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Paper Citation Record · LEDGER

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces

As of 22 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2606.30453.

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

pith.paper-citation-record.v1
2606.30453 v3

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T20:41:29.447125Z

measured 8 of 8 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T19:06:45.330899Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

7 of 7 outbound references displayed

  • verified exact5
  • verified fuzzy2
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2586fa33-e44d-40df-90f2-036a161a34a3 · outbound

This paper cites On finite trifactorised groups and Sylow and Hall theorems for skew braces.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces On finite trifactorised groups and Sylow and Hall theorems for skew braces

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:47:22.411650Z

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=2026-07-02T20:41:29.447125Z digest=sha256:a58d7fac55eae732168a84c5e8c4f3df89c5e26b66da7a441d2a1033a02dd4fa

Observation 18f18c66-3b74-453a-813b-aae698c9fc92 · outbound

This paper cites On the Sylow Theorem for Skew Braces.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces On the Sylow Theorem for Skew Braces

Reference 2

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:47:22.419819Z

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=2026-07-02T20:41:29.447125Z digest=sha256:34400650a6497906df40088de6b1dd66469fca3428f29882af5b474387662813

Observation 91473f05-e572-4c2e-8dd4-c8c6e02af13e · outbound

This paper cites Sylow theory and the nilpotency class of left nilpotent skew braces.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces Sylow theory and the nilpotency class of left nilpotent skew braces

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:47:22.419093Z

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=2026-07-02T20:41:29.447125Z digest=sha256:82b51fb50a624cf2a66909432163facbd470ff0b91ef3375da86d131b3ddb14d

Observation 10567589-52a8-445c-bfe6-84f1d4fc5e07 · outbound

This paper cites Finite Groups I.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces Finite Groups I

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T20:21:25.210102Z

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=2026-07-02T20:41:29.447125Z digest=sha256:5afdac98b4ce669c3507afa6cfb2baafbd67a79a5403837ba6fd426c1115b055

Observation b6b53986-8dd2-4451-8eea-4849957b5e5c · outbound

This paper cites Skew brace extensions, second cohomology and com- plements.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces Skew brace extensions, second cohomology and com- plements

Reference 5

Resolution
verified exact
arxiv_id, observed 2026-07-02T20:47:22.414084Z

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=2026-07-02T20:41:29.447125Z digest=sha256:e3b9f530f85bc4adc42c6294b9eb86d2a6aabadbb9fdcd6136f7f0b05b98ab37

Observation b69fa29f-1bbc-4a10-a4c7-e4698b415067 · outbound

This paper cites A Course in the Theory of Groups.

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces A Course in the Theory of Groups

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-05T20:21:25.208032Z

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=2026-07-02T20:41:29.447125Z digest=sha256:dedc934e48242aa3aeec09c5c5896071a51cd0b88d07a94f1964dc188cb297b5

Observation 0c5c4032-6347-4833-b67c-219de2116c8d · outbound

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

The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces Analogues of Sylow's first theorem, Cauchy's theorem, and Hall's theorem for skew braces

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-07-02T20:47:22.416714Z

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=2026-07-02T20:41:29.447125Z digest=sha256:133cfd87a62195e1f8bf15f62eaa71db35833517cadf6f642f1a94b97608ea87

Pith citing papers

Observation 218035bc-65a6-4f7e-9940-988e2b0a153c · inbound

Simple Skew Braces with Cyclic Sylow Subgroups cites this paper.

Simple Skew Braces with Cyclic Sylow Subgroups The Schur--Zassenhaus Theorem and Sylow's Third Theorem for Finite Skew Braces

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-01T19:06:45.330899Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T19:06:45.330899Z digest=sha256:2a3c658ac9dba05b86c28a8440d104a96e3d77b8011e4ed621a40ef811c3a494