Paper Citation Record · LEDGER

Cycle type of random permutations: A toolkit

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2104.12019.

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

pith.paper-citation-record.v1
2104.12019 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T10:41:16.869262Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T14:59:29.099544Z

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 528878fa-b2db-423e-a704-8459d8708305 · inbound

Groupoid Cardinality and Random Permutations cites this paper.

Groupoid Cardinality and Random Permutations Cycle type of random permutations: A toolkit

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T10:41:16.869262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9bae8b00-e2c2-4036-86db-2f3fb926659b · inbound

Classical and quantum algorithms for characters of the symmetric group cites this paper.

Classical and quantum algorithms for characters of the symmetric group Cycle type of random permutations: A toolkit

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T17:12:50.001439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 044cd301-d7be-49d5-ade7-722d939fc612 · inbound

Minimum degree edge-disjoint Hamilton cycles in random directed graphs cites this paper.

Minimum degree edge-disjoint Hamilton cycles in random directed graphs Cycle type of random permutations: A toolkit

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-09T14:59:29.109191Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3876552b-6947-484a-a263-d95c92f92e9d · inbound

Crystalline Spectral Form Factors cites this paper.

Crystalline Spectral Form Factors Cycle type of random permutations: A toolkit

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-03T17:07:45.057756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 997dee1b-2dba-4117-a179-7fdbd432ea17 · inbound

Permutation theory governs long-term dynamics of critical Boolean networks cites this paper.

Permutation theory governs long-term dynamics of critical Boolean networks Cycle type of random permutations: A toolkit

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T04:20:46.913094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.