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Paper Citation Record · LEDGER

Crossed modules of ternary Leibniz algebras

As of 22 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 2026-08-22T06:32:14.747728+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

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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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T23:42:01.901112Z digest=sha256:5c33ac72a25f635702150ab8c9d99cb3756bf9e4b8c1c7fb4a7a1fce8c163e86

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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source=pdf_text observed=2026-08-09T23:42:01.911386Z digest=sha256:e11b015759c2940fe9e47482c8dd6f6b8aa94128ccdcec52db8e14ceb2651e0c

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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source=pdf_text observed=2026-08-09T23:42:01.920007Z digest=sha256:d434b8dabe631eec8e8f20cf8d6b74641d9d35e7c77f667c8679e0dd61880878

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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source=pdf_text observed=2026-08-09T23:42:01.938640Z digest=sha256:4c629b72a2ae413e0be0e808a937e7d1ad8a8015dbe2326b73c55139c5bf5ac1

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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source=pdf_text observed=2026-08-09T23:42:01.942803Z digest=sha256:daf0eda98240b900f2304f1479859e18b9b0e08e1cbf01f3b8bd837f656b10a4

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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source=pdf_text observed=2026-08-09T23:42:01.946977Z digest=sha256:368a2225e47cebf1bbb7d9d0d2dadc7b5aa2f1b56bb32135e25a0dcdabc9d1a7

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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source=pdf_text observed=2026-08-09T23:42:01.951371Z digest=sha256:b344813ff5b576d5a9cde0c8643017ba030072d89a875c3b1fe17535028e6cbb

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

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-09T23:42:01.955640Z digest=sha256:4af8bccd823cf5966deb1499a1a4910586d791984eedc0ad35f6eb57ce057a63

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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source=pdf_text observed=2026-08-09T23:42:01.972248Z digest=sha256:45f0b0d67f8957c7f30db6c1d4ef2f59c76eaacadb762b6da60e183ca182279f

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:fdba5b470c61044fafbc9fa5c3f338e24d61e9ba43aafcfc14a62c6811ea5c51

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:ec03b883c78090a67d155d149f6b057e1ceb6b7369b4e4235a8388e304e4a2c4

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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source=pdf_text observed=2026-08-09T23:42:01.989591Z digest=sha256:f467a252fa1f91d5ced0c04b70f26a7ce81a8e4822bf168d5d49d701f0ace6a3

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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source=pdf_text observed=2026-08-09T23:42:01.994386Z digest=sha256:d365e1f38afebd88409beef59a8133b557e3935125c65d2e9bebdd0f5175d945

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:c2c67b1b5b01918e88edd315e263294ee6a50e8cecb0ec28674b08114c1f0db2

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=sha256:10e006767f24dffc12587394aac6e610c6cdc91fd45effbd51bd72003b4a3f6a

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=sha256:861aed186ef6b070d8766da91f8fb4d0f72e259175c76af1321eb68b432a6b40

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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source=pdf_text observed=2026-08-09T23:42:02.011144Z digest=sha256:97f2568de28c9ace075a6dbedda184cb342ea204904886159aa3c3a8b3ab3960

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=sha256:86fe1185f40311cc5e9dc122e184e89208e7ec47b6a15e14881b3c745d7e4828

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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source=pdf_text observed=2026-08-09T23:42:02.019613Z digest=sha256:7463c47f19254e41ae36d5311cde2c798495b0637ebd7d208fb939d3d03d69e7

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=sha256:6a6b8bd0076600b7d9c64270c8b11dec4d35f91059b8e0535a17d89a14ff851d

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

This paper cites an unresolved cited work.

Crossed modules of ternary Leibniz algebras Unresolved cited work

Reference 35

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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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-09T23:42:02.027819Z digest=sha256:44388916208adb1d9b2dbfa1585fb9a40d47551472017e2724d6123baf1ec0fd

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-09T23:42:02.032483Z digest=sha256:6e8f68031c0456d7b49b676b9549a98db61643f8e4e7fc584935b1177ad87898

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-09T23:42:02.036989Z digest=sha256:fda786ba11d55fecd13ed0d032107692bd26d12e314a42948dd219cffead6505

Pith citing papers

No inbound Pith citation observations are available.