Paper Citation Record · LEDGER

Andrews-Curtis groups

As of 19 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.23031.

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

pith.paper-citation-record.v1
2506.23031 v2

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:12:26.786981Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

26 of 26 outbound references displayed

verified exact1
verified fuzzy8
unresolved17
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 880ff9a9-2c14-480d-8ee9-67cabcf631bd · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:31.450578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e3d37a98-1ffb-4eaf-99b8-24dc4efa074b · outbound

This paper cites Akbulut and R.

Andrews-Curtis groups Akbulut and R

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:31.264594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6d6c1c6e-4182-4e0d-9276-40de3247bb6b · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:30.999282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation daeabfa3-97ae-4be2-99c0-3c4031923d2e · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:30.828109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 861cc8c0-cda4-433b-8a03-f4d74101c2b1 · outbound

This paper cites Baumslag, A.

Andrews-Curtis groups Baumslag, A

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:30.664067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 15810643-d941-4738-874b-56796067ce4f · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:30.488137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c3ebb815-6d0e-4521-8115-8a5f3322f4b0 · outbound

This paper cites The complexity of balanced presentations and the Andrews-Curtis conjecture.

Andrews-Curtis groups The complexity of balanced presentations and the Andrews-Curtis conjecture

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:24.867332Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e248fb1-55ee-4bd2-a529-53ca401585ce · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:30.269206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 92f3167e-ccff-40f8-9021-3fbe24393748 · outbound

This paper cites Coornaert, T.

Andrews-Curtis groups Coornaert, T

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:30.019427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3ca46c7e-0093-460f-83d9-7641971b4e9d · outbound

This paper cites Ghys and P.

Andrews-Curtis groups Ghys and P

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:29.880459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a79e067d-1e1e-410f-aa6a-f04eaa66b0c8 · outbound

This paper cites Gildenhuys, O.

Andrews-Curtis groups Gildenhuys, O

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:29.686169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1394b986-6f53-420a-b63f-55f595c2ae3d · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:29.545859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4c251e3c-4962-49a6-b43a-2d3e24da36fc · outbound

This paper cites Guirardel and G.

Andrews-Curtis groups Guirardel and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:29.370958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f1b491ee-10c2-4647-85a8-35967cebf2c4 · outbound

This paper cites Havas and C.

Andrews-Curtis groups Havas and C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:29.171166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a95d0bd7-8ff5-4f14-911d-4451d96358e4 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.999141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ad9c0ed9-f0d3-4dc7-b54d-3504731dee11 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.790803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 967eebf4-a6ff-47bc-a6e6-096ef38f4298 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.612473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a20c5367-784a-4cb9-889f-ae163d8680fb · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.417094Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4af8ff85-ecbf-45d1-a32d-3dbca9888d2d · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.212962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation da8debd9-4b34-4dd4-8633-643b06b5245d · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:28.026481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ccd4f480-27a0-4256-b962-d085788f7ac8 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:27.841348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b770622f-1ee8-4125-b874-9ad1fd99262d · outbound

This paper cites Panteleev and A.

Andrews-Curtis groups Panteleev and A

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:12:27.638148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 42234aa9-d228-42bc-b351-8788eb582d48 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:27.426055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a95fe9a6-d0a6-4a54-ac1c-4b413b06e165 · outbound

This paper cites an unresolved cited work.

Andrews-Curtis groups Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:12:27.198285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8a91b481-6bd2-4257-a8db-cb92bb5c6467 · outbound

This paper cites On the Andrews-Curtis groups: non-finite presentability.

Andrews-Curtis groups On the Andrews-Curtis groups: non-finite presentability

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-06T22:12:26.939145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ff966f4-f583-4731-9fa2-faa9303fb280 · outbound

This paper cites What makes math problems hard for reinforcement learning: a case study.

Andrews-Curtis groups What makes math problems hard for reinforcement learning: a case study

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-06T22:12:26.786981Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.