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Paper Citation Record · LEDGER

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions

As of 20 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2412.09929.

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

pith.paper-citation-record.v1
2412.09929 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T16:45:14.167927Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

9 of 9 outbound references displayed

  • verified exact2
  • verified fuzzy1
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 69da4044-f198-4f72-8b72-c4f1ff57ef96 · outbound

This paper cites an unresolved cited work.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-11T16:45:14.391814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T16:45:14.137478Z digest=sha256:28fa1afd56f103901a8610a02cbbb9322a7a0dc037fdb0415582eb8b1a89b3ec

Observation 78a1008e-b59e-4dda-836c-27f5ad12e8a2 · outbound

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

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions A Survey of $q$-Whittaker polynomials

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-11T16:45:14.141935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T16:45:14.141935Z digest=sha256:11f5e91f3089a02af952cd94cfadc09eeecc17a70b622b369a9d95979f3b6673

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

This paper cites $q$-Whittaker polynomials: bases, branching and direct limits.

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 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T16:45:14.145849Z digest=sha256:5738b65444be76ccedc646435ba289b9f0013ace8f4a0671acd03424f2239cf7

Observation e3aa4bc8-bd62-4b12-9f22-ba8ffac500d8 · outbound

This paper cites A proof of the shuffle conjecture.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions A proof of the shuffle conjecture

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-11T16:45:14.149584Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T16:45:14.149584Z digest=sha256:563c5ad592ddbf4a39ce5cad9795347283d970c0c368168be048941a5c168ac8

Observation f016be92-cc42-40c8-80b0-eb4919bf2b87 · outbound

This paper cites Young tableaux.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions Young tableaux

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T16:45:14.273067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T16:45:14.153403Z digest=sha256:686e7ad5c57323e4473001541ec3fd0bab79200b66e189ea42314a1d59be82dc

Observation 4a7361e3-c897-4a3b-8fc5-cfb5312f1c15 · outbound

This paper cites The \(q,t\) - Catalan numbers and the space of diagonal harmonics.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions The \(q,t\) - Catalan numbers and the space of diagonal harmonics

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-11T16:45:14.156878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T16:45:14.156878Z digest=sha256:6a5430665dc320448fcd78afe9d138112e1fef7e7ab06b494198931308e99c23

Observation 03466c29-db99-4b37-bc37-d213def10d43 · outbound

This paper cites Haglund, M.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions Haglund, M

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-11T16:45:14.160766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T16:45:14.160766Z digest=sha256:70f4736d6853270277c6817a0c766a9c0c2efa22d8f1db441e49f7b51a93cef0

Observation 6f0a6c79-5697-4a7c-be65-6166d52d1ef7 · outbound

This paper cites Lecture notes on the Carlsson-Mellit proof of the shuffle conjecture.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions Lecture notes on the Carlsson-Mellit proof of the shuffle conjecture

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-11T16:45:14.204870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=arxiv_source observed=2026-08-11T16:45:14.163901Z digest=sha256:6e71073236659f277c4799bc19e0f27d2b14bc12b0a97987792b6ac91d348475

Observation 613fc308-4173-4471-8857-c454b346c0a7 · outbound

This paper cites an unresolved cited work.

Equating Inv-Quinv formulas for the $q$-Whittaker and modified Hall-Littlewood functions Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-11T16:45:14.167927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-11T16:45:14.167927Z digest=sha256:e79068f79b44956fdfe09130668977d0a13942e92c76ae1c82b12d6827580857

Pith citing papers

No inbound Pith citation observations are available.