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Paper Citation Record · LEDGER

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras

As of 21 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2504.15064.

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

pith.paper-citation-record.v1
2504.15064 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:44:14.596885Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:38:58.085246Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T05:38:58.217555Z

Reference resolution

31 of 31 outbound references displayed

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  • verified fuzzy1
  • unresolved30
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 62245b8c-2dc1-4cb4-a4d3-a6401602b158 · outbound

This paper cites L., & Militaru, G.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras L., & Militaru, G

Reference 2

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 680c3962-9424-466c-9b84-b689e304b0e6 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.465900Z digest=sha256:c3eeefe0a9f1332fd96ceac70f6dae6aa207cb944be788c54ed6c2cc7c26eef7

Observation 06a53195-068b-49ca-b30e-0017b649c9f2 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.470391Z digest=sha256:dcd937c329223be7f71c80aef7bb166185452db79ba6c8cccc79244774451d1d

Observation bd29c9f8-3b82-48b0-93b7-14da24f5f276 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 5

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.475096Z digest=sha256:88e7749baf8029f70ce7787eeb25d107aa4e2fba4e8e3e5c824eb2211928a0ba

Observation d633b18f-b0c7-48b3-8ad7-34f44bc40f2b · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 6

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.479606Z digest=sha256:2429e3c82d6693bb8bfcaef466c3a91b67cf025b2d632fea56f9379f1f2db1f3

Observation 3f8c10c4-f6a5-4026-bf57-993b0d77a005 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.484331Z digest=sha256:cbe054012de6f9db1c087caa43ef8a72d9c8e3e1b39f4884f93bbb49bbb69f81

Observation c380a7ec-8875-49b1-8a17-d3b58753730a · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 8

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.488525Z digest=sha256:28d1d160a4fd009f7431f5fa2b1063a29a4a2e368fc2bf009092804b0d15bf89

Observation 8fa70d61-5e91-4392-a7ef-570242c96b49 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.492666Z digest=sha256:34bec95dd8ebd9d2f048d02ca60eda6de551591997487c48eb64b845930d225a

Observation 3bd23d01-e4cc-46ca-9d5f-83356b36b59c · outbound

This paper cites Cohomology of compatible BiHom-Lie algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Cohomology of compatible BiHom-Lie algebras

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.496900Z digest=sha256:98330d93f24afecca41c8bd3fac4cfa592d407f00e8f6f6d04b2dc8c4955b713

Observation baacb69b-2010-418b-941e-dc4890a1b0d0 · outbound

This paper cites Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Classification, Derivations and Centroids of Low-Dimensional Complex BiHom-Trialgebras

Reference 12

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source=pdf_text observed=2026-08-16T11:44:14.505931Z digest=sha256:05b2fb47cd78b8aab89c91b24663cf47c41ddc65a05173a76a108404181c92e9

Observation 16fec536-984c-4fa6-ad72-07153808a6cf · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-16T11:44:14.510253Z digest=sha256:b2592ea0138dbc90c0544160f402443b2ec62bec1bdc7c29be67515dfdb8a165

Observation 2e16992f-732d-40ba-be40-1657acd9d1c2 · outbound

This paper cites Classification of tridendriform algebra and related structures.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Classification of tridendriform algebra and related structures

Reference 14

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.514489Z digest=sha256:157675b599706611ab1ca6b151d1d8c1cf1a78372e2bd1bbf8e475cc5aecc5ed

Observation 7a529f46-f68e-40a7-a0c1-55362e959f0e · outbound

This paper cites Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Quasi-Centroids and Quasi-Derivations of Low Dimensional Associative Algebras

Reference 15

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.519055Z digest=sha256:de50642ae8f224a5e03c753ea57d2ba454390aff3e5be23298b0b6f06d233733

Observation 679eb97d-9b81-4cb7-8e9a-7abf638bd091 · outbound

This paper cites Cohomology and deformation theory of $\mathcal{O}$-operators on Hom-Lie conformal algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Cohomology and deformation theory of $\mathcal{O}$-operators on Hom-Lie conformal algebras

Reference 16

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.523727Z digest=sha256:8e148c380d1c1bcb63be1293d9b09016db939d8b4ee04e170895241d9f540d8f

Observation cfbe536d-088c-4d79-8a31-0e426e3ca702 · outbound

This paper cites On structures of BiHom-Superdialgebras and their derivations.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras On structures of BiHom-Superdialgebras and their derivations

Reference 17

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T11:44:14.528230Z digest=sha256:5fb38e1bc8ddd62b586e255e98149b2928da5d0f040552f0fe78126c563db14a

Observation dc2743bd-53ac-4726-9983-49a4d820ad5a · outbound

This paper cites Generalized derivations of BiHom-supertrialgebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Generalized derivations of BiHom-supertrialgebras

Reference 18

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T11:44:14.532487Z digest=sha256:6f9af684d831382cece87ae3a939bd5c71859ef4017181a4fac98d9a6c4381f3

Observation 2506dffd-da3d-49f3-806f-c6725ca90796 · outbound

This paper cites Cohomology of BiHom-Associative Trialgebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Cohomology of BiHom-Associative Trialgebras

Reference 19

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no resolver link, observed 2026-08-16T11:44:14.536771Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.536771Z digest=sha256:58b9c1e9b576869f8881fcf9117a772c7d920d0351b5437ef629711e61aa92d9

Observation ddc22839-ad3f-4d04-9411-539112ef334c · outbound

This paper cites Compatible Associative Algebras and Some Invariants.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Compatible Associative Algebras and Some Invariants

Reference 20

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T11:44:14.541192Z digest=sha256:1edb919b81e82a31b234f74b69994ee68081578107aecff0fef1fe6ffb05302b

Observation f47fcc31-0e5a-439e-bfd4-ac641acfc9a0 · outbound

This paper cites Classification of ($\rho,\tau,\sigma$)-derivations of two-dimensional left-symmetric dialgebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Classification of ($\rho,\tau,\sigma$)-derivations of two-dimensional left-symmetric dialgebras

Reference 21

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source=pdf_text observed=2026-08-16T11:44:14.545744Z digest=sha256:98545df64def3588bd56aa9bcd2f302cd4477be8b71b3f3781377948ddcb18f3

Observation 0d8d2054-e0ef-43b5-9f08-9c13fc25a5f9 · outbound

This paper cites Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Quasi-Centroids and Quasi-Derivations of low-dimensional Zinbiel algebras

Reference 22

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source=pdf_text observed=2026-08-16T11:44:14.550077Z digest=sha256:ea29e08628ff6014c95709adcd3bddd987577c6b57ec7d435510c033edf5e33d

Observation 7b2ada26-2a68-4b7d-a950-2ffb6c786d99 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-16T11:44:14.554557Z digest=sha256:e118b049f9189f2b8e44e7bcc29b8a981117bbf778757605c2af5a041f052e72

Observation c69fb051-e1b3-4123-9d6b-68e443541800 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-16T11:44:14.558647Z digest=sha256:1a00f367f2c1639465da10f91f51640cfc3bcd8b51d91b0c2ceffbc8922fad93

Observation 5f051559-b642-4224-84cb-1c4baf7f6632 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-16T11:44:14.562876Z digest=sha256:a858cacfade1c8a6a305234789a497cb02b8b199af6f36e25774ae920ae3c5fd

Observation 52591d9a-cfdf-4727-86fe-a1b6a2cfd783 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-16T11:44:14.566926Z digest=sha256:f103574b1ce33979bbcf2901cc6a6c458a0926dd74d7624f270e704fa2f2077b

Observation d46842a3-a683-48db-8bdd-387d4ee05ce6 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-16T11:44:14.571103Z digest=sha256:297288f15acd45713654463086abd7d5cf22d56e3f703d1e168b81e2ed073acd

Observation c83e6e6b-fcc9-499b-abd2-aaf25c387040 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-16T11:44:14.575006Z digest=sha256:42f9c5ca6f48d47bc42595cf43a756b50caef9ad069fcccd72db60dd296b8777

Observation 389b1844-521d-4bdc-8572-ec72a88b1103 · outbound

This paper cites Z., & MOSBAHI, B.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Z., & MOSBAHI, B

Reference 29

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source=pdf_text observed=2026-08-16T11:44:14.579527Z digest=sha256:b8c4b4a32558854f0a50bb193017f699d5b71aa8622ef8d3795ea51e568e8baf

Observation 0631ea2f-e455-43e8-ae02-a7972b69eed9 · outbound

This paper cites an unresolved cited work.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Unresolved cited work

Reference 30

Resolution
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raw_fallback, observed 2026-08-16T11:44:14.938974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T11:44:14.583541Z digest=sha256:b3fbcc9f3b8a29296aa93fb28be77f9fc847cad8b681830768756e923a79c8cf

Observation 6d0cdad5-5ca1-4944-b395-0a8b29f78b28 · outbound

This paper cites On BiHom-Associative dialgebr as.Open Journal of Mathematical Sciences, Vol.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras On BiHom-Associative dialgebr as.Open Journal of Mathematical Sciences, Vol

Reference 31

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T11:44:14.588480Z digest=sha256:ced02e83623d5681c34e1e934ffe85f0571aa1bba34e6c6d4f4bfbf683fe7d1c

Observation 0fac6470-8687-4954-952f-29c5fd68e400 · outbound

This paper cites Central derivations of low-dimensional Zinbiel algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Central derivations of low-dimensional Zinbiel algebras

Reference 32

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.592635Z digest=sha256:fab247bcb12988d302f012b56d09e27c8c3fe9ba06d6fff3a8bb2ed47eb17fb6

Observation 1a3fa745-bcb4-45dc-9e63-9960c8d1878f · outbound

This paper cites Rota-type operators on 2-dimensional dendriform algebras.

Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras Rota-type operators on 2-dimensional dendriform algebras

Reference 33

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:44:14.596885Z digest=sha256:9a6ec632f92dd131b96c71e1e0399d68fcbd6d13c1afba1a614052fa0f6bf87d

Pith citing papers

Observation 8d162daa-a50b-4d0b-aa2b-4ec382758649 · inbound

Rota-Type Operators on 2-Dimensional Pre-Lie Algebras cites this paper.

Rota-Type Operators on 2-Dimensional Pre-Lie Algebras Matrix Representations of Derivations for Low-Dimensional Mock-Lie Algebras

Reference 37

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local_arxiv, observed 2026-08-16T05:38:58.224757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-16T05:38:58.085246Z digest=sha256:40cc18f15d0665a3b8f79942965557362c46a51f3f4dfa3a872e70e6ed9d80f3