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Paper Citation Record · LEDGER

A group-theoretic framework for machine learning in hyperbolic spaces

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2501.06934.

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

pith.paper-citation-record.v1
2501.06934 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:33:42.416839Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 0eaa8f54-7c6b-4663-a793-6d56d9c72ebd · inbound

Cartan Networks: Group theoretical Hyperbolic Deep Learning cites this paper.

Cartan Networks: Group theoretical Hyperbolic Deep Learning A group-theoretic framework for machine learning in hyperbolic spaces

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T12:33:42.416839Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T12:33:42.416839Z digest=sha256:22bc1d416adc8c0b053f7503ccf4928bd56383d12ba6b103cfca84e4e89008fc

Observation f7b333c6-8888-42de-bac3-172eecb39b2b · inbound

Busemann energy-based attention for emotion analysis in Poincar\'e discs cites this paper.

Busemann energy-based attention for emotion analysis in Poincar\'e discs A group-theoretic framework for machine learning in hyperbolic spaces

Reference 40

Resolution
verified exact
arxiv_id, observed 2026-05-10T20:40:47.162988Z

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=2026-05-10T17:56:14.081791Z digest=sha256:306ef4d834dbcf3867d58c9f4bc89de6d7e8cae2102287929fae4ff9e2216c2a

Observation 328207f1-2bbc-4391-8b06-7326ada66847 · inbound

Information-Geometric Optimization on Spheres cites this paper.

Information-Geometric Optimization on Spheres A group-theoretic framework for machine learning in hyperbolic spaces

Reference 37

Resolution
verified exact
arxiv_id, observed 2026-06-29T09:03:15.736832Z

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=2026-06-29T08:59:43.953342Z digest=sha256:3ab405177019ee86ea5c28a1f4039c464bb87147808c0d718b113d9250dce2f6