Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:14:25.525745Z
Paper Citation Record · LEDGER
The range of the des statistic for conjugacy classes in $S_n$
As of 8 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2505.22828.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
11 of 11 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4122f291-8d0c-4fdb-9f1c-fff49ffbac8f · outbound
This paper cites Bona,Combinatorics of permutations, Chapman&Hall, CRC, 2004.
The range of the des statistic for conjugacy classes in $S_n$ Bona,Combinatorics of permutations, Chapman&Hall, CRC, 2004
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:28.019993Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6bd9fe59-4843-49ad-a899-ff20822486d9 · outbound
This paper cites Brenti,Permutation enumeration, symmetric functions and unimodality, Pacific Journal of Mathematics Vol.
The range of the des statistic for conjugacy classes in $S_n$ Brenti,Permutation enumeration, symmetric functions and unimodality, Pacific Journal of Mathematics Vol
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:27.670682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation be07f41b-6470-4aaa-a5d1-85db4150fbe6 · outbound
This paper cites Cellini,Cyclic eulerian elements, European Journal of Combinatorics 19 (1998), 545-552.
The range of the des statistic for conjugacy classes in $S_n$ Cellini,Cyclic eulerian elements, European Journal of Combinatorics 19 (1998), 545-552
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:27.324846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 7071ed3f-1948-49b0-8b68-3b6e2ac28d9f · outbound
This paper cites Crochemore, J.
The range of the des statistic for conjugacy classes in $S_n$ Crochemore, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:27.067680Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 39a9dd3d-e352-4ca6-bbd4-26a7e3b9041b · outbound
This paper cites Euler,Methodus universalis series summandi ulterius promota, Euler Archive – All Works, 55 (1741), 147-158.
The range of the des statistic for conjugacy classes in $S_n$ Euler,Methodus universalis series summandi ulterius promota, Euler Archive – All Works, 55 (1741), 147-158
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:26.831525Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation aed13a63-b33c-4c3a-90f3-2c04e582e164 · outbound
This paper cites Fulman,The Distribution of Descents in Fixed Conjugacy Classes of the Symmetric Groups, Journal of Combinatorial Theory, Series A, Volume 84, Issue 2, 1998, Pages 171-180 2.
The range of the des statistic for conjugacy classes in $S_n$ Fulman,The Distribution of Descents in Fixed Conjugacy Classes of the Symmetric Groups, Journal of Combinatorial Theory, Series A, Volume 84, Issue 2, 1998, Pages 171-180 2
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:26.670774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d324675a-e120-4680-b8fd-287f1469649a · outbound
This paper cites A) 64 (1993), 189-215.
The range of the des statistic for conjugacy classes in $S_n$ A) 64 (1993), 189-215
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:14:26.476953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 13456e06-4c70-4c51-a0f4-9d28886f56cf · outbound
This paper cites an unresolved cited work.
The range of the des statistic for conjugacy classes in $S_n$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:14:26.197165Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 5a111565-e6f3-4301-9913-a8661e25c6ea · outbound
This paper cites Permutation Statistics in Conjugacy Classes of the Symmetric Group.
The range of the des statistic for conjugacy classes in $S_n$ Permutation Statistics in Conjugacy Classes of the Symmetric Group
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T13:14:25.396979Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1cd6e7a9-0331-4c24-bf58-4b4e9bf49a56 · outbound
This paper cites an unresolved cited work.
The range of the des statistic for conjugacy classes in $S_n$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:14:25.841897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2a257193-4f74-404e-8065-a7f94defd421 · outbound
This paper cites an unresolved cited work.
The range of the des statistic for conjugacy classes in $S_n$ Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:14:25.637225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.