Paper Citation Record · LEDGER

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation

As of 22 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.12503.

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

pith.paper-citation-record.v1
2506.12503 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:04:19.498820Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

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

39 of 39 outbound references displayed

verified exact14
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier1
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f2a931d8-015c-4528-bfc4-56744df94089 · outbound

This paper cites Ballester-Bolinches, R.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Ballester-Bolinches, R

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:16.015060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f9080a6d-2bf8-469e-8ee6-bd39abef784a · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:16.080854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a8ce988-cdd7-4984-b7c5-5b473c33738b · outbound

This paper cites Castelli, A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation, Proc.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Castelli, A characterization of finite simple set-theoretic solutions of the Yang-Baxter equation, Proc

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:16.192861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 742ab1a6-b8ee-469d-a64f-194bcf31dbb0 · outbound

This paper cites Castelli, F.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Castelli, F

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T01:04:21.918307Z

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.

Observation b6c31b89-6f22-47b1-b4fa-9bf202b74c07 · outbound

This paper cites Castelli, M.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Castelli, M

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:16.429194Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a00f841-fc8b-43f3-89eb-9f47ee6e10de · outbound

This paper cites Studying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Studying solutions of the Yang-Baxter equation through skew braces, with an application to indecomposable involutive solutions with abelian permutation group

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:04:22.837727Z

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.

Observation 96e7c97e-f953-4a2b-8447-3ad12c83133e · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-08-07T01:04:21.685386Z

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.

Observation da08d07e-fb4a-49e1-8b25-61b53317b6bd · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 8

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T01:04:22.648678Z

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.

Observation ee1654fe-13be-4276-b723-241868e906d1 · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:16.893689Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1e21207-1387-4c88-aaa6-c069a203cdbb · outbound

This paper cites Colazzo, M.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Colazzo, M

Reference 10

Resolution: verified exact; doi, observed 2026-08-07T01:04:21.466057Z

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.

Observation eb23d9c6-7249-44a8-ad92-102c93e66bbf · outbound

This paper cites Colazzo, E.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Colazzo, E

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.077039Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6d42cd8-73b3-49c6-adce-9fe54e50ebb1 · outbound

This paper cites Endocabling of involutive solutions to the Yang-Baxter equation, with an application to solutions whose diagonal is a cyclic permutation.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Endocabling of involutive solutions to the Yang-Baxter equation, with an application to solutions whose diagonal is a cyclic permutation

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T01:04:22.425514Z

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.

Observation 0ca9fa68-d82b-4d35-a01b-434de0c29413 · outbound

This paper cites Dietzel, S.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Dietzel, S

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.250280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ae72b22-7b2b-49b7-8dc3-6e3d20fb4086 · outbound

This paper cites On the structure of some one-generator nilpotent braces.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation On the structure of some one-generator nilpotent braces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.329760Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7c14e63e-73b0-4d92-b389-862dff528bb3 · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.428609Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fd982165-a5a2-4d5f-b967-8b702a9c1d3f · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.508944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e82c5ca-98f6-4024-befe-8a36395ac9d8 · outbound

This paper cites Etingof, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Etingof, A

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-07T01:04:22.239826Z

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.

Observation 315a7337-78e1-415b-a7ec-f87dfc3d4d18 · outbound

This paper cites Gateva-Ivanova, A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation, J.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Gateva-Ivanova, A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation, J

Reference 18

Resolution: verified exact; doi, observed 2026-08-07T01:04:21.234529Z

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.

Observation 22dd9e6b-1a35-4a0d-89f7-e5052354fd22 · outbound

This paper cites Gateva-Ivanova, A combinatorial approach to noninvolutive set-theoretic solutions of the Yang- Baxter equation, Publ.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Gateva-Ivanova, A combinatorial approach to noninvolutive set-theoretic solutions of the Yang- Baxter equation, Publ

Reference 19

Resolution: verified exact; doi, observed 2026-08-07T01:04:20.994743Z

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.

Observation db6c372e-61dd-48f6-8ccc-109390a20616 · outbound

This paper cites Gateva-Ivanova, M.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Gateva-Ivanova, M

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.824181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 52be305c-5b55-4c30-be48-8c510a9e2cdb · outbound

This paper cites Guarnieri, L.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Guarnieri, L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.892613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e291d2db-e6ef-4aba-94bb-1cf5c26c6dc2 · outbound

This paper cites Jedlicka, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Jedlicka, A

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:17.988537Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1f79353-1a0e-421b-8f4e-ddf9f115f476 · outbound

This paper cites Jedlička, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Jedlička, A

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.072618Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17bb069b-3b96-4f36-b0f8-a69b0b5a4729 · outbound

This paper cites Jedlicka, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Jedlicka, A

Reference 24

Resolution: verified exact; doi, observed 2026-08-07T01:04:20.791229Z

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.

Observation 549b14ea-7506-4428-8917-792d91909b56 · outbound

This paper cites Jedlička, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Jedlička, A

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.232805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 24113692-030f-44cc-8614-9430df4d5837 · outbound

This paper cites URL https://doi.org/10.1007/s00013-023-01930-6.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation URL https://doi.org/10.1007/s00013-023-01930-6

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.297526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d35eb9c7-11d0-4c65-928c-c905dca54ed8 · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 27

Resolution: verified exact; doi, observed 2026-08-07T01:04:20.540680Z

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.

Observation 36b2c8f6-8552-4d63-a42d-17747b5f3eef · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 28

Resolution: verified exact; doi, observed 2026-08-07T01:04:20.335714Z

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.

Observation 2abb96e2-3edd-48fe-b5e1-1f8caa23d329 · outbound

This paper cites Rump, A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation, Adv.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation, Adv

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.560092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 65e02256-617a-47c3-ab6d-2c981d56b6c3 · outbound

This paper cites Rump, Braces, radical rings, and the quantum Yang-Baxter equation, J.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, Braces, radical rings, and the quantum Yang-Baxter equation, J

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.662685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0677ef9c-5d1b-4ac9-93b0-393c0bd780fc · outbound

This paper cites Rump, A covering theory for non-involutive set-theoretic solutions to the Yang-Baxter equation, J.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, A covering theory for non-involutive set-theoretic solutions to the Yang-Baxter equation, J

Reference 31

Resolution: verified exact; doi, observed 2026-08-07T01:04:20.138550Z

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.

Observation 4e651446-aa65-482d-bd6f-59ee4ea23082 · outbound

This paper cites Rump, Classification of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation, Forum Math.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, Classification of indecomposable involutive set-theoretic solutions to the Yang-Baxter equation, Forum Math

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.821696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb3e9f9c-17ae-4f37-8178-7f9c5a82f08b · outbound

This paper cites Rump, One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation, Proc.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, One-generator braces and indecomposable set-theoretic solutions to the Yang–Baxter equation, Proc

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:18.916531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b10391ac-e9c1-4bf1-a763-26c98e98e798 · outbound

This paper cites Rump, The classification of non-degenerate uniconnected cycle sets, Pac.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, The classification of non-degenerate uniconnected cycle sets, Pac

Reference 34

Resolution: verified exact; doi, observed 2026-08-07T01:04:19.893532Z

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.

Observation 5ba3743a-309a-47b0-8717-6479cdb817f9 · outbound

This paper cites Rump, Primes in coverings of indecomposable involutuve set-theoretic solutions of the Yang- Baxter equation, Bull.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Rump, Primes in coverings of indecomposable involutuve set-theoretic solutions of the Yang- Baxter equation, Bull

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:19.110371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c32cb870-5969-42e1-8852-ffb9a4ae4beb · outbound

This paper cites Smoktunowicz, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Smoktunowicz, A

Reference 36

Resolution: verified exact; doi, observed 2026-08-07T01:04:19.679118Z

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.

Observation 32371946-852e-45d6-9d99-e6792c642080 · outbound

This paper cites Vendramin, Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova, J.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Vendramin, Extensions of set-theoretic solutions of the Yang-Baxter equation and a conjecture of Gateva-Ivanova, J

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:19.308856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 406ea5fd-eb98-4f05-ba22-efc4153b999c · outbound

This paper cites Vendramin, A.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Vendramin, A

Reference 38

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T01:04:23.124432Z

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.

Observation 0526cd51-d774-40ee-8a29-6f2cb7ef7146 · outbound

This paper cites an unresolved cited work.

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T01:04:19.498820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.