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Paper Citation Record · LEDGER

On some semidirect products of skew braces arising in Hopf-Galois theory

As of 8 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2506.04928.

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

pith.paper-citation-record.v1
2506.04928 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:46:57.256305Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

20 of 20 outbound references displayed

  • verified exact0
  • verified fuzzy9
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f791d0e-4607-4352-bbbc-a182fd73c2a8 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.641288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.169212Z digest=sha256:e683d21eaa29a8c834854f24f03a9d4990cf12da3f6bf7bbc06f5c40c61f9776

Observation 8c75c167-1c01-4016-9875-bda09bfa3a76 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.625029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.174354Z digest=sha256:e1f97c201574171d17f7d2671ff509422783ffd68d05e8fbe1a0ea8b1b73046b

Observation d4e9664c-e05a-4c27-8b57-4d45fc8fdce3 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.607574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.178765Z digest=sha256:c7ca2ceece94b6d45f3677c7e87318b68a3b95c996597f6d9a81a9aac8171db1

Observation 2222673f-843f-447c-b7d7-37cea72da583 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.588146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.183282Z digest=sha256:6c40b00a0ae3095f4d5bf8c02f64a77dec99dc681a5b4724e995b4549e07778a

Observation 36c3ae38-4e99-4297-94c7-5a5918a6a187 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.564794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.187688Z digest=sha256:a8f5e497fad2a8a0f0d70853840b329feb1bb299504f9bff164a9a781eea5e5f

Observation 2c27231e-16b8-400d-a8ee-ced5fdb6929c · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.544433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.192154Z digest=sha256:1caec86d8c3154abfa893959fbbec751452aa899e6388307445f2a06ab285eb9

Observation d16e445b-1558-4405-813f-8cd1ef380561 · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.525877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.197183Z digest=sha256:5b094f1b5e5e1bcfbd35f4f5f9b0ce96ce222fc79e5061f9a5e1fb70c4f06e10

Observation 93ba46d1-0499-47e4-9bb2-cd7b05d2d47b · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.507678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.201264Z digest=sha256:0d07407a7e487d03ac3b397873ec09b40e7c24ab60e26a310085b1e01b6e2799

Observation fa22aeb1-7f99-4218-992c-b8468dfda7ff · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.488788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.205342Z digest=sha256:e6016592fae2f55703ea2d7b9f0e98ca3e20c2395b20961f88311709991007a2

Observation 994f926d-f309-40e4-8fd4-008546253017 · outbound

This paper cites Crespo, A.

On some semidirect products of skew braces arising in Hopf-Galois theory Crespo, A

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.472096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.209609Z digest=sha256:51ce131ac676a83875295b82224b49ee2c48cf76e8db79c7ba1e0591ac56e405

Observation b56d1bf0-129f-452b-a6da-0cd58f5e4910 · outbound

This paper cites Facchini and M.

On some semidirect products of skew braces arising in Hopf-Galois theory Facchini and M

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.455321Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.213601Z digest=sha256:3f5eb4707586c211f1c52a2a783ff1af612196db4d2e542556042b91d59c7134

Observation 408ff400-3cb7-4c70-a139-db4c4e9e7a01 · outbound

This paper cites Fr¨ ohlich and M.

On some semidirect products of skew braces arising in Hopf-Galois theory Fr¨ ohlich and M

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.436713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.218689Z digest=sha256:183ca2d01aa1cb1f46447e3c2d7f44b2971d9b33ea8d0eaf55144cc200d72051

Observation 1c9e93a0-92c1-4137-b5a4-56599d071c68 · outbound

This paper cites Gil Mu˜ noz and A.

On some semidirect products of skew braces arising in Hopf-Galois theory Gil Mu˜ noz and A

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.418622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.223288Z digest=sha256:702ed7e8f844d767e8460d3893c8ec6af39bba34806f43cc4759bc7e3880d166

Observation 8be96f7d-127c-4f82-a74f-b0342aa30396 · outbound

This paper cites Greither and B.

On some semidirect products of skew braces arising in Hopf-Galois theory Greither and B

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.397932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.228365Z digest=sha256:205c9acf91c656576d976af21a842a0066816221fb943f71268f4dfee37912dd

Observation 1358fc59-5cc8-4414-b575-355b04ba1d0f · outbound

This paper cites Guarneri and L.

On some semidirect products of skew braces arising in Hopf-Galois theory Guarneri and L

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.382525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.233367Z digest=sha256:d3c093a825e2c4d192684caab10843de983d1b0da9a5f3faf0b652756272b9ee

Observation 761a9d43-12a3-4f1d-a44a-dca23377cfa2 · outbound

This paper cites Koch and P.

On some semidirect products of skew braces arising in Hopf-Galois theory Koch and P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.367251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.237776Z digest=sha256:7e99d8ad0eab54e98ec828cf8518509d4d5a8604a1249e0c9c712bf02cdc3de4

Observation 2a9e96b1-c048-4f2e-b5ca-902a8321bff2 · outbound

This paper cites Hopf algebras and their actions on rings , volume 82 of CBMS Regional Conference Series in Mathematics.

On some semidirect products of skew braces arising in Hopf-Galois theory Hopf algebras and their actions on rings , volume 82 of CBMS Regional Conference Series in Mathematics

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-07T10:46:57.242521Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:46:57.242521Z digest=sha256:f68c3f7d4cb3d64195b76175b29d86c3c2565c4fb5e226c603b1471c3e57da99

Observation 5dec9547-b6e3-4b86-b0b0-46e21b1a0c4f · outbound

This paper cites Smoktunowicz and L.

On some semidirect products of skew braces arising in Hopf-Galois theory Smoktunowicz and L

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.334148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.247080Z digest=sha256:d6936e0f1f0e75917d5d8a1066a4eea4d267f0bed37b42edaed86a9342ed4c2e

Observation d2c4bde1-a710-4080-8809-7eb894bcebce · outbound

This paper cites Stefanello and S.

On some semidirect products of skew braces arising in Hopf-Galois theory Stefanello and S

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:46:57.314258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.251631Z digest=sha256:b9b3273dd34786231003fd80bdf1f3e90eded4ef1e464e9fc42b226294a10dde

Observation 56ed41a2-51bb-4da7-973d-2911e3dfe40f · outbound

This paper cites an unresolved cited work.

On some semidirect products of skew braces arising in Hopf-Galois theory Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:46:57.296163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:46:57.256305Z digest=sha256:cf3a85dbb33bc124e400154420553e0d73550f853e7c474c4679507f69fb9ed0

Pith citing papers

No inbound Pith citation observations are available.