Paper Citation Record · LEDGER

(Locally) Associated Subrings in Polynomial and Power Series Extensions

As of 16 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 0 inbound Pith citation observations for arXiv:2608.07741.

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

pith.paper-citation-record.v1
2608.07741 v1

Coverage vector

measured 24 of 24 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:30:45.148512Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

24 of 24 outbound references displayed

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verified fuzzy13
unresolved11
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External citation measurements

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Outbound references

Observation 2fffaf4f-4a73-40a7-bf50-efb775c11bd2 · outbound

This paper cites Anderson, David F.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Anderson, David F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.407755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0d5fd756-7566-4af2-822e-7aa8d5248a57 · outbound

This paper cites Anderson, David F.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Anderson, David F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.397169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 86360771-26fd-42f4-a25e-322893cfe2c2 · outbound

This paper cites Elasticity in polynomial-type extensions.Proceedings of the Edinburgh Mathematical Society, 59:581 – 590, 2013.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Elasticity in polynomial-type extensions.Proceedings of the Edinburgh Mathematical Society, 59:581 – 590, 2013

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.385843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6f82a47f-ccfa-4e43-9f2f-b0711353c40e · outbound

This paper cites A characterization of algebraic number fields with class number two.Proceedings of the American Mathematical Society, 11(3):391, 1960.

(Locally) Associated Subrings in Polynomial and Power Series Extensions A characterization of algebraic number fields with class number two.Proceedings of the American Mathematical Society, 11(3):391, 1960

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.375023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation d324222d-bde4-4a8b-ba06-f90e24607f40 · outbound

This paper cites TheA+XB[X] construction from Pr¨ uferv-multiplication domains.Journal of Algebra, 439:417–437, 2015.

(Locally) Associated Subrings in Polynomial and Power Series Extensions TheA+XB[X] construction from Pr¨ uferv-multiplication domains.Journal of Algebra, 439:417–437, 2015

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.363388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6b9ca1b0-6e38-4740-8733-058e373a0c56 · outbound

This paper cites Chapman, Marco Fontana, Alfred Geroldinger, and Bruce Olberding.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Chapman, Marco Fontana, Alfred Geroldinger, and Bruce Olberding

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.352215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bb1d1edd-9f33-4f66-88d2-40509f493c94 · outbound

This paper cites Class group and factorization in orders of a PID.Journal of Number Theory, 265:226– 269, 2024.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Class group and factorization in orders of a PID.Journal of Number Theory, 265:226– 269, 2024

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.341618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation e1ec130c-b6e3-4f55-b9ce-4369d19ba773 · outbound

This paper cites The conductor ideal of an order.Expository Paper, 2019.https://kconrad.math.uconn.

(Locally) Associated Subrings in Polynomial and Power Series Extensions The conductor ideal of an order.Expository Paper, 2019.https://kconrad.math.uconn

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.088852Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4befbd27-2b24-4d5d-a638-77143d8b0137 · outbound

This paper cites Elasticity in orders of an algebraic number field with radical conductor ideal and their rings of formal power series.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Elasticity in orders of an algebraic number field with radical conductor ideal and their rings of formal power series

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.092378Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2bee2ef4-0e78-4a1e-8581-aa85bd3f5d1e · outbound

This paper cites Extensions of half-factorial domains: A survey.Arithmetical Properties of Commutative Rings and Monoids, page 46–70, 2005.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Extensions of half-factorial domains: A survey.Arithmetical Properties of Commutative Rings and Monoids, page 46–70, 2005

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.323055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 00c76036-692a-4ca6-b27c-859955330179 · outbound

This paper cites The half-factorial property and do- mains of the formA+XB[X].Houston Journal of Mathematics, 32(1):33–46, 01 2006.

(Locally) Associated Subrings in Polynomial and Power Series Extensions The half-factorial property and do- mains of the formA+XB[X].Houston Journal of Mathematics, 32(1):33–46, 01 2006

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.312012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 53ea2b2b-33f7-4d8c-a266-c6296ae27b09 · outbound

This paper cites Factorization in Pr¨ ufer domains.Glasgow Mathematical Journal, 60(2):401–409, 2018.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Factorization in Pr¨ ufer domains.Glasgow Mathematical Journal, 60(2):401–409, 2018

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.300793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3f93c699-e730-4418-82b0-a66a75714c66 · outbound

This paper cites Factorization theory in commutative monoids.Semigroup Fo- rum, 100(1):22–51, 2020.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Factorization theory in commutative monoids.Semigroup Fo- rum, 100(1):22–51, 2020

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.289846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 04aa67fa-ca19-4bd3-ae35-b940fc2727f0 · outbound

This paper cites On polynomial and power series rings over a commutative ring.Rocky Mountain Journal of Mathematics, 5(2):157–175, 1975.

(Locally) Associated Subrings in Polynomial and Power Series Extensions On polynomial and power series rings over a commutative ring.Rocky Mountain Journal of Mathematics, 5(2):157–175, 1975

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.278603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 307b7e1d-b995-45a0-a09a-3502040a8d06 · outbound

This paper cites On the ascent of almost and quasi-atomicity to monoid semidomains.

(Locally) Associated Subrings in Polynomial and Power Series Extensions On the ascent of almost and quasi-atomicity to monoid semidomains

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.115254Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 306dbc5d-786a-4915-97a5-59c19ff07136 · outbound

This paper cites Factorization of algebraic integers.Ber.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Factorization of algebraic integers.Ber

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.119414Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25f3de96-e5e2-4e21-a734-f6f80db00271 · outbound

This paper cites Elasticity of orders with prime conductor.Journal of Number Theory, 2025.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Elasticity of orders with prime conductor.Journal of Number Theory, 2025

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.122914Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7fcad3f-6a74-4117-827a-aa8fc9ca0c1b · outbound

This paper cites Elasticity of orders from theS-relative Davenport constant: an arithmetic application of a number-theoretic investigation, 2026.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Elasticity of orders from theS-relative Davenport constant: an arithmetic application of a number-theoretic investigation, 2026

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:30:45.252723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f23b4387-d3cd-4d12-aae6-6a3b0d8356ba · outbound

This paper cites an unresolved cited work.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.130564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 751e53c6-d0da-47b1-bf41-8ba9ebe59669 · outbound

This paper cites Multiplicative Relationships of Subrings and their Applications to Factorization.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Multiplicative Relationships of Subrings and their Applications to Factorization

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.134326Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d76f7c44-777c-42ad-8685-cd00701df8ea · outbound

This paper cites A note on elasticity of factorizations.Journal of Number Theory, 51:46–47, 1995.

(Locally) Associated Subrings in Polynomial and Power Series Extensions A note on elasticity of factorizations.Journal of Number Theory, 51:46–47, 1995

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.138586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcea394e-c8a5-47e8-af20-056c1b5f8d95 · outbound

This paper cites Springer, 1999.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Springer, 1999

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.142056Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12d330a0-1595-419b-9220-d1cfdbd9bc18 · outbound

This paper cites A characterization of half-factorial orders in algebraic number fields.Acta Arithmetica, 2023.

(Locally) Associated Subrings in Polynomial and Power Series Extensions A characterization of half-factorial orders in algebraic number fields.Acta Arithmetica, 2023

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.145368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27ece329-2741-4c40-8d46-efc737394c19 · outbound

This paper cites an unresolved cited work.

(Locally) Associated Subrings in Polynomial and Power Series Extensions Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T00:30:45.148512Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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