Paper Citation Record · LEDGER

Grokking Group Multiplication with Cosets

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2312.06581.

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

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 2026-08-06T19:10:30.305762Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T02:52:26.921441Z

0 of 0 outbound references displayed

External citation measurements

No source-named external measurement is stored.

No outbound reference observations are available for this paper version.

Observation 9812a14e-b52e-4309-b0e4-b124a97787f5 · inbound

Reference 20

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.

Observation 68bb8c54-ebd1-47bb-808a-5d577b48a88d · inbound

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T19:10:30.305762Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation aba10d69-3135-48b2-8bc4-405a93976e68 · inbound

Reference 10

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.