Paper Citation Record · LEDGER

A Characterization of the $2m-4$ Case of Highly Sorted Permutations

As of 17 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2606.08429.

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

pith.paper-citation-record.v1
2606.08429 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T18:22:37.626930Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact5
verified fuzzy0
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9205d79f-a817-478e-a2c6-5b7045556616 · outbound

This paper cites an unresolved cited work.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T18:22:37.626930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c36ff1d-cb04-4bbd-a154-77a7c883b23d · outbound

This paper cites an unresolved cited work.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T18:22:37.626930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 04ac9e0d-1367-4b80-9a44-07bbfde0e471 · outbound

This paper cites 5th ed., World Scientific, 2023, pp.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations 5th ed., World Scientific, 2023, pp

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T18:22:37.626930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d40b304d-6ea9-468c-8e58-ad3792396520 · outbound

This paper cites A Proof of Julian West’s Conjecture That the Number of Two-Stacksortable Permutations of Length N Is 2(3n)!/((N + 1)!(2n + 1)!).

A Characterization of the $2m-4$ Case of Highly Sorted Permutations A Proof of Julian West’s Conjecture That the Number of Two-Stacksortable Permutations of Length N Is 2(3n)!/((N + 1)!(2n + 1)!)

Reference 4

Resolution: verified exact; doi, observed 2026-06-27T18:31:08.221273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6b97b8d7-779d-4fde-abcc-7093ea119b68 · outbound

This paper cites Sorted And/or Sortable Permutations.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Sorted And/or Sortable Permutations

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T18:31:08.219535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 187ac46a-a85a-488b-ae8c-6971c110840b · outbound

This paper cites Sorting and Preimages of Pattern Classes.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Sorting and Preimages of Pattern Classes

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T18:31:08.216307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4425e626-60dc-4c20-9f34-2c2654f83735 · outbound

This paper cites Descents in t-Sorted Permutations.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Descents in t-Sorted Permutations

Reference 7

Resolution: verified exact; doi, observed 2026-06-27T18:31:08.214669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 79938114-0934-493b-9141-2f76b7b92f02 · outbound

This paper cites Highly Sorted Permutations and Bell Numbers.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations Highly Sorted Permutations and Bell Numbers

Reference 8

Resolution: verified exact; doi, observed 2026-06-27T18:31:08.217942Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8e39d436-95d5-4841-85e3-8d5a8393bd85 · outbound

This paper cites A Combinatorial Interpretation of the Eigensequence for Composition.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations A Combinatorial Interpretation of the Eigensequence for Composition

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T18:22:37.626930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d372fe69-7990-404b-b16c-32a2c75e898d · outbound

This paper cites 2022, arks.princeton.edu/ark:/88435/dsp016m311s469.

A Characterization of the $2m-4$ Case of Highly Sorted Permutations 2022, arks.princeton.edu/ark:/88435/dsp016m311s469

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T18:22:37.626930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.