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Paper Citation Record · LEDGER

The fluctuations of the mod p rank of triangular matrices

As of 10 August 2026, this Paper Citation Record lists 1 of 1 outbound references and 2 inbound Pith citation observations for arXiv:2508.08788.

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

pith.paper-citation-record.v1
2508.08788 v1

Coverage vector

measured 1 of 1 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:24:18.529674Z

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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T21:24:18.529674Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T21:38:58.966291Z

Reference resolution

1 of 1 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f8c20848-9fa6-42cd-8118-c02fa9b0bb26 · outbound

This paper cites The fluctuations of the mod p rank of triangular matrices.

The fluctuations of the mod p rank of triangular matrices The fluctuations of the mod p rank of triangular matrices

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T21:24:18.529674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:24:18.529674Z digest=sha256:ef2ceffb544d3fbb777fcb2ece387d4c76e84b96f5c05bef1d5616733385d47f

Pith citing papers

Observation f8c20848-9fa6-42cd-8118-c02fa9b0bb26 · inbound

The fluctuations of the mod p rank of triangular matrices cites this paper.

The fluctuations of the mod p rank of triangular matrices The fluctuations of the mod p rank of triangular matrices

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-05T21:24:18.529674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T21:24:18.529674Z digest=sha256:ef2ceffb544d3fbb777fcb2ece387d4c76e84b96f5c05bef1d5616733385d47f

Observation 0180e1b7-580a-40ab-9c52-5cf7c7739233 · inbound

Persistence diagrams of random triangular matrices over finite fields cites this paper.

Persistence diagrams of random triangular matrices over finite fields The fluctuations of the mod p rank of triangular matrices

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-07-03T21:38:58.968043Z

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=2026-06-27T00:16:52.159347Z digest=sha256:344d023f84e61c15431a6fb0ff48d918b52ceb53cad878ae2b0b20b8b789afef