Paper Citation Record · LEDGER

Trickle groups

As of 12 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2412.04932.

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

pith.paper-citation-record.v1
2412.04932 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:14:48.618585Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T13:45:53.680452Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T13:45:53.861154Z

Reference resolution

13 of 13 outbound references displayed

verified exact4
verified fuzzy2
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5e736203-e16c-41cb-affa-a9390e8af95c · outbound

This paper cites Circular orderability and quandles.

Trickle groups Circular orderability and quandles

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:14:48.719218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 53bdb1bd-a9d6-4351-8ba3-f98747a88449 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.911886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38e3929c-34e0-4e32-999b-c8a5a4234860 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.900597Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ee422581-ccbe-4fc9-8038-a739fc38d3b8 · outbound

This paper cites Cactus groups and Lusztig's asymptotic algebra.

Trickle groups Cactus groups and Lusztig's asymptotic algebra

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:14:48.656115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 450b9356-98de-4041-8000-1502563f5598 · outbound

This paper cites equivalence.

Trickle groups equivalence

Reference 160

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:48.863879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 68d0e053-959e-493b-85d2-835fc792ff50 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 1968

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.925264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 33e22b78-8059-47fb-865d-7f6bc2eff1a2 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 1977

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.733587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9208b81c-7b5a-4d6a-92d8-80e8ca144334 · outbound

This paper cites The moduli space of cactus flower curves and the virtual cactus group.

Trickle groups The moduli space of cactus flower curves and the virtual cactus group

Reference 1990

Resolution: unresolved; no resolver link, observed 2026-08-11T21:14:48.595331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bdac19e0-dbd2-4d16-8c08-0bdfd83c4a0e · outbound

This paper cites Real moduli space of stable rational curves revised.

Trickle groups Real moduli space of stable rational curves revised

Reference 2000

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:14:48.673225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c3c56c7d-ab57-4f7f-8a91-a7ccd9b59ee1 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 2012

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.887416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fb09bb29-acd4-44d7-a2b5-013ca39bd4b1 · outbound

This paper cites Cactus groups from the viewpoint of geometric group theory.

Trickle groups Cactus groups from the viewpoint of geometric group theory

Reference 2015

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:14:48.703286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51b54ae2-9aa1-4b81-92ad-d5c53cb02060 · outbound

This paper cites an unresolved cited work.

Trickle groups Unresolved cited work

Reference 2022

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:14:48.938408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 900dc998-792e-44e4-9cdf-f1ab437fc3f4 · outbound

This paper cites Pure Appl.

Trickle groups Pure Appl

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:14:48.875784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 3324d829-12f1-4785-bb06-63bb48d5992f · inbound

Combinatorics of affine cactus groups cites this paper.

Combinatorics of affine cactus groups Trickle groups

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-10T13:45:53.866562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5b721646-2339-4ddc-8189-4fcc39352ff7 · inbound

Stallings foldings for rational subsets of automatic groups cites this paper.

Stallings foldings for rational subsets of automatic groups Trickle groups

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-01T00:28:21.045061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.