Paper Citation Record · LEDGER

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair

As of 16 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2608.09619.

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

pith.paper-citation-record.v1
2608.09619 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:06:50.191008Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

43 of 43 outbound references displayed

verified exact17
verified fuzzy14
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 71183e32-5391-44f1-9b81-e102fc600f3f · outbound

This paper cites Universal characters twisted by roots of unity.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Universal characters twisted by roots of unity

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-11T14:06:50.004369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84aa1bea-3320-4455-8e35-d59818c8e2ed · outbound

This paper cites Character factorisations, $z$-asymmetric partitions and plethysm.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Character factorisations, $z$-asymmetric partitions and plethysm

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.748441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation bdc2d8fe-6ebc-452a-bd51-cd982bc54246 · outbound

This paper cites The Cone of Cyclic Sieving Phenomena.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair The Cone of Cyclic Sieving Phenomena

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.729660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3e548fe4-bc4e-493f-ab20-dbb0e1ac6f75 · outbound

This paper cites Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.710581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b919a6ec-49bb-4d83-843b-25e2541218ff · outbound

This paper cites Factorization of classical characters twisted by roots of unity.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Factorization of classical characters twisted by roots of unity

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.691659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52e06442-3cb0-44b5-8bf7-d4d58ae83b88 · outbound

This paper cites Ayyer and N.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Ayyer and N

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T14:06:50.030166Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d31d5de5-faf3-47aa-a1f9-65c44690b77c · outbound

This paper cites Ciucu and C.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Ciucu and C

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:51.067119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ac6bbbee-15a6-4162-8c61-550aa77bb830 · outbound

This paper cites Garvan, D.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Garvan, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:51.052965Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8d01546c-810e-4c6d-9d25-eaae2ede92b6 · outbound

This paper cites Hidaka and M.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Hidaka and M

Reference 9

Resolution: verified exact; raw_fallback, observed 2026-08-11T14:06:50.592683Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation eb481f39-5e60-4853-80e1-bac05274edfe · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:51.038500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a60d8ceb-22a4-4b87-9507-7e9ca6c847df · outbound

This paper cites Character factorizations for representations of GL(n,C).

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Character factorizations for representations of GL(n,C)

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.449044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6310a071-c1d5-45e4-85c8-d49e94268e42 · outbound

This paper cites Character values at elements of order 2.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Character values at elements of order 2

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.431455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 78d2e127-d159-4b63-bf36-b15d045952d2 · outbound

This paper cites Mar\'in, Schur functions at (1,-1,t,t^ -1 ) : a closed form on the non-identity component of O(4) , preprint, 2026; doi:10.5281/zenodo.21463000.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Mar\'in, Schur functions at (1,-1,t,t^ -1 ) : a closed form on the non-identity component of O(4) , preprint, 2026; doi:10.5281/zenodo.21463000

Reference 13

Resolution: verified exact; doi, observed 2026-08-11T14:06:50.225692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7295de97-c8a1-4bf9-82b6-c2fc75eface2 · outbound

This paper cites Universal symplectic/orthogonal functions and general branching rules.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Universal symplectic/orthogonal functions and general branching rules

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.414460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a63476bb-0949-4125-ad85-0708e43dbb4f · outbound

This paper cites Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Characters of simplylaced nonconnected groups versus characters of nonsimplylaced connected groups

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.396436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cbb30b4b-124a-45d9-a25b-3b469931ac70 · outbound

This paper cites Knutson and T.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Knutson and T

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:51.025122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4c12d744-9692-4a13-804e-4768f86bd3ce · outbound

This paper cites Factorization of classical characters twisted by roots of unity: II.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Factorization of classical characters twisted by roots of unity: II

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.378058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0155fe35-5430-43b7-8a02-678dfad10e98 · outbound

This paper cites Kumari, Characters of classical groups twisted by roots of unity, PhD thesis, Indian Institute of Science, Bangalore, 2023.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Kumari, Characters of classical groups twisted by roots of unity, PhD thesis, Indian Institute of Science, Bangalore, 2023

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:51.011540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c63fe916-28a8-4d84-9136-f5c8c45d4f95 · outbound

This paper cites Lecouvey, Parabolic Kazhdan--Lusztig polynomials, plethysm and generalized Hall--Littlewood functions for classical types, European J.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Lecouvey, Parabolic Kazhdan--Lusztig polynomials, plethysm and generalized Hall--Littlewood functions for classical types, European J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.997764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4771640f-c831-4f95-af78-c4099de99b49 · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.984193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4cc74f4a-c9a0-46f1-a7e0-90d97c0e237a · outbound

This paper cites Lascoux, B.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Lascoux, B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.972627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 98720c35-d14a-4977-b9f7-b78b342806f6 · outbound

This paper cites Skew Schur polynomials and cyclic sieving phenomenon.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Skew Schur polynomials and cyclic sieving phenomenon

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.359429Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 64c95d45-1e30-48db-8906-2237e892d946 · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.960818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4180ff7d-88ea-4cd1-a55d-dc0e2f2f0cef · outbound

This paper cites Reiner, D.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Reiner, D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.948606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 02f351ef-8448-4e48-9fb1-ade1cf5cc4d0 · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.935697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b27104eb-6303-4cf7-b215-a98057436311 · outbound

This paper cites Okada, Applications of minor summation formulas to rectangular-shaped representations of classical groups, J.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Okada, Applications of minor summation formulas to rectangular-shaped representations of classical groups, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.923404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 59ef5895-b9c2-4f10-b9c1-90460398fcf6 · outbound

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

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Prasad, A character relationship on GL_n( ) , Israel J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.910162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6d093d6f-38ca-4d3d-b962-c886a1fd0d6f · outbound

This paper cites Bijective proofs of skew Schur polynomial factorizations.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Bijective proofs of skew Schur polynomial factorizations

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.338398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 165d129c-0057-4b1c-a06b-4f8110539f85 · outbound

This paper cites A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair A Schur function identity related to the (-1)-enumeration of self-complementary plane partitions

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.319173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 52d3ae87-4c07-4e1d-b0cc-32a2acb8438f · outbound

This paper cites A Hopf algebraic approach to the theory of group branchings.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair A Hopf algebraic approach to the theory of group branchings

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.299773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation ff5999a5-a940-46a4-a63d-f4212b19d351 · outbound

This paper cites Gavarini, A Brauer algebra-theoretic proof of Littlewood's restriction rules, J.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Gavarini, A Brauer algebra-theoretic proof of Littlewood's restriction rules, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.897053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 826d0aa6-353e-4749-b4cd-4652f185dd6e · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.884386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7219a00b-b3a3-4ee5-ae2a-2cf37170e52b · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.871066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0caf00fa-c317-439d-ae8c-4997d42b4f54 · outbound

This paper cites Sundaram, Tableaux in the representation theory of the classical Lie groups, in Invariant Theory and Tableaux (Minneapolis, MN, 1988), IMA Vol.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Sundaram, Tableaux in the representation theory of the classical Lie groups, in Invariant Theory and Tableaux (Minneapolis, MN, 1988), IMA Vol

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.857651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b775c000-21c6-4c4b-b7d7-532d6f3debc8 · outbound

This paper cites Ishikawa, S.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Ishikawa, S

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.843990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b0d7a9cd-d5e1-4df6-a224-a9289123679a · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.828953Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 56c5d90b-cc6b-4879-ab2c-f4426d43602d · outbound

This paper cites Koike and I.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Koike and I

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.815619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b60f6b57-5483-45e9-b33f-2c393ddeba3f · outbound

This paper cites Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Cassini, d'Ocagne, and Vajda identities for n-step Fibonacci numbers

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.280567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c50de79c-acc8-4925-9916-866d4bc8576e · outbound

This paper cites Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Murnaghan--Nakayama rules for symplectic, orthogonal and orthosymplectic Schur functions

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-11T14:06:50.260615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fbc3576e-b8dc-4dd7-84fd-63fc7f098912 · outbound

This paper cites Kuperberg, Symmetry classes of alternating-sign matrices under one roof, Ann.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Kuperberg, Symmetry classes of alternating-sign matrices under one roof, Ann

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T14:06:50.802486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 32448584-afb0-4a22-91f0-21f37829936f · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.789372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2b1bc16f-9cbb-410d-aa1a-560b7b269ec2 · outbound

This paper cites Flagged Skew Schur Polynomials Twisted By Roots Of Unity.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Flagged Skew Schur Polynomials Twisted By Roots Of Unity

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T14:06:50.186832Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fde33596-c6b6-42ef-8d5b-be1921adf4b7 · outbound

This paper cites an unresolved cited work.

Factorization of Schur polynomials twisted by roots of unity and a reciprocal pair Unresolved cited work

Reference 43

Resolution: unresolved; raw_fallback, observed 2026-08-11T14:06:50.776617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.