Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:41:40.691281Z
Paper Citation Record · LEDGER
An introduction to the algebra of rings and fields
As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2508.13165.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact7
- verified fuzzy7
- unresolved5
- parse uncertain1
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 00f98322-83e1-4603-acbb-64f782744908 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:41:41.534523Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ee781808-c6b2-418e-8841-9bb156133186 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 4
- Resolution
- parse uncertain
- raw_fallback, observed 2026-08-06T10:41:41.451357Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 51ffaf44-4ddd-4a18-9e4f-fddcf0375d3e · outbound
This paper cites Dummit, Richard M.
An introduction to the algebra of rings and fields Dummit, Richard M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.493500Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8bd829a3-84c9-433a-ac77-eeec269522a3 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 9
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:41.291174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 35347a73-d978-4ebe-9abf-3ccf34ccf7bf · outbound
This paper cites Galois Theory.
An introduction to the algebra of rings and fields Galois Theory
Reference 11
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T10:41:41.210103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 3c26fccf-6630-4f1b-8392-79738ba4fe99 · outbound
This paper cites McNulty, Algebra for First Year Graduate Students, 10 Jan- uary.
An introduction to the algebra of rings and fields McNulty, Algebra for First Year Graduate Students, 10 Jan- uary
Reference 13
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:41.112043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ce7e64bb-9f90-4838-b148-83837184a9e7 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 19
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:40.936119Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 38f1ab58-516c-495f-804b-945206b76252 · outbound
This paper cites [KeeGui20] Patrick Keef, David Guichard, An Introduction to Higher Mathemat- ics, 13 May.
An introduction to the algebra of rings and fields [KeeGui20] Patrick Keef, David Guichard, An Introduction to Higher Mathemat- ics, 13 May
Reference 246
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.466285Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2fd51cc1-bd62-4a1c-afa6-2ec6f3ca3c81 · outbound
This paper cites Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missed.
An introduction to the algebra of rings and fields Representing Primes as x^2 + 5y^2: An Inductive Proof that Euler Missed
Reference 1986
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T10:41:40.742413Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec51d31b-e451-4078-ac04-9b7aab3f81e5 · outbound
This paper cites 1 (Jan., 1952), pp.
An introduction to the algebra of rings and fields 1 (Jan., 1952), pp
Reference 1990
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.407831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2472dc9c-31ae-43d5-bda8-e4834634a3f6 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 1996
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T10:41:41.421920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 612a44f0-3516-4b83-afb8-9ca91a8d9a87 · outbound
This paper cites Rotman, Advanced Modern Algebra: Third Edition, Part 1 and Part 2 , Graduate Studies in Mathematics 165 and 180, AMS 2015 and.
An introduction to the algebra of rings and fields Rotman, Advanced Modern Algebra: Third Edition, Part 1 and Part 2 , Graduate Studies in Mathematics 165 and 180, AMS 2015 and
Reference 2002
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.436872Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dcd60727-579b-4de3-a3f3-cfa4c627382a · outbound
This paper cites [Edward22] Harold M.
An introduction to the algebra of rings and fields [Edward22] Harold M
Reference 2004
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.480512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4d4c288e-7d20-40de-89ec-1e8379fb9349 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 2005
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:41:40.682907Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 44de2221-d711-4a67-ba2c-c2f95044589a · outbound
This paper cites On an identity of Sylvester.
An introduction to the algebra of rings and fields On an identity of Sylvester
Reference 2007
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T10:41:40.955676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation e8a6abe6-773f-4da9-8d45-a0b6a394a066 · outbound
This paper cites Cox, Galois Theory, 2nd edition, Wiley.
An introduction to the algebra of rings and fields Cox, Galois Theory, 2nd edition, Wiley
Reference 2015
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:41:40.611741Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 34fac1a5-06d9-4c41-a5ca-514ec0e23032 · outbound
This paper cites Notes on the combinatorial fundamentals of algebra.
An introduction to the algebra of rings and fields Notes on the combinatorial fundamentals of algebra
Reference 2016
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T10:41:40.629900Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5c041b25-d22d-494e-80e9-04fda193a46c · outbound
This paper cites Gallian, Contemporary Abstract Algebra, 10th edition, CRC Press.
An introduction to the algebra of rings and fields Gallian, Contemporary Abstract Algebra, 10th edition, CRC Press
Reference 2019
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:41.393943Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d49e2c81-e82a-4919-adde-3b6f4d8611a7 · outbound
This paper cites an unresolved cited work.
An introduction to the algebra of rings and fields Unresolved cited work
Reference 2020
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:41.191557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 0f99754d-3555-46bf-9f56-f186384e891b · outbound
This paper cites 4 (April 2011), pp.
An introduction to the algebra of rings and fields 4 (April 2011), pp
Reference 2021
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.507241Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d454c6e0-446c-4d84-aa3f-22435b740f43 · outbound
This paper cites [MulMum07] Gary L.
An introduction to the algebra of rings and fields [MulMum07] Gary L
Reference 2023
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T10:41:41.040314Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 9d9310c1-cf6d-45ea-8d5d-0ec3b11dc6fe · outbound
This paper cites https://www.cip.ifi.lmu.de/~grinberg/t/21w/ [Aluffi16] Paolo Aluffi, Algebra: Chapter 0 , Graduate Studies in Mathematics 104, 2nd printing, AMS.
An introduction to the algebra of rings and fields https://www.cip.ifi.lmu.de/~grinberg/t/21w/ [Aluffi16] Paolo Aluffi, Algebra: Chapter 0 , Graduate Studies in Mathematics 104, 2nd printing, AMS
Reference 2025
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T10:41:41.520916Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.