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Paper Citation Record · LEDGER

In Search of Homology for Quasigroups of Bol-Moufang Type

As of 19 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2508.21268.

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

pith.paper-citation-record.v1
2508.21268 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:34:05.896823Z

measured 36 of 36 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

36 of 36 outbound references displayed

  • verified exact7
  • verified fuzzy24
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

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Outbound references

Observation a9068804-c7a7-4439-9305-7a8931df34de · outbound

This paper cites an unresolved cited work.

In Search of Homology for Quasigroups of Bol-Moufang Type Unresolved cited work

Reference 1

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Source-reported events for the cited work

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source=arxiv_source observed=2026-08-05T14:34:05.805934Z digest=sha256:819c8b0c9b6d6b557b0538b6b14430d3850efc81ef21133bcf036cded634b18b

Observation f5ac38c0-613a-41ae-9dd5-8a01190eb263 · outbound

This paper cites Bergman, An Invitation to General Algebra and Universal Constructions (Universitext Book 351), Springer, Cham, 2015.

In Search of Homology for Quasigroups of Bol-Moufang Type Bergman, An Invitation to General Algebra and Universal Constructions (Universitext Book 351), Springer, Cham, 2015

Reference 2

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Observation 0a5f8ca5-468b-4ed2-8937-0a83401c1814 · outbound

This paper cites Bol, Gewebe und Gruppen, Math.

In Search of Homology for Quasigroups of Bol-Moufang Type Bol, Gewebe und Gruppen, Math

Reference 3

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Observation 76490f58-3191-4693-bad0-9092c541c4c9 · outbound

This paper cites an unresolved cited work.

In Search of Homology for Quasigroups of Bol-Moufang Type Unresolved cited work

Reference 4

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

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Observation 87d0ab02-0302-47fa-81ea-62da69f93fcb · outbound

This paper cites Carter, S.

In Search of Homology for Quasigroups of Bol-Moufang Type Carter, S

Reference 5

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

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Observation 44510e53-d30d-4487-b7a2-26121ed0f4fa · outbound

This paper cites Chevalley, S.

In Search of Homology for Quasigroups of Bol-Moufang Type Chevalley, S

Reference 6

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

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Observation 91156efe-2a7d-4a71-9d20-ffbf0d22d2ef · outbound

This paper cites an unresolved cited work.

In Search of Homology for Quasigroups of Bol-Moufang Type Unresolved cited work

Reference 7

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

source=arxiv_source observed=2026-08-05T14:34:05.822409Z digest=sha256:cabf3b5224e05197dfec4230c1ffbcf8db11e311fdeb46b0e00a2f82abc9c36a

Observation 745f365f-e6f3-4d17-aaaf-5f37f00eeef7 · outbound

This paper cites Eilenberg, Extensions of general algebras Ann.

In Search of Homology for Quasigroups of Bol-Moufang Type Eilenberg, Extensions of general algebras Ann

Reference 8

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Observation a2dac579-9b64-42cc-8ef5-71e33b448c67 · outbound

This paper cites Eilenberg, S.

In Search of Homology for Quasigroups of Bol-Moufang Type Eilenberg, S

Reference 9

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

source=arxiv_source observed=2026-08-05T14:34:05.827104Z digest=sha256:87747f568768674452bc7c346f7e23c3df92952b88091e47955b26538b5ed4ed

Observation 8700acae-ac3b-451c-98d8-b5499e596f8a · outbound

This paper cites Eilenberg, S.

In Search of Homology for Quasigroups of Bol-Moufang Type Eilenberg, S

Reference 10

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

source=arxiv_source observed=2026-08-05T14:34:05.829499Z digest=sha256:fedcd1152e8f7ed02b019773325d6e5d0a3abc6d1563be68b6be057dc2cf4fd3

Observation a97b0f7c-e6c7-40cc-a760-2ba8eb576850 · outbound

This paper cites Karpilovsky, The Schur Multipliers, Oxford Science Publications, London Mathematical society Monographs, New Series 2, Clarendon Press, Oxford, 1987, x+302 pp.

In Search of Homology for Quasigroups of Bol-Moufang Type Karpilovsky, The Schur Multipliers, Oxford Science Publications, London Mathematical society Monographs, New Series 2, Clarendon Press, Oxford, 1987, x+302 pp

Reference 11

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

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Observation 01a8f613-ec4d-4943-8762-e55ef1866e17 · outbound

This paper cites Algebra 183 (1996), no.

In Search of Homology for Quasigroups of Bol-Moufang Type Algebra 183 (1996), no

Reference 12

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

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Observation 96a987af-94f1-4b27-b6fc-886a84b928c7 · outbound

This paper cites Lebed, Braided objects: unifying algebraic structures and categorifying virtual braids December 2012, Thesis (Ph.D.), Universit\'e Paris 7.

In Search of Homology for Quasigroups of Bol-Moufang Type Lebed, Braided objects: unifying algebraic structures and categorifying virtual braids December 2012, Thesis (Ph.D.), Universit\'e Paris 7

Reference 13

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

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Observation 4cc030fe-7c67-456e-b42a-3511bf32285e · outbound

This paper cites Lebed, Homologies of algebraic structures via braidings and quantum shuffles, J.

In Search of Homology for Quasigroups of Bol-Moufang Type Lebed, Homologies of algebraic structures via braidings and quantum shuffles, J

Reference 14

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

source=arxiv_source observed=2026-08-05T14:34:05.838970Z digest=sha256:07d0aa39284f0703fb80c88ad1a866c9fd1d8f2da64af48a50650945fe56fc14

Observation b3614bfc-0771-4bc0-bace-043913775e88 · outbound

This paper cites Lebed, abelian quandles and quandles with abelian structure group, e-print:\ arXiv:1908.06745 [math.GR].

In Search of Homology for Quasigroups of Bol-Moufang Type Lebed, abelian quandles and quandles with abelian structure group, e-print:\ arXiv:1908.06745 [math.GR]

Reference 15

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

source=arxiv_source observed=2026-08-05T14:34:05.841243Z digest=sha256:ca68d8cfb4870025eb52d26f6ae425aae5a9fc962615f5c4680fce6819ec4342

Observation d2fbdb0d-df74-4d00-a831-dd3d9e075cba · outbound

This paper cites Loday, Cyclic homology, Grund.

In Search of Homology for Quasigroups of Bol-Moufang Type Loday, Cyclic homology, Grund

Reference 16

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Observation 8f73560a-09b4-4c3d-981a-1cd48443916f · outbound

This paper cites Miller, The second homology of a group, Proc.

In Search of Homology for Quasigroups of Bol-Moufang Type Miller, The second homology of a group, Proc

Reference 17

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Observation 6524c230-9017-46c9-a0fd-b750191036d8 · outbound

This paper cites Moufang, Zur Struktur der Alternativekoerpern, Math.

In Search of Homology for Quasigroups of Bol-Moufang Type Moufang, Zur Struktur der Alternativekoerpern, Math

Reference 18

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Observation c9b8132e-79eb-4f78-9439-6832f12bcb3a · outbound

This paper cites an unresolved cited work.

In Search of Homology for Quasigroups of Bol-Moufang Type Unresolved cited work

Reference 19

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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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Observation 12d92cd6-a881-4b4d-9155-b383bb7867fc · outbound

This paper cites Entropic magmas, their homology, and related invariants of links and graphs.

In Search of Homology for Quasigroups of Bol-Moufang Type Entropic magmas, their homology, and related invariants of links and graphs

Reference 20

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

source=arxiv_source observed=2026-08-05T14:34:05.853245Z digest=sha256:1cb15ffdb8263240e6c0a01b96c3818075f44d5cdbd372e110dab70af86fc4bb

Observation 890348c1-41c9-4e07-96d8-803623f34819 · outbound

This paper cites Pflugfelder, Historical notes on loop theory, Commentationes Mathematicae Universitatis Carolinae , 41, 2000, 359-370.

In Search of Homology for Quasigroups of Bol-Moufang Type Pflugfelder, Historical notes on loop theory, Commentationes Mathematicae Universitatis Carolinae , 41, 2000, 359-370

Reference 21

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source=arxiv_source observed=2026-08-05T14:34:05.855905Z digest=sha256:b3db8fdd161d0bc9e6e009ee7e0f47608be60c41f852a8adb17108b382b2f897

Observation 0e20217f-88b1-4d58-b41b-4ac4abc7e093 · outbound

This paper cites Pflugfelder, Quasigroups and Loops: Introduction, Sigma Series in Pure Mathematics, Heldermann, 1990.

In Search of Homology for Quasigroups of Bol-Moufang Type Pflugfelder, Quasigroups and Loops: Introduction, Sigma Series in Pure Mathematics, Heldermann, 1990

Reference 22

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Observation 11e2151b-5df6-4420-8a58-4a1c531b44c4 · outbound

This paper cites Phillips, P.

In Search of Homology for Quasigroups of Bol-Moufang Type Phillips, P

Reference 23

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Observation 8e92773a-5529-4ffe-a585-1092ae3e6992 · outbound

This paper cites Phillips, P.

In Search of Homology for Quasigroups of Bol-Moufang Type Phillips, P

Reference 24

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Observation ec37fa2b-2312-4cd2-91c0-e462133161b3 · outbound

This paper cites Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation.

In Search of Homology for Quasigroups of Bol-Moufang Type Homology of left non-degenerate set-theoretic solutions to the Yang-Baxter equation

Reference 25

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Observation 65740392-6d0d-47e8-b181-e79fad01f3e4 · outbound

This paper cites Distributivity versus associativity in the homology theory of algebraic structures.

In Search of Homology for Quasigroups of Bol-Moufang Type Distributivity versus associativity in the homology theory of algebraic structures

Reference 26

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local_arxiv, observed 2026-08-05T14:34:05.960097Z

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

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Observation 45b6be38-104c-47b0-9db4-0a02c9d0eb7f · outbound

This paper cites Knots and distributive homology: from arc colorings to Yang-Baxter homology.

In Search of Homology for Quasigroups of Bol-Moufang Type Knots and distributive homology: from arc colorings to Yang-Baxter homology

Reference 27

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local_arxiv, observed 2026-08-05T14:34:05.948671Z

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

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Observation 373cac8b-741c-4ff6-ae1e-0a19c5bff1b7 · outbound

This paper cites Przytycki, J.

In Search of Homology for Quasigroups of Bol-Moufang Type Przytycki, J

Reference 28

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source=arxiv_source observed=2026-08-05T14:34:05.875263Z digest=sha256:9bc63a5bc2fb6ea4409ee6672402dcf5d3accf0b7eba659de1780e7a3169a13c

Observation a25b4fcd-c437-4996-a3c6-dff26215f901 · outbound

This paper cites Equivalence of two definitions of set-theoretic Yang-Baxter homology.

In Search of Homology for Quasigroups of Bol-Moufang Type Equivalence of two definitions of set-theoretic Yang-Baxter homology

Reference 29

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local_arxiv, observed 2026-08-05T14:34:05.937538Z

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Observation 38aa4563-d454-46de-a37f-c3f4c3a31327 · outbound

This paper cites The second Yang-Baxter homology for the Homflypt polynomial.

In Search of Homology for Quasigroups of Bol-Moufang Type The second Yang-Baxter homology for the Homflypt polynomial

Reference 30

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local_arxiv, observed 2026-08-05T14:34:05.926033Z

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

source=arxiv_source observed=2026-08-05T14:34:05.880617Z digest=sha256:a77b1fbe729be8098aecf19f83c11bba36de9cd4d50a5139172439169fbe0a8c

Observation 1e9c3c04-8e1a-461d-a2f0-ec781d94e25e · outbound

This paper cites Shcherbacov, Elements of quasigroup theory and applications, CRC Press, 2017.

In Search of Homology for Quasigroups of Bol-Moufang Type Shcherbacov, Elements of quasigroup theory and applications, CRC Press, 2017

Reference 31

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

source=arxiv_source observed=2026-08-05T14:34:05.883209Z digest=sha256:82b1d7286840ab686714081e9cbfcb412c8cd6fea6d42ed16e0ff955b9253ea2

Observation 3d233d9c-3ec2-4391-8d86-8d44344abeec · outbound

This paper cites Smith, Mal'cev variety, Springer Lecture Notes in Mathematics, No.554, Springer-Verlag, Berlin, 1976.

In Search of Homology for Quasigroups of Bol-Moufang Type Smith, Mal'cev variety, Springer Lecture Notes in Mathematics, No.554, Springer-Verlag, Berlin, 1976

Reference 32

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source=arxiv_source observed=2026-08-05T14:34:05.886042Z digest=sha256:8d42803ec70794e6e36924baf2f4e423dadb2334c7ac60b2a0b8e652c81a6118

Observation b66198ec-e66a-4585-b54d-bc9a48e5c9a8 · outbound

This paper cites Smith, An introduction to quasigroups and their representations.

In Search of Homology for Quasigroups of Bol-Moufang Type Smith, An introduction to quasigroups and their representations

Reference 33

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source=arxiv_source observed=2026-08-05T14:34:05.888348Z digest=sha256:b071dbf9b01ec7c3156cb2fc092c52154047ab2899e774e503eba918a6b6160a

Observation 7d0d8887-e796-45b4-a792-51864a3a71ea · outbound

This paper cites Smith, Groups, triality, and hyperquasigroups, Journal of Pure and Applied Algebra , 216, 2012 811-825.

In Search of Homology for Quasigroups of Bol-Moufang Type Smith, Groups, triality, and hyperquasigroups, Journal of Pure and Applied Algebra , 216, 2012 811-825

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:34:06.101883Z

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.

source=arxiv_source observed=2026-08-05T14:34:05.890664Z digest=sha256:8fe9a5e3d03f2bd37fb43e93ea27b5df0a5f2f30e8d90be4e2b07f904683e52e

Observation fb8dcf1f-4dc9-428c-9cb3-7de8f4b51db9 · outbound

This paper cites Toyoda, On affine geometry of abelian groups, Proceedings of the Imperial Academy , Volume 16(5), 1940, 161-164.

In Search of Homology for Quasigroups of Bol-Moufang Type Toyoda, On affine geometry of abelian groups, Proceedings of the Imperial Academy , Volume 16(5), 1940, 161-164

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T14:34:06.091920Z

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.

source=arxiv_source observed=2026-08-05T14:34:05.893033Z digest=sha256:0fe1ed46fc6a5dc704590029ff434475ef5cac48dcc5caf44e218224f58001dc

Observation 1b2e7d9a-5ef6-4f01-a27d-83d321e7c69d · outbound

This paper cites an unresolved cited work.

In Search of Homology for Quasigroups of Bol-Moufang Type Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-05T14:34:06.082885Z

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.

source=arxiv_source observed=2026-08-05T14:34:05.896823Z digest=sha256:55f82dfc1e9398ce10b7aff405a8adf70ef637ba5e45ee806b115f16be98fb54

Pith citing papers

No inbound Pith citation observations are available.