Paper Citation Record · LEDGER

Constructing reducibly geometrically finite subgroups of the mapping class group

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2501.13234.

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

pith.paper-citation-record.v1
2501.13234 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:34:13.232141Z

measured 39 of 39 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 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

39 of 39 outbound references displayed

verified exact1
verified fuzzy22
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 75bc8eb4-adc5-4b7e-862f-256b4d04c373 · outbound

This paper cites The virtual H aken conjecture.

Constructing reducibly geometrically finite subgroups of the mapping class group The virtual H aken conjecture

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.081730Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3026c530-8c3c-448e-abf9-591477c50547 · outbound

This paper cites Acylindrical actions on projection complexes.

Constructing reducibly geometrically finite subgroups of the mapping class group Acylindrical actions on projection complexes

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.653624Z

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 92b26325-b2ef-4057-8f48-48a07446a77a · outbound

This paper cites Kent, and Christopher J.

Constructing reducibly geometrically finite subgroups of the mapping class group Kent, and Christopher J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.642770Z

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 6310139f-3efb-49ff-b208-efb6c63c20b3 · outbound

This paper cites Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity.

Constructing reducibly geometrically finite subgroups of the mapping class group Thick metric spaces, relative hyperbolicity, and quasi-isometric rigidity

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.631189Z

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 0dc48fd8-d7b2-42cf-b8ae-24571932aed3 · outbound

This paper cites Behrstock.

Constructing reducibly geometrically finite subgroups of the mapping class group Behrstock

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.620466Z

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 2f795ba5-d40c-414e-8250-154f926d68a6 · outbound

This paper cites Bridson and Andr\' e Haefliger.

Constructing reducibly geometrically finite subgroups of the mapping class group Bridson and Andr\' e Haefliger

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.103499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd61af65-9e80-4516-980c-b53aae2de7bc · outbound

This paper cites Geometry and rigidity of mapping class groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Geometry and rigidity of mapping class groups

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.602459Z

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 c79590ec-f4b3-4cc6-8dcf-27f5e086e259 · outbound

This paper cites Birman, Alex Lubotzky, and John McCarthy.

Constructing reducibly geometrically finite subgroups of the mapping class group Birman, Alex Lubotzky, and John McCarthy

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.591144Z

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 98aca17a-733e-42e3-bb59-148d9e21ef82 · outbound

This paper cites Extensions of finitely generated Veech groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Extensions of finitely generated Veech groups

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.114300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 743661e9-2160-460b-860c-78a6eaee7f4b · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.118182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b128391a-8512-4668-bd6a-ed5ebc51e8b6 · outbound

This paper cites Coornaert, T.

Constructing reducibly geometrically finite subgroups of the mapping class group Coornaert, T

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.574541Z

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 5b7a2f52-6cd2-4150-931b-a3df5e0bf25e · outbound

This paper cites An introduction to right-angled A rtin groups.

Constructing reducibly geometrically finite subgroups of the mapping class group An introduction to right-angled A rtin groups

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.564536Z

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 3f3fb4f6-6a54-4e80-a867-4381b49f44fd · outbound

This paper cites Clay, Christopher J.

Constructing reducibly geometrically finite subgroups of the mapping class group Clay, Christopher J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.553918Z

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 aa5b397e-9df6-4fae-a670-3a7bd0d056b1 · outbound

This paper cites Quasi-isometrically embedded subgroups of braid and diffeomorphism groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Quasi-isometrically embedded subgroups of braid and diffeomorphism groups

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.543102Z

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 720fb3a8-4d3b-4aa2-90c7-e152c1f875d8 · outbound

This paper cites Durham, Christopher J.

Constructing reducibly geometrically finite subgroups of the mapping class group Durham, Christopher J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.530482Z

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 65bafcd8-726a-4dba-a386-1c57ad3c99ca · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:34:13.519803Z

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 d4c94a1a-df3b-4b86-bfc1-e395a9bb34aa · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:34:13.509032Z

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 3403e88e-88b2-4b5e-9a3b-6d7c842f85a3 · outbound

This paper cites Convex cocompact subgroups of mapping class groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Convex cocompact subgroups of mapping class groups

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.497257Z

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 463de130-ed1b-4ca0-a5c3-78c6fe961e38 · outbound

This paper cites A primer on mapping class groups , volume 49 of Princeton Mathematical Series.

Constructing reducibly geometrically finite subgroups of the mapping class group A primer on mapping class groups , volume 49 of Princeton Mathematical Series

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.152710Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12591661-62a3-467c-b523-ff92ba2e5eac · outbound

This paper cites Grossman.

Constructing reducibly geometrically finite subgroups of the mapping class group Grossman

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.479462Z

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 5d1ee0fa-4a31-4fe5-a459-e2292908496e · outbound

This paper cites Word hyperbolic extensions of surface groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Word hyperbolic extensions of surface groups

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.161954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 874bc0b7-1228-4730-962e-26a32cb36063 · outbound

This paper cites Algorithms and geometry for graph products of groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Algorithms and geometry for graph products of groups

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.469010Z

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 44abcc9e-940c-4ff6-9a15-1300307cac6f · outbound

This paper cites Thurston.

Constructing reducibly geometrically finite subgroups of the mapping class group Thurston

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.170897Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 61acda58-f457-466a-a600-52ff610fda86 · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.174596Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f38b0d0-479f-45b6-ac85-3d4cf2330148 · outbound

This paper cites Kent and Christopher J.

Constructing reducibly geometrically finite subgroups of the mapping class group Kent and Christopher J

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.444794Z

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 7ad2c417-899e-4ff7-a3ce-1a0bc6153de4 · outbound

This paper cites Atoroidal surface bundles.

Constructing reducibly geometrically finite subgroups of the mapping class group Atoroidal surface bundles

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.182536Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0087b189-176c-4188-bac2-00f0aecc2bdd · outbound

This paper cites Right-angled A rtin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Right-angled A rtin groups and a generalized isomorphism problem for finitely generated subgroups of mapping class groups

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.435024Z

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 4eb00e23-b6d9-48ae-a603-bb8e7502fdaa · outbound

This paper cites Free products of abelian groups in mapping class groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Free products of abelian groups in mapping class groups

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T16:34:13.269935Z

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 66460944-9b3a-444b-a4db-b59f541f7dee · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:34:13.423360Z

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 5aafda2a-7994-4282-b529-9f682023ea8f · outbound

This paper cites A recipe for short-word pseudo- A nosovs.

Constructing reducibly geometrically finite subgroups of the mapping class group A recipe for short-word pseudo- A nosovs

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.412638Z

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 ad86b6ad-11c5-4f57-ab30-e38b09e2cc50 · outbound

This paper cites Masur and Yair N.

Constructing reducibly geometrically finite subgroups of the mapping class group Masur and Yair N

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.203498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6f28e2d-9bd0-48eb-af94-1e7c68f1f4d7 · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.207022Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2521c79f-d2e4-42e9-8675-251cf29f0531 · outbound

This paper cites Problems in the geometry of surface group extensions.

Constructing reducibly geometrically finite subgroups of the mapping class group Problems in the geometry of surface group extensions

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.384773Z

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 65070a85-337d-4d9d-a7d0-0ced9b3f7ca2 · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T16:34:13.370583Z

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 f8cae9f6-164a-4c18-9fbc-951db2df22a7 · outbound

This paper cites Effective generation of right-angled A rtin groups in mapping class groups.

Constructing reducibly geometrically finite subgroups of the mapping class group Effective generation of right-angled A rtin groups in mapping class groups

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.357861Z

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 4883d8a2-51f4-4b9d-9603-168dca1f2338 · outbound

This paper cites Topological methods in group theory.

Constructing reducibly geometrically finite subgroups of the mapping class group Topological methods in group theory

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.347211Z

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 2aff3e8c-cd0b-4b52-9d70-95fce33b5ddb · outbound

This paper cites Affine diffeomorphism groups are undistorted.

Constructing reducibly geometrically finite subgroups of the mapping class group Affine diffeomorphism groups are undistorted

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.336341Z

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 bca38223-7f96-4c32-ae14-937470eb1139 · outbound

This paper cites Combinations of parabolically geometrically finite groups and their geometry.

Constructing reducibly geometrically finite subgroups of the mapping class group Combinations of parabolically geometrically finite groups and their geometry

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T16:34:13.325461Z

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 f82a953c-1ec8-4efc-a291-cbbdc6678e1e · outbound

This paper cites an unresolved cited work.

Constructing reducibly geometrically finite subgroups of the mapping class group Unresolved cited work

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T16:34:13.232141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

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