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Paper Citation Record · LEDGER

The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2305.06316.

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

pith.paper-citation-record.v1
2305.06316 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:20:44.685305Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T06:09:38.098054Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b382cb13-5bab-4903-9339-6ce3c653424c · inbound

Tropical Ptolemy Transformations and Invariants of Braids cites this paper.

Tropical Ptolemy Transformations and Invariants of Braids The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T05:20:44.685305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:20:44.685305Z digest=sha256:7d895494ceebb2b9ed7bbc358defb83bf90ee0d42d944e69aab1b101217ac52b

Observation 2e0858d1-15be-4928-a9f1-47bda0129a87 · inbound

Invariants of the Colored Braid Groupoid cites this paper.

Invariants of the Colored Braid Groupoid The groups $\Gamma_{n}^{4}$, braids, and $3$-manifolds

Reference 20

Resolution
verified exact
arxiv_id, observed 2026-07-04T06:09:38.099849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-06-26T14:42:44.844239Z digest=sha256:0532f30e8dbc4336ef707bfc8c46d5c3b73a3fa60886f4e918246739c4b84823