Paper Citation Record · LEDGER

On the structure of some one-generator nilpotent braces

As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 4 inbound Pith citation observations for arXiv:2501.04567.

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

pith.paper-citation-record.v1
2501.04567 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:41:01.879683Z

measured 19 of 19 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 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:39:40.863142Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-25T05:45:24.258572Z

Reference resolution

15 of 15 outbound references displayed

verified exact0
verified fuzzy13
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7a608018-d347-4fe9-87b0-375a9d9d50b1 · outbound

This paper cites Bachiller, Classiﬁcation of braces of order p3, J.

On the structure of some one-generator nilpotent braces Bachiller, Classiﬁcation of braces of order p3, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.308597Z

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 746fb17f-d9a8-4db0-9a07-a24582f6b8b9 · outbound

This paper cites Ballester-Bolinches, R.

On the structure of some one-generator nilpotent braces Ballester-Bolinches, R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.282275Z

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 c598548b-5c3d-40bf-b1a3-0f0adac9865d · outbound

This paper cites Bonatto and P.

On the structure of some one-generator nilpotent braces Bonatto and P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.257193Z

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 80205a00-c190-4180-9d0d-8610c39dd713 · outbound

This paper cites Ced´ o,Left braces: solutions of the Yang-Baxter equation , Adv.

On the structure of some one-generator nilpotent braces Ced´ o,Left braces: solutions of the Yang-Baxter equation , Adv

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.234974Z

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 47ed57a0-e662-48f4-8e84-82ac12e19e67 · outbound

This paper cites Ced´ o, T.

On the structure of some one-generator nilpotent braces Ced´ o, T

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.206403Z

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 5ec7fc7d-30d8-48a1-b916-52cf95bccb35 · outbound

This paper cites Ced´ o, A.

On the structure of some one-generator nilpotent braces Ced´ o, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.178965Z

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 f184d0f8-2791-4c0c-814d-52988524987f · outbound

This paper cites Colazzo, M.

On the structure of some one-generator nilpotent braces Colazzo, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.146412Z

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 c7be143b-9738-4304-9462-defd079f2a6d · outbound

This paper cites an unresolved cited work.

On the structure of some one-generator nilpotent braces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:41:02.114041Z

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 8c0082ea-9995-41da-94ce-c18034b6544e · outbound

This paper cites Jespers, A.

On the structure of some one-generator nilpotent braces Jespers, A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.077178Z

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 6e565106-2a5f-41df-b1fd-8e14421eada4 · outbound

This paper cites an unresolved cited work.

On the structure of some one-generator nilpotent braces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T21:41:02.048363Z

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 5ec9085e-049b-46b4-acb1-9135d0fc58c7 · outbound

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

On the structure of some one-generator nilpotent braces Rump, A decomposition theorem for square-free unitary solutions of the quantum Yang-Baxter equation , Adv

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:02.021145Z

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 7b91aa91-5088-4203-b8c1-643cf5ea8c5c · outbound

This paper cites Al- gebra 307 (2007), no.

On the structure of some one-generator nilpotent braces Al- gebra 307 (2007), no

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:01.995994Z

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 d0e226d6-90ea-4a59-b719-f647538ae588 · outbound

This paper cites Smoktunowicz, On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation, Trans.

On the structure of some one-generator nilpotent braces Smoktunowicz, On Engel groups, nilpotent groups, rings, braces and the Yang-Baxter equation, Trans

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:01.974490Z

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 1c24726e-080f-4b11-9e73-0ec06a2e62e7 · outbound

This paper cites Algebra Appl.

On the structure of some one-generator nilpotent braces Algebra Appl

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:01.954236Z

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 50abf65b-715f-4815-8d68-9667a5bd8dba · outbound

This paper cites Trombetti, The structure skew brace associated with a ﬁnite non-degene rate solution of the Yang-Baxter equation is ﬁnitely presented , Proc.

On the structure of some one-generator nilpotent braces Trombetti, The structure skew brace associated with a ﬁnite non-degene rate solution of the Yang-Baxter equation is ﬁnitely presented , Proc

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:41:01.930207Z

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.

Pith citing papers

Observation c5628bc7-e5fa-4438-970b-bdcebd13a574 · inbound

On left nilpotent skew braces of class 2 cites this paper.

On left nilpotent skew braces of class 2 On the structure of some one-generator nilpotent braces

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T22:39:40.863142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

One-generator skew braces and indecomposable set-theoretic solutions to the Yang-Baxter equation cites this paper.

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 9fefdfee-9396-4426-8dbf-5765a4d16e23 · inbound

Hermitian Matrix Function Synthesis without Block-Encoding cites this paper.

Hermitian Matrix Function Synthesis without Block-Encoding On the structure of some one-generator nilpotent braces

Reference 22

Resolution: metadata mismatch; arxiv_id, observed 2026-05-16T20:23:23.383742Z

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 3af20d2e-4e05-41d4-b255-3f1357b88a57 · inbound

A Proactive Multi-Agent Dialogue Framework for Assessing Social Language Disorder Traits in Autism cites this paper.

A Proactive Multi-Agent Dialogue Framework for Assessing Social Language Disorder Traits in Autism On the structure of some one-generator nilpotent braces

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-25T05:45:24.263128Z

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.