Paper Citation Record · LEDGER

On the generation problem in Thompson's groups $F_n$

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2606.00863.

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

pith.paper-citation-record.v1
2606.00863 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T17:42:24.312394Z

measured 24 of 24 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T08:02:46.219486Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact6
verified fuzzy0
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation edc8ad80-604a-472e-8b04-1107fa798682 · outbound

This paper cites Aiello and T.

On the generation problem in Thompson's groups $F_n$ Aiello and T

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a1f1f02-3340-4185-88d2-71e6e9eccf21 · outbound

This paper cites Aiello and T.

On the generation problem in Thompson's groups $F_n$ Aiello and T

Reference 2

Resolution: verified exact; doi, observed 2026-06-28T17:52:27.161549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation edd5788c-35bd-462a-aa6c-31d2f8b449cc · outbound

This paper cites Bleak, M.

On the generation problem in Thompson's groups $F_n$ Bleak, M

Reference 3

Resolution: verified exact; doi, observed 2026-06-28T17:52:27.158003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 580b116d-78df-4c4f-a8e1-105018ad7e6e · outbound

This paper cites Belk and B.

On the generation problem in Thompson's groups $F_n$ Belk and B

Reference 4

Resolution: verified exact; doi, observed 2026-06-28T17:52:27.155846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 55ca3447-6942-47a9-b280-16c431bf2da4 · outbound

This paper cites Pseudo-$F_4$ is isomorphic to $F_4$.

On the generation problem in Thompson's groups $F_n$ Pseudo-$F_4$ is isomorphic to $F_4$

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-01T20:46:14.146783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation cb82f3fd-caaf-4ede-ba8f-2973ac52bc86 · outbound

This paper cites 78 (2008), no.

On the generation problem in Thompson's groups $F_n$ 78 (2008), no

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10451747-ed24-4406-811a-7359c36bf033 · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8167661-db6f-4cbb-9cc3-b21fe77d486e · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d15923f-0556-4d96-bc98-7897257010f5 · outbound

This paper cites Burillo, K.-U.

On the generation problem in Thompson's groups $F_n$ Burillo, K.-U

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 91b98e6a-bf45-4d0c-a62e-ad0da6621cdd · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7424787e-1d11-4a94-a66f-065519ce4e57 · outbound

This paper cites Golan-Polak,The generation problem in Thompson groupF, Memoirs of the AMS,292, no.

On the generation problem in Thompson's groups $F_n$ Golan-Polak,The generation problem in Thompson groupF, Memoirs of the AMS,292, no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 328a36a1-755e-46e4-8db3-01dd29103ffb · outbound

This paper cites Golan-Polak,On maximal subgroups of Thompson’s groupF, Groups, Geometry, and Dynamics 19 (3), 797-860.doi:10.4171/GGD/795.

On the generation problem in Thompson's groups $F_n$ Golan-Polak,On maximal subgroups of Thompson’s groupF, Groups, Geometry, and Dynamics 19 (3), 797-860.doi:10.4171/GGD/795

Reference 12

Resolution: verified exact; doi, observed 2026-06-28T17:52:27.154186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 6117c7bb-258b-4e36-887f-1f9d786a4ade · outbound

This paper cites Golan and M.

On the generation problem in Thompson's groups $F_n$ Golan and M

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ed944b-ebf8-4769-889c-f6f0de3a9ef7 · outbound

This paper cites Golan-Polak and M.

On the generation problem in Thompson's groups $F_n$ Golan-Polak and M

Reference 14

Resolution: verified exact; doi, observed 2026-06-28T17:52:27.159652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 3f1b65f6-4502-4024-b036-b6d90f068ee7 · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2d8ad38-a0f2-47d4-afed-192d8fd70ff2 · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aa1ae041-bb73-4f76-b5eb-d7e45d41489a · outbound

This paper cites 8, Australian National University, Canberra, 1974.

On the generation problem in Thompson's groups $F_n$ 8, Australian National University, Canberra, 1974

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb79cf79-83d1-4c03-bd5d-623ef82c9cac · outbound

This paper cites an unresolved cited work.

On the generation problem in Thompson's groups $F_n$ Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0403ed3b-b529-4595-b6e5-7afcf1ed08ed · outbound

This paper cites Savchuk,Some graphs related to Thompson’s groupF, In: Combinatorial and Geometric Group Theory, 279–296, Trends Math., Birkhäuser/Springer, Basel, 2010.

On the generation problem in Thompson's groups $F_n$ Savchuk,Some graphs related to Thompson’s groupF, In: Combinatorial and Geometric Group Theory, 279–296, Trends Math., Birkhäuser/Springer, Basel, 2010

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 058819a9-5abe-4857-b9e1-1bd284a7a25e · outbound

This paper cites Savchuk,Schreier graphs of actions of Thompson’s groupFon the unit interval and on the Cantor set, Geom.

On the generation problem in Thompson's groups $F_n$ Savchuk,Schreier graphs of actions of Thompson’s groupFon the unit interval and on the Cantor set, Geom

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c22a3cda-16de-4304-97e8-d3a7c43cfcda · outbound

This paper cites Stein,Groups of piecewise linear homeomorphisms, Trans.

On the generation problem in Thompson's groups $F_n$ Stein,Groups of piecewise linear homeomorphisms, Trans

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dc3a5a4-624a-4637-a016-a34f1c7ac12b · outbound

This paper cites Wladis,Thompson’s groupF(n)is not minimally almost convex, New York J.

On the generation problem in Thompson's groups $F_n$ Wladis,Thompson’s groupF(n)is not minimally almost convex, New York J

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-28T17:42:24.312394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 04a7e410-080b-4e70-a487-11d2017df31b · inbound

Higman--Thompson groups $F_n$ all the way down cites this paper.

Higman--Thompson groups $F_n$ all the way down On the generation problem in Thompson's groups $F_n$

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-11T22:07:35.763269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86fe50b7-f4e1-484f-ad7e-39e37c3af1f7 · inbound

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$ cites this paper.

Irreducible fast sets of bump homeomorphisms generate copies of Thompson's groups $F_n$ On the generation problem in Thompson's groups $F_n$

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T08:02:46.219486Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.