Paper Citation Record · LEDGER

$q$-Whittaker polynomials: bases, branching and direct limits

As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2412.00116.

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

pith.paper-citation-record.v1
2412.00116 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:53:30.389127Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:45:14.145849Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-11T16:45:14.218605Z

Reference resolution

12 of 12 outbound references displayed

verified exact2
verified fuzzy5
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bfcbf754-b3f8-43aa-85f2-324d3b9030c7 · outbound

This paper cites Modified Macdon- ald polynomials and the multispecies zero-range process. I.

$q$-Whittaker polynomials: bases, branching and direct limits Modified Macdon- ald polynomials and the multispecies zero-range process. I

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:53:31.142991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 697f553f-20c9-421f-8ca8-3b916a2481cf · outbound

This paper cites url: https://arxiv.

$q$-Whittaker polynomials: bases, branching and direct limits url: https://arxiv

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-12T10:53:30.356543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 22f46094-b782-41a0-ac90-0574a94bc7de · outbound

This paper cites Crystals for Demazure modules of classical affine Lie algebras.

$q$-Whittaker polynomials: bases, branching and direct limits Crystals for Demazure modules of classical affine Lie algebras

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-12T10:53:30.724163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86d3387e-29ff-4234-9d57-66d81f5850eb · outbound

This paper cites q-Whittaker functions, finite fields, and Jordan forms.

$q$-Whittaker polynomials: bases, branching and direct limits q-Whittaker functions, finite fields, and Jordan forms

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:53:31.058418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0346c9e6-7945-4357-9b8f-1974ea897d5c · outbound

This paper cites Diagonal operators, $q$-Whittaker functions and rook theory.

$q$-Whittaker polynomials: bases, branching and direct limits Diagonal operators, $q$-Whittaker functions and rook theory

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-12T10:53:30.389127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation abd996fb-0b7d-4ac9-bec6-662fea727edd · outbound

This paper cites Nonsymmetric Macdonald polynomials via integrable vertex models.

$q$-Whittaker polynomials: bases, branching and direct limits Nonsymmetric Macdonald polynomials via integrable vertex models

Reference 50

Resolution: metadata mismatch; raw_fallback, observed 2026-08-12T10:53:30.996755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3d38fcd-41db-4bd7-a327-33600d0310e2 · outbound

This paper cites Weyl modules, Demazure modules, KR-modules, crystals, fusion products, limit constructions.

$q$-Whittaker polynomials: bases, branching and direct limits Weyl modules, Demazure modules, KR-modules, crystals, fusion products, limit constructions

Reference 198

Resolution: verified exact; doi, observed 2026-08-12T10:53:30.439497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d287c8b9-575a-4746-a07a-df534752b2e1 · outbound

This paper cites Springer, New York, 2005, pp.

$q$-Whittaker polynomials: bases, branching and direct limits Springer, New York, 2005, pp

Reference 231

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:53:31.125944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6584694f-cc3b-4fd4-ba35-5221d5c19151 · outbound

This paper cites New combinatorial formula for modified Hall-Littlewood polynomials.

$q$-Whittaker polynomials: bases, branching and direct limits New combinatorial formula for modified Hall-Littlewood polynomials

Reference 1990

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:53:31.082392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 093ee857-4736-4581-9b7e-a027694b0033 · outbound

This paper cites A Survey of $q$-Whittaker polynomials.

$q$-Whittaker polynomials: bases, branching and direct limits A Survey of $q$-Whittaker polynomials

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-12T10:53:30.329940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2e97f52-5ce5-417f-a17f-7d7ae791a891 · outbound

This paper cites Subspace Profiles over Finite Fields and $q$-Whittaker Expansions of Symmetric Functions.

$q$-Whittaker polynomials: bases, branching and direct limits Subspace Profiles over Finite Fields and $q$-Whittaker Expansions of Symmetric Functions

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-12T10:53:30.382955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac46b5d5-db08-4636-b554-3b0f80abcf09 · outbound

This paper cites Spin q-Whittaker polynomials.

$q$-Whittaker polynomials: bases, branching and direct limits Spin q-Whittaker polynomials

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T10:53:31.105580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 3102ca1a-c01c-44bb-a62d-a60010455df5 · inbound

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions cites this paper.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions $q$-Whittaker polynomials: bases, branching and direct limits

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-11T16:45:14.222769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.