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Paper Citation Record · LEDGER

Crossed modules of ternary Leibniz algebras

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2501.18414.

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

pith.paper-citation-record.v1
2501.18414 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T23:42:02.036989Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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  • verified fuzzy18
  • unresolved8
  • parse uncertain0
  • malformed identifier1
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External citation measurements

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Outbound references

Observation bef70608-61d0-44bb-9e52-0736f4289675 · outbound

This paper cites Classification of 3-Dimensional Complex Diassociative Alg ebras, Malaysian Journal of Mathematical Sciences, V ol.

Crossed modules of ternary Leibniz algebras Classification of 3-Dimensional Complex Diassociative Alg ebras, Malaysian Journal of Mathematical Sciences, V ol

Reference 1

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Observation 1d7ae46c-afb7-4952-a20e-31f143821711 · outbound

This paper cites F our-Dimensional Nilpotent Diassociative AlgebrasJournal of Generalized Lie Theory and Applications, V ol.

Crossed modules of ternary Leibniz algebras F our-Dimensional Nilpotent Diassociative AlgebrasJournal of Generalized Lie Theory and Applications, V ol

Reference 2

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Observation e44338d0-2d94-441c-87e3-dc346487223e · outbound

This paper cites Dialgebras in Dialgebras and related operads , pp.

Crossed modules of ternary Leibniz algebras Dialgebras in Dialgebras and related operads , pp

Reference 3

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Observation e4fd4325-a348-4204-a30b-f78aa8170220 · outbound

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 4

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Observation c82028ca-7c38-48ea-bd63-2567d2c47392 · outbound

This paper cites A duality between standard simplices and Stasheff polytopes.

Crossed modules of ternary Leibniz algebras A duality between standard simplices and Stasheff polytopes

Reference 5

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Observation dd246c4b-c606-4935-906d-fb6e8ec9334e · outbound

This paper cites Trialgebras and families of polytopes.

Crossed modules of ternary Leibniz algebras Trialgebras and families of polytopes

Reference 6

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source=pdf_text observed=2026-08-09T23:42:01.901112Z digest=sha256:afa4ba141078bbb9052656bbcb5a01b84321d55f9b92a1656ebf9f45e78623b1

Observation 13336b17-7acf-4143-908c-fdddf558e8a4 · outbound

This paper cites (Co)homology of triassociative algebras , International Journal of Mathematics and Mathematical Sc i- ences, V ol.

Crossed modules of ternary Leibniz algebras (Co)homology of triassociative algebras , International Journal of Mathematics and Mathematical Sc i- ences, V ol

Reference 7

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Observation 30f2437c-8fda-4c86-9eb4-20f93e3027e1 · outbound

This paper cites of pure and Applied Math., No50, 503-513, 2023.

Crossed modules of ternary Leibniz algebras of pure and Applied Math., No50, 503-513, 2023

Reference 8

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Observation 75958725-0590-4aec-a4e9-a2f9bb78946e · outbound

This paper cites Kolesnikov, Grobner-Shirshov bases for replicated algebras, Algebra Colloquium 24(4) (2017) 563-576.

Crossed modules of ternary Leibniz algebras Kolesnikov, Grobner-Shirshov bases for replicated algebras, Algebra Colloquium 24(4) (2017) 563-576

Reference 9

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Observation 65a7217c-99ca-49af-9f65-967c80bf7647 · outbound

This paper cites Cohomology of BiHom-Associative Trialgebras.

Crossed modules of ternary Leibniz algebras Cohomology of BiHom-Associative Trialgebras

Reference 10

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Observation 041a813d-b910-4649-909f-c0f42fa1cc28 · outbound

This paper cites and Wu, Y.

Crossed modules of ternary Leibniz algebras and Wu, Y

Reference 11

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Observation ca4384d7-af82-4316-ba44-65fdf0660e40 · outbound

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

Crossed modules of ternary Leibniz algebras Classification of five-dimensional symmetric Leibniz algebras

Reference 12

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Observation f57d5a98-e737-4fbf-9348-7d4d43c15c13 · outbound

This paper cites Nijenhuis operators on Leibniz algebras.

Crossed modules of ternary Leibniz algebras Nijenhuis operators on Leibniz algebras

Reference 13

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Observation 4a199d13-10dd-4850-8be5-e5cc9013087f · outbound

This paper cites 25 (2) (2004) 29-38.

Crossed modules of ternary Leibniz algebras 25 (2) (2004) 29-38

Reference 14

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Observation 6f2bc48d-36c8-420a-b6c4-c9c5ba5f0f28 · outbound

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 15

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Observation f4bfb077-73ee-4d0d-8beb-c70aa1404809 · outbound

This paper cites More on crossed modules of Lie, Leibniz, associative and diassociative algebras.

Crossed modules of ternary Leibniz algebras More on crossed modules of Lie, Leibniz, associative and diassociative algebras

Reference 16

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Observation 62723b3b-0a6e-46bd-a3bd-bda563685dd7 · outbound

This paper cites Porter, Extensions, crossed modules and internal categories in cat egories of groups with operations , Proc.

Crossed modules of ternary Leibniz algebras Porter, Extensions, crossed modules and internal categories in cat egories of groups with operations , Proc

Reference 17

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Observation 8385eb6f-6054-4ac3-aaa1-f9d0089c1d66 · outbound

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Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 18

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Observation cba6554e-ccef-4b16-9f29-b6814b8dce48 · outbound

This paper cites and Y au D., Rota-Baxter Hom-Lie admissible algebras, Communication in Algebra, 23, no 3, 1231- 1257, 2014.

Crossed modules of ternary Leibniz algebras and Y au D., Rota-Baxter Hom-Lie admissible algebras, Communication in Algebra, 23, no 3, 1231- 1257, 2014

Reference 19

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Observation e2ab5d17-9daf-4033-ac2e-69175d87e181 · outbound

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Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 20

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Observation a6fe43fe-74bb-4d72-9683-ca20aa6ea2a5 · outbound

This paper cites Biderivations of low-dimensional Leibniz algebras.

Crossed modules of ternary Leibniz algebras Biderivations of low-dimensional Leibniz algebras

Reference 21

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Observation 3133e1cb-89ce-45fe-ac96-1bdfdd29b1f0 · outbound

This paper cites On Nilpotent Triassociative Algebras.

Crossed modules of ternary Leibniz algebras On Nilpotent Triassociative Algebras

Reference 22

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Observation 1a730c04-18d0-4e1c-a4d4-bb5b73585310 · outbound

This paper cites Classification of Low-dimensional Complex Triassociative Algebras.

Crossed modules of ternary Leibniz algebras Classification of Low-dimensional Complex Triassociative Algebras

Reference 23

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Observation 38b17cf9-3647-48ea-b2b6-1b27b85b1d5a · outbound

This paper cites Bremner, J.

Crossed modules of ternary Leibniz algebras Bremner, J

Reference 24

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source=pdf_text observed=2026-08-09T23:42:01.981635Z digest=sha256:01390a1f5b06c3e6549dd8aadf8ceb87d223d4fb90dd5e48fcff40b63d972254

Observation 1e72a046-e204-478b-aef8-cddcc3f1d5e3 · outbound

This paper cites Camacho, J.M.

Crossed modules of ternary Leibniz algebras Camacho, J.M

Reference 25

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source=pdf_text observed=2026-08-09T23:42:01.985661Z digest=sha256:7222b7b8bbe01ce56650d33bcb7f7e4e6a78a042cd68d933eb1c8d7c2e7f2a19

Observation a620daa0-bee5-4daa-9c4d-373775401492 · outbound

This paper cites Lister, A structure theory of Lie triple systems , Trans.

Crossed modules of ternary Leibniz algebras Lister, A structure theory of Lie triple systems , Trans

Reference 26

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Observation dc366bf6-fd05-4d85-852f-ff7f9b7a5f3e · outbound

This paper cites (2023), Ternary Leibniz color algebras and beyond , In: Hounkonou, M.N., Mitrovic, M., Abbas, M., Khan, M.

Crossed modules of ternary Leibniz algebras (2023), Ternary Leibniz color algebras and beyond , In: Hounkonou, M.N., Mitrovic, M., Abbas, M., Khan, M

Reference 27

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Observation 25fa6965-1376-465b-9f0f-00131d8646d4 · outbound

This paper cites Dokas, Cohomology of restrited Lie-Rinehart algebras, Adv.

Crossed modules of ternary Leibniz algebras Dokas, Cohomology of restrited Lie-Rinehart algebras, Adv

Reference 28

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source=pdf_text observed=2026-08-09T23:42:01.998566Z digest=sha256:0987dbcfc5bd82e38bd297828aa5b469ffc07d6f26dd9fb40b1a060c265c86c6

Observation 6ed763d0-f20b-4315-a739-8fa8c3b6f2df · outbound

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 29

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source=pdf_text observed=2026-08-09T23:42:02.002533Z digest=sha256:8483a65c26e04a5e8c902f6f7d7c46800ee3d5f31ead3046f4b0dab98a5c2740

Observation 35ad2d6d-5d89-499d-872a-1757c01f71b5 · outbound

This paper cites X., On the structure of n-Lie algebras , [PhD Thesis].

Crossed modules of ternary Leibniz algebras X., On the structure of n-Lie algebras , [PhD Thesis]

Reference 30

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source=pdf_text observed=2026-08-09T23:42:02.006562Z digest=sha256:97ff5ec55db350659a051398f21e80ddf0b124e38ce4dc43bda17ed49e5c20d5

Observation 3438ab85-fbd5-4a75-bf50-2f0f57652161 · outbound

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 31

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Observation bbc0cee3-aa3a-40d7-98fe-e57178863ba6 · outbound

This paper cites M., Trialgebras and Leibniz 3-algebras, Bol.

Crossed modules of ternary Leibniz algebras M., Trialgebras and Leibniz 3-algebras, Bol

Reference 32

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source=pdf_text observed=2026-08-09T23:42:02.015012Z digest=sha256:99e4122cf88a0c84362c41ebb91cb28f8def3a7498f75d6db0d9058d080e7835

Observation 5d724651-97b0-4368-9ed6-7c48fbeb9bf6 · outbound

This paper cites M., Loday J.-L.

Crossed modules of ternary Leibniz algebras M., Loday J.-L

Reference 33

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Observation 132cffa9-d32e-4f91-a541-dc6c4665e05a · outbound

This paper cites W., On Levi’s theorem for Leibniz algebras , Bull.

Crossed modules of ternary Leibniz algebras W., On Levi’s theorem for Leibniz algebras , Bull

Reference 34

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source=pdf_text observed=2026-08-09T23:42:02.023764Z digest=sha256:aa0eb969fd96175e183e4c6a8b4533a1871202daf41521d377c7efbe0d344c38

Observation 81d1c68f-31be-4cd9-9c72-7eb04b649b75 · outbound

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Crossed modules of ternary Leibniz algebras Unresolved cited work

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raw_fallback, observed 2026-08-09T23:42:02.524293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T23:42:02.027819Z digest=sha256:79a657e20e94b6db71391ea4b7fec25f63dba8e844d6b7516a0bf9f5da3206a6

Observation 820229ef-d7cc-43df-a758-8d5f121ff587 · outbound

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-09T23:42:02.510267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T23:42:02.032483Z digest=sha256:ac144bab2b337eb6a1b9934bdabc0fd0b2b6ab36b7cefd996df8c62b2e88dcf4

Observation d1ee9179-ad20-4370-887e-162028ae09b4 · outbound

This paper cites 3-Lie-Rinehart Algebras.

Crossed modules of ternary Leibniz algebras 3-Lie-Rinehart Algebras

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-09T23:42:02.095592Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-09T23:42:02.036989Z digest=sha256:5955bbf1866be42e82717c3e929eddb42bcc80f6d8d78b2c202d0e2728d622c8

Pith citing papers

No inbound Pith citation observations are available.