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Paper Citation Record · LEDGER

On commuting pairs in arbitrary sets of 2x2 matrices

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2411.10404.

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

pith.paper-citation-record.v1
2411.10404 v2

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 2026-08-09T06:31:02.800959+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T13:59:06.795258Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-21T23:00:43.620529Z

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 e508233b-e71b-44dd-b287-7866de6a5769 · inbound

Counting matrices over finite rank multiplicative groups cites this paper.

Counting matrices over finite rank multiplicative groups On commuting pairs in arbitrary sets of 2x2 matrices

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-08T13:59:06.795258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T13:59:06.795258Z digest=sha256:53af2d75196255b130e5115357955444e9600ad0d316c6cdcbd477cb8640d192

Observation dd6718bd-b542-468a-ab59-0139443c64f8 · inbound

Counting $2 \times 2$ integer matrices with a given determinant cites this paper.

Counting $2 \times 2$ integer matrices with a given determinant On commuting pairs in arbitrary sets of 2x2 matrices

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:00:43.623079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-21T22:58:45.700030Z digest=sha256:aabc9c7186d846f404d6f0557364382012ed600a4965b63feb4b2f6f15a9198b

Observation aa47c141-496d-4263-9718-f9410606e07d · inbound

On an asymmetric additive energy inequality cites this paper.

On an asymmetric additive energy inequality On commuting pairs in arbitrary sets of 2x2 matrices

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T02:35:59.121244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T02:35:59.121244Z digest=sha256:05c404dbf2b8063f63f9c52e5bccbc8db5a2be4d578f01e9939a9a0ffe68143a