Paper Citation Record · LEDGER

On the local representation theory of symmetric groups

As of 8 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2506.04773.

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

pith.paper-citation-record.v1
2506.04773 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:42:34.364463Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-19T06:54:01.994820Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-19T06:57:08.064341Z

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy9
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a4b68918-965d-4b00-ae55-a7d8a2e4f121 · outbound

This paper cites Giannelli, Characters of odd degree of symmetric groups, J.

On the local representation theory of symmetric groups Giannelli, Characters of odd degree of symmetric groups, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.524090Z

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 0afff413-8594-41b6-aff9-587a0c57f627 · outbound

This paper cites Giannelli, McKay bijections for symmetric and alternating groups, Algebra Number Theory 15(7) (2021), 1809--1835.

On the local representation theory of symmetric groups Giannelli, McKay bijections for symmetric and alternating groups, Algebra Number Theory 15(7) (2021), 1809--1835

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.513912Z

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 5753cd8b-2212-432f-ad92-431c79876a8e · outbound

This paper cites Giannelli and S.

On the local representation theory of symmetric groups Giannelli and S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.503425Z

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 1b26fb98-dd61-4be2-b257-461428a99977 · outbound

This paper cites Giannelli and S.

On the local representation theory of symmetric groups Giannelli and S

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.493555Z

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 253ea7dc-a1f8-449f-be65-2aa7d9cef49b · outbound

This paper cites an unresolved cited work.

On the local representation theory of symmetric groups Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:34.483532Z

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 b92a0fe4-547f-4bfd-9c40-2bf1e29d86da · outbound

This paper cites James, A.

On the local representation theory of symmetric groups James, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.473452Z

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 31a14929-b308-4105-9e66-6a1136cc8b12 · outbound

This paper cites Law, On problems in the representation theory of symmetric groups, Ph.D.

On the local representation theory of symmetric groups Law, On problems in the representation theory of symmetric groups, Ph.D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.461806Z

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 593602f2-3c25-4a1c-bc9e-b0bace73e449 · outbound

This paper cites an unresolved cited work.

On the local representation theory of symmetric groups Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:42:34.450634Z

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 2667b9b9-a367-4bf1-857c-32489a88ec24 · outbound

This paper cites Navarro , Characters and Blocks of Finite Groups.

On the local representation theory of symmetric groups Navarro , Characters and Blocks of Finite Groups

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.438297Z

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 8a3ac70a-0d94-495f-a6ef-f2f2c89af6cb · outbound

This paper cites Navarro and P.H.Tiep The fields of values of characters of degree not divisible by p , Forum of Math.

On the local representation theory of symmetric groups Navarro and P.H.Tiep The fields of values of characters of degree not divisible by p , Forum of Math

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.427781Z

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 f7755c31-88f9-4750-bbf1-861e28e0e437 · outbound

This paper cites Olsson, McKay numbers and heights of characters, Math.

On the local representation theory of symmetric groups Olsson, McKay numbers and heights of characters, Math

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:42:34.417458Z

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 b043f0c3-032b-47bb-9153-35f7a9ba275b · outbound

This paper cites Olsson , Combinatorics and Representations of Finite Groups.

On the local representation theory of symmetric groups Olsson , Combinatorics and Representations of Finite Groups

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T10:42:34.360973Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation edea8eca-61f1-459d-a63f-6ccf1d8386c1 · outbound

This paper cites The Alperin-McKay conjecture for the prime 2.

On the local representation theory of symmetric groups The Alperin-McKay conjecture for the prime 2

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T10:42:34.399436Z

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

Observation 19ede818-f9ac-46f8-aa58-6312d336c6e0 · inbound

McKay bijections and character degrees cites this paper.

McKay bijections and character degrees On the local representation theory of symmetric groups

Reference 28

Resolution: verified exact; arxiv_id, observed 2026-05-19T06:57:08.067341Z

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.