Paper Citation Record · LEDGER

Short presentations for transformation monoids

As of 21 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 1 inbound Pith citation observation for arXiv:2406.19294.

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

pith.paper-citation-record.v1
2406.19294 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T08:56:01.117296Z

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-13T20:15:25.701754Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T20:18:13.445736Z

Reference resolution

41 of 41 outbound references displayed

verified exact31
verified fuzzy8
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1c5735f4-ec7b-4850-a3d6-884a96628984 · outbound

This paper cites On eﬃcient presentations for inﬁnite sequences of 2-groups with ﬁxed coclass.

Short presentations for transformation monoids On eﬃcient presentations for inﬁnite sequences of 2-groups with ﬁxed coclass

Reference 1

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.722500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 009c54eb-0fdb-43ca-ad8b-48ca15a5b4d5 · outbound

This paper cites Deﬁning relations of ﬁnite symmetric semigroup s.

Short presentations for transformation monoids Deﬁning relations of ﬁnite symmetric semigroup s

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.845438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 84d3a427-039b-4846-b912-68c945865913 · outbound

This paper cites Presentations of Schur c overs of braid groups.

Short presentations for transformation monoids Presentations of Schur c overs of braid groups

Reference 3

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.733791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0107def4-0118-4b1a-9e29-3b1b64b6e8cc · outbound

This paper cites Shor t Presentations for Finite Groups.

Short presentations for transformation monoids Shor t Presentations for Finite Groups

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.727856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5a9498de-5ff7-42d8-ae3f-47931f1f9f22 · outbound

This paper cites Small-diameter Cayley Gr aphs for Finite Simple Groups.

Short presentations for transformation monoids Small-diameter Cayley Gr aphs for Finite Simple Groups

Reference 5

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.696705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6188d579-72c5-47af-8e5a-ed12595de3c0 · outbound

This paper cites On The Complexity Of Matrix Group Pr oblems I.

Short presentations for transformation monoids On The Complexity Of Matrix Group Pr oblems I

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.698857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93182ed4-6501-4903-a516-1aafcd11f03c · outbound

This paper cites Short presentations for alternating and symmetric groups.

Short presentations for transformation monoids Short presentations for alternating and symmetric groups

Reference 7

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.670458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation dbc0c487-003b-4f4e-9af0-481b9b5a007d · outbound

This paper cites Burnside.

Short presentations for transformation monoids Burnside

Reference 8

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.656695Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0b5451fa-c46e-4c55-b593-71758af41f1f · outbound

This paper cites Nice eﬃcient presentations for all small simple groups and their covers.

Short presentations for transformation monoids Nice eﬃcient presentations for all small simple groups and their covers

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.855876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6b15c7d1-abe1-4e61-b220-3c9f448b1650 · outbound

This paper cites url: https://doi.org/10.1112/S1461157000001121.

Short presentations for transformation monoids url: https://doi.org/10.1112/S1461157000001121

Reference 10

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.640205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 89ea5d0a-6d37-4a65-8ad3-c6076a052766 · outbound

This paper cites an unresolved cited work.

Short presentations for transformation monoids Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-25T08:56:49.866835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e664c536-c4a8-4667-8cfe-077b1aaf2b82 · outbound

This paper cites Curvature distribut ion, relative presentations and hyper- bolicity with an application to Fibonacci groups.

Short presentations for transformation monoids Curvature distribut ion, relative presentations and hyper- bolicity with an application to Fibonacci groups

Reference 12

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.738016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 761d4e84-3ee8-4625-93c2-0e4797136f5a · outbound

This paper cites Redundant relators in cyclic present ations of groups.

Short presentations for transformation monoids Redundant relators in cyclic present ations of groups

Reference 13

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.644422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 62429528-f2f4-4f63-88e0-bd0a61a1fb70 · outbound

This paper cites Finite groups deﬁned by presentation s in which each deﬁning relator involves exactly two generators.

Short presentations for transformation monoids Finite groups deﬁned by presentation s in which each deﬁning relator involves exactly two generators

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.651719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b8fed57c-a9a8-4004-863b-d32538de4fc3 · outbound

This paper cites Presentations for wreath products inv olving symmetric inverse monoids and categories.

Short presentations for transformation monoids Presentations for wreath products inv olving symmetric inverse monoids and categories

Reference 15

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.678000Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f4c0bced-1c4f-437d-b3af-03b9b784516c · outbound

This paper cites Eﬃcient presentations for the Mathieu simple group M22 and its cover.

Short presentations for transformation monoids Eﬃcient presentations for the Mathieu simple group M22 and its cover

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.878871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a9f1aae-9ebf-4f48-9925-df3258010daa · outbound

This paper cites an unresolved cited work.

Short presentations for transformation monoids Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.689719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5dc8ca29-d568-4eeb-81f9-b41f9799204e · outbound

This paper cites Coherent presenta tions of monoids with a right-noetherian Garside family.

Short presentations for transformation monoids Coherent presenta tions of monoids with a right-noetherian Garside family

Reference 18

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.629330Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ab34dc2d-e23d-4454-9cd1-7c928427c8b7 · outbound

This paper cites Presentations for three remark- able submonoids of the dihedral inverse monoid on a ﬁnite set.

Short presentations for transformation monoids Presentations for three remark- able submonoids of the dihedral inverse monoid on a ﬁnite set

Reference 19

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.613301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 40ba413e-adff-4f35-a1f1-9d04c892c4e3 · outbound

This paper cites Braids and partial permutations.

Short presentations for transformation monoids Braids and partial permutations

Reference 20

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.717830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8710fdab-82fa-45c3-a835-ee7242d005cf · outbound

This paper cites Vines and partial transformations.

Short presentations for transformation monoids Vines and partial transformations

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.863591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 80c0eebb-d56c-456b-83dc-16bb12924d5d · outbound

This paper cites doi: https://doi.org/10.1016/j.aim.2007.06.005.

Short presentations for transformation monoids doi: https://doi.org/10.1016/j.aim.2007.06.005

Reference 22

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.726816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 98ee80f2-5969-431a-a5a3-daf72618acab · outbound

This paper cites A singular Coxeter presentation.

Short presentations for transformation monoids A singular Coxeter presentation

Reference 23

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.608849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 50e35246-7a70-4782-a505-87b13b0d0654 · outbound

This paper cites Ganyushkin and V.

Short presentations for transformation monoids Ganyushkin and V

Reference 24

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.718174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c9ca39c3-ddf1-46b7-86d4-bf298983b2f1 · outbound

This paper cites The GAP Group.

Short presentations for transformation monoids The GAP Group

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.874785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5b5927b5-d1dc-42d3-8372-38cfdc79429b · outbound

This paper cites Pre sentations of ﬁnite simple groups: A quantitative approach.

Short presentations for transformation monoids Pre sentations of ﬁnite simple groups: A quantitative approach

Reference 26

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.660972Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 56fae017-1807-4b3b-8d68-9bc43885b2f2 · outbound

This paper cites On the diameter of permutation groups.

Short presentations for transformation monoids On the diameter of permutation groups

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.756228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6fd25e8-372b-44ee-bf7f-2f2054028cfa · outbound

This paper cites an unresolved cited work.

Short presentations for transformation monoids Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-05-25T08:56:49.870985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0b572efb-b45e-4eda-8fb0-03e072fe8659 · outbound

This paper cites On a set of generating relations of the full transformation semigroups.

Short presentations for transformation monoids On a set of generating relations of the full transformation semigroups

Reference 29

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.682044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 717f25c7-56e1-4c93-9484-39a136a9f80d · outbound

This paper cites Inﬁnite presentations for fundamental grou ps of surfaces.

Short presentations for transformation monoids Inﬁnite presentations for fundamental grou ps of surfaces

Reference 30

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.649202Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4c036ff2-70ae-4f62-a8b3-44aa2e22a7d8 · outbound

This paper cites Presentations of ﬁnite simple groups: a computational approach.

Short presentations for transformation monoids Presentations of ﬁnite simple groups: a computational approach

Reference 31

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.730207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 91f4c060-a92f-4497-b2bd-9bcce1f2b363 · outbound

This paper cites an unresolved cited work.

Short presentations for transformation monoids Unresolved cited work

Reference 32

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.713042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5fa71358-5249-4c1b-b856-ef1b76ca28d6 · outbound

This paper cites Concerning the abstract groups of order k! and (1/2)k! holohedrically isomorphic with the symmetric and the alternating substitution-groups on k letters.

Short presentations for transformation monoids Concerning the abstract groups of order k! and (1/2)k! holohedrically isomorphic with the symmetric and the alternating substitution-groups on k letters

Reference 33

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.704019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2e0b8239-4b36-460f-a1d7-36d67ec9cfe8 · outbound

This paper cites Pure braid group presentations via longest eleme nts.

Short presentations for transformation monoids Pure braid group presentations via longest eleme nts

Reference 34

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.708602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2693d149-890d-42a9-866e-b37b8c0e7771 · outbound

This paper cites Deﬁning Relations in some Semigroups of Partial T ransformations of a Finite Set.

Short presentations for transformation monoids Deﬁning Relations in some Semigroups of Partial T ransformations of a Finite Set

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.870613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 406ddd07-782b-4f90-9529-78e68d07a23e · outbound

This paper cites Permutation-based presentations for Brin’s higher -dimensional Thompson groups nV.

Short presentations for transformation monoids Permutation-based presentations for Brin’s higher -dimensional Thompson groups nV

Reference 36

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.679025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 182043fb-7da2-4c6c-a106-1487afc8f296 · outbound

This paper cites Presentations for singly-cusped Bianchi groups.

Short presentations for transformation monoids Presentations for singly-cusped Bianchi groups

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.661603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8c932a75-6151-42b1-85ec-b319cc251dfa · outbound

This paper cites Semigroup Presentations.

Short presentations for transformation monoids Semigroup Presentations

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.859682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 89d1dc89-85e1-4cf7-a081-050e082b891a · outbound

This paper cites Deﬁning relations of ﬁnite semigroups of partial tra nsformations.

Short presentations for transformation monoids Deﬁning relations of ﬁnite semigroups of partial tra nsformations

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-25T08:56:49.867114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bee71e87-0eae-4e9a-8c2a-63cfc9bcaaeb · outbound

This paper cites On eﬃcient presentations of the groups PSL( 2, m).

Short presentations for transformation monoids On eﬃcient presentations of the groups PSL( 2, m)

Reference 40

Resolution: verified exact; arxiv_id, observed 2026-05-25T08:56:49.709767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 830a2f9d-c663-407c-8e4f-51f3cee67966 · outbound

This paper cites A presentation for the Eisenstein-Picard m odular group in three com- plex dimensions.

Short presentations for transformation monoids A presentation for the Eisenstein-Picard m odular group in three com- plex dimensions

Reference 41

Resolution: verified exact; doi, observed 2026-05-25T08:56:49.722954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation c119bc9a-a80d-42b6-b1fd-ccf48c20523f · inbound

Relational depth of transformation semigroups and their ideals cites this paper.

Relational depth of transformation semigroups and their ideals Short presentations for transformation monoids

Reference 14

Resolution: verified exact; arxiv_id, observed 2026-05-25T03:01:54.696660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.