Paper Citation Record · LEDGER

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras

As of 19 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2504.21180.

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

pith.paper-citation-record.v1
2504.21180 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:15:28.669546Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy9
unresolved11
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External citation measurements

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Outbound references

Observation 98951f53-e49b-4d14-8616-d64f9de46026 · outbound

This paper cites Four-Dimensional N ilpotent Diassociative Algebras Journal of Generalized Lie Theory and Applications, V ol.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Four-Dimensional N ilpotent Diassociative Algebras Journal of Generalized Lie Theory and Applications, V ol

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.845799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aa86de02-e2c3-464c-b93d-6c653f3d2ae9 · outbound

This paper cites ´El´ ements de math´ ematiques, Alg` ebre, Hermann ( (1959)).

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras ´El´ ements de math´ ematiques, Alg` ebre, Hermann ( (1959))

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.837606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6aabed08-30c0-4f7d-9cc5-bbccb25537dd · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.829667Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a9c862ea-e3cb-4443-85c9-e309a99de8fd · outbound

This paper cites Indecomposable representations.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Indecomposable representations

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.821283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aec27755-b6aa-4eb8-826b-a159c7041150 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.813709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3d3df211-5b23-4793-bd7d-885c70f79200 · outbound

This paper cites and Khakimdjanov Y.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras and Khakimdjanov Y

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.805541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 395b470e-b4d7-402e-9b70-9c25adea8128 · outbound

This paper cites A, lassiﬁcation of nilpotent associative alge bras of small dimension, C.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras A, lassiﬁcation of nilpotent associative alge bras of small dimension, C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.797388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1919867f-a3db-44e2-bfe1-df32afe2882a · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.789555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea2554ca-0bdb-411f-8dca-97a2e2ec492d · outbound

This paper cites The g eometric classiﬁcation of 2-step nilpotent algebras and ap plica- tions.Linear and Multilinear Algebra, 70(8), 1553–1570.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras The g eometric classiﬁcation of 2-step nilpotent algebras and ap plica- tions.Linear and Multilinear Algebra, 70(8), 1553–1570

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.781637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e203e9a3-2515-4771-bd02-de557fce6f35 · outbound

This paper cites Classification of five-dimensional symmetric Leibniz algebras.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Classification of five-dimensional symmetric Leibniz algebras

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-16T05:15:28.576611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e028af49-3af6-4e84-9a35-01edbc6f45f7 · outbound

This paper cites Lie algebras.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Lie algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.773465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0300e960-f59d-4a94-92bc-53d3feaaf382 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.765597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 74ede6e6-3d4c-409c-bb04-1aefcbf62876 · outbound

This paper cites In Paul Dubreil and Marie-Paule Malliavin Algebra Seminar (pp.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras In Paul Dubreil and Marie-Paule Malliavin Algebra Seminar (pp

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.757524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2a14732-a433-4caf-ab6c-86bf849d5a5c · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:15:28.653090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43f920ad-cf96-47e6-bfec-0b67a5941e72 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.748239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 30a5bf25-1669-43de-9df2-773358c65049 · outbound

This paper cites The algebraic and geomeric classiﬁcation o f associative algebras of dimension ﬁve, Mathematica, V ol.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras The algebraic and geomeric classiﬁcation o f associative algebras of dimension ﬁve, Mathematica, V ol

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:15:28.739445Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cbae817e-fd46-4b7f-84e4-388d95316306 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.730127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a554738f-73c6-455b-becf-a19ed2d63f35 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.721621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cbdf1ee1-98bb-4019-ab3d-0508b4ce8af9 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.712899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f294aebc-97b8-4c5a-be16-e4d8e52090e1 · outbound

This paper cites an unresolved cited work.

Derivations, Centroids and Iner-Derivations of $\textbf{5}$-Dimensional Nilpotent Complex Associative Algebras Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:15:28.704255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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