Record · LEDGER

Algebraicity and integrality of solutions to differential equations

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 2 inbound Pith citation observations for arXiv:2501.13175.

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

pith.paper-citation-record.v1
2501.13175 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:36:00.533867Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:46:56.444703Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T04:42:50.194727Z

Reference resolution

21 of 21 outbound references displayed

verified exact5
verified fuzzy9
unresolved7
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 96bda8a9-0724-4d93-9810-5156009e493a · outbound

This paper cites Eisenstein’s last theorem.

Algebraicity and integrality of solutions to differential equations Eisenstein’s last theorem

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.840962Z

Source-reported events for the cited work

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

Observation be2be4bf-bd1f-48c7-a64a-f25f6e59af99 · outbound

This paper cites Finite braid group orbits on $SL_2$-character varieties.

Algebraicity and integrality of solutions to differential equations Finite braid group orbits on $SL_2$-character varieties

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.518896Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2307d748-7651-41e6-9cdc-52d78effaf59 · outbound

This paper cites Relative F ontaine–Messing theory over power series rings.

Algebraicity and integrality of solutions to differential equations Relative F ontaine–Messing theory over power series rings

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.831982Z

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Observation 09aa6ac2-6f9a-41c1-97b7-fe515255bc2d · outbound

This paper cites an unresolved cited work.

Algebraicity and integrality of solutions to differential equations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:36:00.823075Z

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

Observation d139374e-19c4-4fc0-8af2-ec2813967844 · outbound

This paper cites A non-abelian vers ion of Deligne’s ﬁxed part theorem.

Algebraicity and integrality of solutions to differential equations A non-abelian vers ion of Deligne’s ﬁxed part theorem

Reference 1852

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.489880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 985d30bb-0c73-4463-97a1-755f87478f82 · outbound

This paper cites Deformation theory of periodic Higgs-de Rham flows.

Algebraicity and integrality of solutions to differential equations Deformation theory of periodic Higgs-de Rham flows

Reference 1887

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:36:00.595825Z

Source-reported events for the cited work

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

Observation 38b5934c-d23b-40f1-9fe7-61598205824d · outbound

This paper cites Non-abelian (p,p) classes.

Algebraicity and integrality of solutions to differential equations Non-abelian (p,p) classes

Reference 1982

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.502448Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57f578f8-e5f7-4a8f-93de-149610257355 · outbound

This paper cites Globally bounded solutions of dif ferential equations.

Algebraicity and integrality of solutions to differential equations Globally bounded solutions of dif ferential equations

Reference 1986

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.858619Z

Source-reported events for the cited work

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

Observation d0ef01d4-156d-4ad3-a8ca-049bd5ac2454 · outbound

This paper cites Tykhyy’s conject ure on ﬁnite mapping class group or- bits.

Algebraicity and integrality of solutions to differential equations Tykhyy’s conject ure on ﬁnite mapping class group or- bits

Reference 1989

Resolution: verified exact; raw_fallback, observed 2026-08-10T16:36:00.767697Z

Source-reported events for the cited work

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

Observation 624b9401-f047-45cb-a1ef-a477b6b521a9 · outbound

This paper cites Crystalline cohomology and p-adic G alois-representations.

Algebraicity and integrality of solutions to differential equations Crystalline cohomology and p-adic G alois-representations

Reference 1992

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.849702Z

Source-reported events for the cited work

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

Observation 93be6f31-2bdb-43c3-b40c-39b7d0e78fe2 · outbound

This paper cites The stacks project.

Algebraicity and integrality of solutions to differential equations The stacks project

Reference 1994

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.796985Z

Source-reported events for the cited work

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

Observation 688e5ba5-9bda-41d8-a6eb-f33b3a45ff76 · outbound

This paper cites Periodic de Rham bundles over curves.

Algebraicity and integrality of solutions to differential equations Periodic de Rham bundles over curves

Reference 1999

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.506254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a150cd7a-4429-4cfa-97d5-9bcee670dec5 · outbound

This paper cites Algebraic solutions of linear differential equations: an arithmetic approach.

Algebraicity and integrality of solutions to differential equations Algebraic solutions of linear differential equations: an arithmetic approach

Reference 2004

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:36:00.788300Z

Source-reported events for the cited work

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

Observation dece4da4-9bf4-449e-a0ae-26be261d8695 · outbound

This paper cites Harmonic bundles on quasi-compact Kaehler manifolds.

Algebraicity and integrality of solutions to differential equations Harmonic bundles on quasi-compact Kaehler manifolds

Reference 2005

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:36:00.623811Z

Source-reported events for the cited work

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

Observation 45de2534-001f-466f-945d-252d99fb039b · outbound

This paper cites (p.18 of 71pp slides I II, S ummarised in this paper, p.24).

Algebraicity and integrality of solutions to differential equations (p.18 of 71pp slides I II, S ummarised in this paper, p.24)

Reference 2006

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.875623Z

Source-reported events for the cited work

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

Observation 7a0ddaa4-45da-495e-a23e-2d0c6c15a6c9 · outbound

This paper cites Applica tions of Pad´ e approximations to the Grothendieck conjecture on linear differential equations.

Algebraicity and integrality of solutions to differential equations Applica tions of Pad´ e approximations to the Grothendieck conjecture on linear differential equations

Reference 2008

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.867000Z

Source-reported events for the cited work

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

Observation 8d041b28-bd5b-44a8-9512-97fd24c61ef2 · outbound

This paper cites The Hodge ﬁltration on nonabelian cohomolo gy , algebraic geometry–Santa Cruz 1995, 217–281.

Algebraicity and integrality of solutions to differential equations The Hodge ﬁltration on nonabelian cohomolo gy , algebraic geometry–Santa Cruz 1995, 217–281

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.806060Z

Source-reported events for the cited work

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

Observation 1dd3f001-aab6-4d07-a8e4-3d7e4c104b9e · outbound

This paper cites ¨Uber einige Anwendungen diophantischer Approximationen: Abhandlungen der Preußischen Akademie der Wissenschaften.

Algebraicity and integrality of solutions to differential equations ¨Uber einige Anwendungen diophantischer Approximationen: Abhandlungen der Preußischen Akademie der Wissenschaften

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:36:00.814686Z

Source-reported events for the cited work

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

Observation d4abdd1a-a5fe-4e43-baca-e11da937e1fb · outbound

This paper cites Motives, mapping class groups, and monodromy.

Algebraicity and integrality of solutions to differential equations Motives, mapping class groups, and monodromy

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.512992Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9189125-f724-4d85-8850-5cf41a03801c · outbound

This paper cites Crystalline cohomology and de Rham cohomology.

Algebraicity and integrality of solutions to differential equations Crystalline cohomology and de Rham cohomology

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-10T16:36:00.472603Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fb24ff3-a800-4b69-aa02-717593fb0dd9 · outbound

This paper cites Canonical representations of surface groups.

Algebraicity and integrality of solutions to differential equations Canonical representations of surface groups

Reference 2024

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:36:00.575179Z

Source-reported events for the cited work

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

Pith citing papers

Observation 8c5eb845-6652-41c0-82f2-a3bd79b77b41 · inbound

Density of integral points in the Betti moduli of quasi-projective varieties cites this paper.

Density of integral points in the Betti moduli of quasi-projective varieties Algebraicity and integrality of solutions to differential equations

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T21:46:56.444703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 315fbdda-e288-4684-8e45-7a62b2cd71d8 · inbound

Nonabelian Kodaira-Spencer maps cites this paper.

Nonabelian Kodaira-Spencer maps Algebraicity and integrality of solutions to differential equations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-05T04:42:50.199451Z

Source-reported events for the cited work

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