Paper Citation Record · LEDGER

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2606.12229.

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

pith.paper-citation-record.v1
2606.12229 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-12T14:18:11.354143Z

measured 13 of 13 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.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

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unresolved13
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External citation measurements

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Outbound references

Observation 8570efa5-56e9-4cef-909a-f19efe14b58f · outbound

This paper cites Bhatt , On the Direct Summand Conjecture and Its Derived Variant , Inventiones mathematicae , 212 (2) ( 2018 ) 297 -- 317.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Bhatt , On the Direct Summand Conjecture and Its Derived Variant , Inventiones mathematicae , 212 (2) ( 2018 ) 297 -- 317

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7ea784eb-ed7f-4392-a013-0abeea328a87 · outbound

This paper cites Bhatt , Torsion Completions Are Bounded , Journal of Pure and Applied Algebra , 223 (5) ( 2019 ) 1940 -- 1945.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Bhatt , Torsion Completions Are Bounded , Journal of Pure and Applied Algebra , 223 (5) ( 2019 ) 1940 -- 1945

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9aaa0977-074c-4113-9f66-b6144753395b · outbound

This paper cites Bhatt , Aspects of p -Adic Hodge Theory , ( 2025 ).

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Bhatt , Aspects of p -Adic Hodge Theory , ( 2025 )

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8771ecaa-e15c-4670-ad60-09d939bc84ee · outbound

This paper cites Bhatt and P.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Bhatt and P

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb82914f-debe-4ce3-815f-3f9e53cb5b5c · outbound

This paper cites Česnavičius and P.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Česnavičius and P

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0453fe76-cf17-40fe-ae0b-b33dd5ea0282 · outbound

This paper cites Dine and R.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Dine and R

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a02d9fa-c616-47da-a441-9fb5491df931 · outbound

This paper cites Decomposition Theorem for Perfectoid Rings along General Ideals.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Decomposition Theorem for Perfectoid Rings along General Ideals

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 661ec4e6-70ad-4e7b-a3ab-d6d81c52a49b · outbound

This paper cites Ishizuka , A Calculation of the Perfectoidization of Semiperfectoid Rings , Nagoya Mathematical Journal , 255 ( 2024 ) 742 -- 759.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Ishizuka , A Calculation of the Perfectoidization of Semiperfectoid Rings , Nagoya Mathematical Journal , 255 ( 2024 ) 742 -- 759

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 095ac943-f53e-4054-9e53-c9dab551c9ba · outbound

This paper cites Lang , Algebra , Graduate Texts in Mathematics , 3 ( 2002 ) Springer New York, NY.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Lang , Algebra , Graduate Texts in Mathematics , 3 ( 2002 ) Springer New York, NY

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c68a122-3f13-4d29-987b-53f9a135207c · outbound

This paper cites an unresolved cited work.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f466bc2a-b51d-4afc-b444-fbbbb983a8e9 · outbound

This paper cites Reinecke , Moduli of Curves at Infinite Level , thesis ( 2020 ).

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring Reinecke , Moduli of Curves at Infinite Level , thesis ( 2020 )

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39ae6458-f34f-449e-8be6-661df676f78f · outbound

This paper cites The root closure of a ring of mixed characteristic.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring The root closure of a ring of mixed characteristic

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f507d8a3-9f20-48bb-95ab-6f4ee4f8fffd · outbound

This paper cites https://stacks.math.columbia.edu.

On Perfectoidizaiton of Finite Algebras over a Perfectoid Ring https://stacks.math.columbia.edu

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-12T14:18:11.354143Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.