Paper Citation Record · LEDGER

Ideals and Solvability in Skew Braces

As of 22 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 2 inbound Pith citation observations for arXiv:2607.19955.

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

pith.paper-citation-record.v1
2607.19955 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T11:20:13.513191Z

measured 27 of 27 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T19:06:06.462660Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

25 of 25 outbound references displayed

verified exact0
verified fuzzy0
unresolved25
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation eba649ac-7319-4d50-8d2e-034c55026a35 · outbound

This paper cites Amberg, O.

Ideals and Solvability in Skew Braces Amberg, O

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:10.438640Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 282d13fa-e5b0-4c84-92ce-dc5400d65d7a · outbound

This paper cites Bachiller, Extensions, matched products, and simple braces,J.

Ideals and Solvability in Skew Braces Bachiller, Extensions, matched products, and simple braces,J

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:10.504084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9ae3de09-5465-4f23-8092-1756bf7fa85c · outbound

This paper cites Bachiller, F.

Ideals and Solvability in Skew Braces Bachiller, F

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:10.594861Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6bb09922-cb18-4237-b36e-9dbeb10ad1ee · outbound

This paper cites Ballester-Bolinches, R.

Ideals and Solvability in Skew Braces Ballester-Bolinches, R

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:10.709489Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2241ef57-2e06-4bb1-9146-07c5b699f9d1 · outbound

This paper cites Ballester-Bolinches, R.

Ideals and Solvability in Skew Braces Ballester-Bolinches, R

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:10.887579Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6cd151d-8a48-4d49-82e2-53288e02f73e · outbound

This paper cites Burnside, On groups of orderpαqβ,Proc.

Ideals and Solvability in Skew Braces Burnside, On groups of orderpαqβ,Proc

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.001419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c6edeff-4ac2-4ce9-b07e-e04aca79a07b · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.115224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db3dea75-0fec-4980-977c-4f03195dfcd3 · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.256805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 366820e6-fd5f-4bd3-9611-f75472b01fbb · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.431957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb0617ac-3d8d-4a1e-b567-ebb3f7a4957c · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.595917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be3beac1-8530-4884-94ae-fc16ea1d4256 · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.704390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 88c77c4d-0818-4273-bc95-410d152ef705 · outbound

This paper cites Cedó and L.

Ideals and Solvability in Skew Braces Cedó and L

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.818750Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 34bcc762-7bae-4267-8df8-8def9f95afd0 · outbound

This paper cites On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group.

Ideals and Solvability in Skew Braces On Simply Connected Simple Lie Skew Braces with Nilpotent Multiplicative Group

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:11.910494Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a32c8e01-3f27-4ac4-84cc-0d5c288f15ac · outbound

This paper cites On finite perfect two-sided skew braces.

Ideals and Solvability in Skew Braces On finite perfect two-sided skew braces

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.022397Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91b70c96-9938-4350-b229-73dff8a5ee99 · outbound

This paper cites Simple Skew Braces with Cyclic Sylow Subgroups.

Ideals and Solvability in Skew Braces Simple Skew Braces with Cyclic Sylow Subgroups

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.173672Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c794d41d-31f4-4f7f-8c7c-cfd6c3883bde · outbound

This paper cites Damele, Finite skew braces whose additive group is aZ-group,Arch.

Ideals and Solvability in Skew Braces Damele, Finite skew braces whose additive group is aZ-group,Arch

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.282340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17056de3-75f5-49fc-885d-5f1ecea93629 · outbound

This paper cites Feit and J.

Ideals and Solvability in Skew Braces Feit and J

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.385009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f4c685e-0ad9-4809-aea8-074888c8bb71 · outbound

This paper cites Guarnieri and L.

Ideals and Solvability in Skew Braces Guarnieri and L

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.504774Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0f257cf2-07aa-4723-a6f8-159996cf0d6e · outbound

This paper cites an unresolved cited work.

Ideals and Solvability in Skew Braces Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.584114Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17eba1c8-34eb-4fe3-b5df-69747d67f5ee · outbound

This paper cites Nasybullov, Connections between properties of the additive and the multi- plicative groups of a two-sided skew brace,J.

Ideals and Solvability in Skew Braces Nasybullov, Connections between properties of the additive and the multi- plicative groups of a two-sided skew brace,J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.747373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d736ecfb-bf4c-4395-929b-e87684193104 · outbound

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

Ideals and Solvability in Skew Braces Rump, Braces, radical rings, and the quantum Yang–Baxter equation,J

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:12.910187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf804dc0-a9ed-41d1-ac0c-1a26863c6f90 · outbound

This paper cites Smoktunowicz and L.

Ideals and Solvability in Skew Braces Smoktunowicz and L

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:13.074310Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 01ea0f2e-606b-4eed-b392-6532f6d773d5 · outbound

This paper cites Trappeniers, On two-sided skew braces,J.

Ideals and Solvability in Skew Braces Trappeniers, On two-sided skew braces,J

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:13.232703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e79d5b82-41d6-4f6d-aa4f-ce872337cf85 · outbound

This paper cites Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces.

Ideals and Solvability in Skew Braces Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:13.367010Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ee2b7d5-84b2-4b10-bd7a-c935330425c8 · outbound

This paper cites Tsang and C.

Ideals and Solvability in Skew Braces Tsang and C

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-01T11:20:13.513191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 7ed383c9-ee61-4d57-b5a4-d99f78746c7a · inbound

A Counterexample to Byott's Conjecture for Finite Skew Braces cites this paper.

A Counterexample to Byott's Conjecture for Finite Skew Braces Ideals and Solvability in Skew Braces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T05:22:31.571241Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e2d0e59-3fef-4e3f-9e95-68c677692bbd · inbound

Powerful multiplicative groups do not force right nilpotence in finite braces cites this paper.

Powerful multiplicative groups do not force right nilpotence in finite braces Ideals and Solvability in Skew Braces

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T19:06:06.462660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.