Paper Citation Record · LEDGER

Factoring maps to big Cohen-Macaulay algebras through blowups

As of 8 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2607.08965.

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

pith.paper-citation-record.v1
2607.08965 v1

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T05:27:19.497571Z

measured 30 of 30 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

30 of 30 outbound references displayed

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unresolved30
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Outbound references

Observation 92bf25b1-e374-4844-bd16-997c1c834128 · outbound

This paper cites Andr\' e : La conjecture du facteur direct, Publ.

Factoring maps to big Cohen-Macaulay algebras through blowups Andr\' e : La conjecture du facteur direct, Publ

Reference 1

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Observation 576d5939-28f9-4e8d-8b75-426dceae2fb8 · outbound

This paper cites Andr\' e : Weak functoriality of C ohen- M acaulay algebras , J.

Factoring maps to big Cohen-Macaulay algebras through blowups Andr\' e : Weak functoriality of C ohen- M acaulay algebras , J

Reference 2

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Observation b250b07d-774a-46e1-b2ce-02b23fef7e24 · outbound

This paper cites Bhatt : Derived splinters in positive characteristic, Compos.

Factoring maps to big Cohen-Macaulay algebras through blowups Bhatt : Derived splinters in positive characteristic, Compos

Reference 3

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Observation b7585c87-f700-431b-8991-5adca307b09f · outbound

This paper cites Cohen-Macaulayness of absolute integral closures.

Factoring maps to big Cohen-Macaulay algebras through blowups Cohen-Macaulayness of absolute integral closures

Reference 4

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Observation ab6a1576-c39b-4da5-b60c-25bcd7595727 · outbound

This paper cites Test ideals in mixed characteristic: a unified theory up to perturbation.

Factoring maps to big Cohen-Macaulay algebras through blowups Test ideals in mixed characteristic: a unified theory up to perturbation

Reference 5

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Observation aa0999ea-9447-40bd-994b-55278a786436 · outbound

This paper cites Gabber : Notes on some t -structures , Geometric aspects of Dwork theory.

Factoring maps to big Cohen-Macaulay algebras through blowups Gabber : Notes on some t -structures , Geometric aspects of Dwork theory

Reference 6

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Observation c7e93d46-c131-4294-99f9-a70b30ba2d8c · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation cbf5cbc8-4b7d-4ccc-a887-3c5ada9a3cd6 · outbound

This paper cites Hartshorne : Residues and duality, Lecture notes of a seminar on the work of A.

Factoring maps to big Cohen-Macaulay algebras through blowups Hartshorne : Residues and duality, Lecture notes of a seminar on the work of A

Reference 8

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Observation 01e9e634-98e8-4e82-ae74-d75cb0319fd7 · outbound

This paper cites Heitmann and L.

Factoring maps to big Cohen-Macaulay algebras through blowups Heitmann and L

Reference 9

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Observation 0d479961-fba2-4e1b-bf71-76d333d45aa6 · outbound

This paper cites Hochster : Cohen- M acaulay modules , Conference on C ommutative A lgebra ( U niv.

Factoring maps to big Cohen-Macaulay algebras through blowups Hochster : Cohen- M acaulay modules , Conference on C ommutative A lgebra ( U niv

Reference 10

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Observation e1e0d120-508a-4260-a6c4-ab11167599be · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 11

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Observation 99147a66-a0fe-4adc-875c-adf1297dd42e · outbound

This paper cites Hochster and C.

Factoring maps to big Cohen-Macaulay algebras through blowups Hochster and C

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 9af5aef5-7348-403d-9a96-0cb267c53920 · outbound

This paper cites Hochster and C.

Factoring maps to big Cohen-Macaulay algebras through blowups Hochster and C

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 96982fb1-cab0-422b-854c-b42d602e15ff · outbound

This paper cites Huneke and G.

Factoring maps to big Cohen-Macaulay algebras through blowups Huneke and G

Reference 14

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Observation d5316556-6d11-41f6-8141-27bcd0e65cea · outbound

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Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 15

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Observation c641e2ee-52d7-43c1-aba6-75dc81f328c2 · outbound

This paper cites Lipman : Cohen- M acaulayness in graded algebras , Math.

Factoring maps to big Cohen-Macaulay algebras through blowups Lipman : Cohen- M acaulayness in graded algebras , Math

Reference 16

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Observation 286487e8-47b2-4fa6-9edd-980ed7712308 · outbound

This paper cites On some properties of birational derived splinters.

Factoring maps to big Cohen-Macaulay algebras through blowups On some properties of birational derived splinters

Reference 17

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Observation e5dba1de-fb80-41b1-93f2-c58fa79789c5 · outbound

This paper cites The Brian\c{c}on-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings.

Factoring maps to big Cohen-Macaulay algebras through blowups The Brian\c{c}on-Skoda theorem for pseudo-rational and Du Bois singularities and uniformity in excellent rings

Reference 18

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Observation 4a6add47-48ec-4dbc-b14b-2b14ff9a8830 · outbound

This paper cites Ma and K.

Factoring maps to big Cohen-Macaulay algebras through blowups Ma and K

Reference 19

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Observation 568cbaeb-2e2a-4bb9-9908-e3d2e62f9c3e · outbound

This paper cites The Brian\c{c}on-Skoda Theorem via weak functoriality of big Cohen-Macaulay algebras.

Factoring maps to big Cohen-Macaulay algebras through blowups The Brian\c{c}on-Skoda Theorem via weak functoriality of big Cohen-Macaulay algebras

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 9de7fc45-24cc-45eb-93f7-4ce374e69912 · outbound

This paper cites Schoutens : Canonical big C ohen- M acaulay algebras and rational singularities , Illinois J.

Factoring maps to big Cohen-Macaulay algebras through blowups Schoutens : Canonical big C ohen- M acaulay algebras and rational singularities , Illinois J

Reference 21

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Observation 2c6b076f-23c0-4c89-b81f-a0a4dc751e94 · outbound

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Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 22

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Observation 9714c223-9e22-4622-b8c9-8122a69fb5dd · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 79633e8a-a9c2-4fa2-85a8-ebe0ac740d05 · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 92e8f107-b513-4892-9e7c-eb926783b18f · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 2b47b436-ad3a-4f39-a6b8-1f21c05b4ca9 · outbound

This paper cites an unresolved cited work.

Factoring maps to big Cohen-Macaulay algebras through blowups Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-13T05:27:19.497571Z

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Observation 79fe9773-3a50-49c5-92db-04b1f660d5c9 · outbound

This paper cites Stacks Project Authors : Stacks Project.

Factoring maps to big Cohen-Macaulay algebras through blowups Stacks Project Authors : Stacks Project

Reference 27

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Observation 301d6342-b597-4d15-bc7a-9d9cff129d53 · outbound

This paper cites Takeuchi : On localizations of a balanced big C ohen- M acaulay module , Kobe J.

Factoring maps to big Cohen-Macaulay algebras through blowups Takeuchi : On localizations of a balanced big C ohen- M acaulay module , Kobe J

Reference 28

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Observation 17ff5333-80bf-447c-910d-d5b63473004f · outbound

This paper cites Zarzuela : Balanced big C ohen- M acaulay modules and localization , (1983), Universitat de Barcelona, https://hdl.handle.net/2445/151426.

Factoring maps to big Cohen-Macaulay algebras through blowups Zarzuela : Balanced big C ohen- M acaulay modules and localization , (1983), Universitat de Barcelona, https://hdl.handle.net/2445/151426

Reference 29

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Observation 0d15875f-82f6-4deb-bc36-f1ff777e7327 · outbound

This paper cites Zarzuela : Balanced big C ohen- M acaulay modules and flat extensions of rings , Math.

Factoring maps to big Cohen-Macaulay algebras through blowups Zarzuela : Balanced big C ohen- M acaulay modules and flat extensions of rings , Math

Reference 30

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Pith citing papers

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