Paper Citation Record · LEDGER

Character theory at a torsion element

As of 23 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2504.14684.

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

pith.paper-citation-record.v1
2504.14684 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:48:51.439389Z

measured 20 of 20 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-11T23:50:32.564434Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:05:42.668718Z

Reference resolution

18 of 18 outbound references displayed

verified exact1
verified fuzzy14
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 72941d44-df58-48ec-8861-6a9385ef9087 · outbound

This paper cites an unresolved cited work.

Character theory at a torsion element Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:48:52.222212Z

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 2a2cb13e-6b78-4566-be28-e50df00859a1 · outbound

This paper cites Bourbaki.

Character theory at a torsion element Bourbaki

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:52.206331Z

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 7e7e9cb7-31ef-412b-bd98-e0f4b89441fc · outbound

This paper cites Bourbaki, Lie groups and Lie algebras.

Character theory at a torsion element Bourbaki, Lie groups and Lie algebras

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:52.190566Z

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 e157fb29-6a40-4019-8d85-366d1c53d61a · outbound

This paper cites Elashvili, V.G.

Character theory at a torsion element Elashvili, V.G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:52.174366Z

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 72bb7e22-c6a6-4b4e-9a0a-7fe0dc75972e · outbound

This paper cites Helgason, Differential geometry, Lie groups, and symmetric spaces , Pure and Applied Mathematics, 80, Academic Press, New York-London, 1978.

Character theory at a torsion element Helgason, Differential geometry, Lie groups, and symmetric spaces , Pure and Applied Mathematics, 80, Academic Press, New York-London, 1978

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:52.157849Z

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 aa395fab-bd73-4201-be17-c8c29bfa22fe · outbound

This paper cites Kac, Simple Lie groups and the Legendre symbol.

Character theory at a torsion element Kac, Simple Lie groups and the Legendre symbol

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:52.013212Z

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 1a985a43-ea0a-4361-8f45-87be02b2c1bb · outbound

This paper cites Character values at elements of order 2.

Character theory at a torsion element Character values at elements of order 2

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:48:51.098781Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e26b5bb7-b1e7-4f94-b222-18cc69b34d27 · outbound

This paper cites Kostant, On M acdonald's -function formula, the L aplacian and generalized exponents , Advances in Math.

Character theory at a torsion element Kostant, On M acdonald's -function formula, the L aplacian and generalized exponents , Advances in Math

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.964475Z

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 f23ebac3-6c37-4a15-9323-680791863080 · outbound

This paper cites Kumar, G.

Character theory at a torsion element Kumar, G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.948216Z

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 bd8e536d-09b8-41ca-b9a5-8b88d9756202 · outbound

This paper cites L\"ubeck and D.

Character theory at a torsion element L\"ubeck and D

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.933289Z

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 ad2a4b00-b0ba-41e7-a7b6-06d1512761d2 · outbound

This paper cites Classification of the root systems $R(m)$.

Character theory at a torsion element Classification of the root systems $R(m)$

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:48:51.501811Z

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 fbffaf75-4aa1-4612-909c-e32f82dc1ae2 · outbound

This paper cites Prasad, A character relationship on (n, ) ; Israel J.

Character theory at a torsion element Prasad, A character relationship on (n, ) ; Israel J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.915967Z

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 37263b01-0fae-489c-989b-77ea52897610 · outbound

This paper cites Prasad, Half the sum of positive roots, the C oxeter element, and a theorem of K ostant , Forum Math.

Character theory at a torsion element Prasad, Half the sum of positive roots, the C oxeter element, and a theorem of K ostant , Forum Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.798454Z

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 0d2c78b3-0a74-4623-a2d8-b01b6554f674 · outbound

This paper cites Reeder, Torsion automorphisms of simple L ie algebras , Enseign.

Character theory at a torsion element Reeder, Torsion automorphisms of simple L ie algebras , Enseign

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.781928Z

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 0f4e2747-dfd3-44ab-9dd8-28c2943469e3 · outbound

This paper cites Reeder, Weyl group characters afforded by zero weight spaces, Transform.

Character theory at a torsion element Reeder, Weyl group characters afforded by zero weight spaces, Transform

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.765778Z

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 d6c05057-b221-4f9f-8750-43808b96ec47 · outbound

This paper cites Reeder, Thomae's function on a Lie group , Pacific J.

Character theory at a torsion element Reeder, Thomae's function on a Lie group , Pacific J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.659577Z

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 a6b3e772-632c-4368-b6cd-ec5b9f344c5b · outbound

This paper cites Serre, Coordonn\'ees de Kac, Oberwolfach Reports.

Character theory at a torsion element Serre, Coordonn\'ees de Kac, Oberwolfach Reports

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:48:51.547908Z

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 4bdedd54-797a-4245-900f-7a43284e584b · outbound

This paper cites Z\'eros de caract\`eres.

Character theory at a torsion element Z\'eros de caract\`eres

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-16T11:48:51.439389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 03e8cd21-c79a-4dc6-b5a8-333be4929451 · inbound

Image of Regular Unipotent under a Representation of $\mathrm{GL}_3(\mathbb{C})$ cites this paper.

Image of Regular Unipotent under a Representation of $\mathrm{GL}_3(\mathbb{C})$ Character theory at a torsion element

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-07-01T12:05:42.671198Z

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 56de041c-8380-4448-8a0f-8cbbe46921bf · inbound

Uniqueness of Branching through regular unipotent elements cites this paper.

Uniqueness of Branching through regular unipotent elements Character theory at a torsion element

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T23:50:32.564434Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.