Paper Citation Record · LEDGER

A note on the horizontal class transposition group

As of 5 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2604.12553.

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

pith.paper-citation-record.v1
2604.12553 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T14:04:58.930373Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T18:04:18.065649Z

measured 1 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T02:28:24.338817Z

Reference resolution

10 of 10 outbound references displayed

verified exact2
verified fuzzy3
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
pith, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 6a0000a8-df9c-406b-bffb-aef484946847 · outbound

This paper cites an unresolved cited work.

A note on the horizontal class transposition group Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-18T16:22:44.429557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 047e24b1-67a3-4cc5-bfe5-b0b16d9b651d · outbound

This paper cites Orders of Products of Slanted Class Transpositions.

A note on the horizontal class transposition group Orders of Products of Slanted Class Transpositions

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-10T14:05:29.063238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 8b9e4b28-059e-4199-a89c-14ea12708523 · outbound

This paper cites Dixon and B.

A note on the horizontal class transposition group Dixon and B

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T16:22:44.432111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e25a3203-7789-480c-87c7-55fae6c22470 · outbound

This paper cites Kohl, A simple group generated by involutions interchanging residue classes of the integers, Math.

A note on the horizontal class transposition group Kohl, A simple group generated by involutions interchanging residue classes of the integers, Math

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T16:22:44.441483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 035cc921-16b7-4e3f-9f5e-500f37712ad3 · outbound

This paper cites Kohl, The Collatz conjecture in a group theoretic context,J.

A note on the horizontal class transposition group Kohl, The Collatz conjecture in a group theoretic context,J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-18T16:22:44.444935Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation a528085d-39e7-482f-a4c4-b52d963e61c6 · outbound

This paper cites an unresolved cited work.

A note on the horizontal class transposition group Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-05-18T16:22:44.448185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation b31bfc1a-3958-43fd-8b11-c1f5ed7c1f23 · outbound

This paper cites an unresolved cited work.

A note on the horizontal class transposition group Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-18T16:22:44.452135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation f7ae805e-ec5e-4160-921a-5b3cfb367101 · outbound

This paper cites an unresolved cited work.

A note on the horizontal class transposition group Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-05-18T16:22:44.455395Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation e48f5bdb-636b-451e-860e-fa30fe395a47 · outbound

This paper cites an unresolved cited work.

A note on the horizontal class transposition group Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-18T16:22:44.434852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Observation 4296e4e0-9049-4c66-9ff3-4af0e177a576 · outbound

This paper cites Math.(2025), DOI:10.1007/s11856-025-2851-x.

A note on the horizontal class transposition group Math.(2025), DOI:10.1007/s11856-025-2851-x

Reference 10

Resolution: verified exact; doi, observed 2026-05-10T14:05:27.987982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

Pith citing papers

Observation d4d4d62d-aa68-427c-aa77-4b5bc18935a9 · inbound

On Some Problems from the Kourovka Notebook cites this paper.

On Some Problems from the Kourovka Notebook A note on the horizontal class transposition group

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-01T18:08:28.735655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.