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Paper Citation Record · LEDGER

$q$-Deformed Discrete Whittaker Processes

As of 18 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2509.02881.

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

pith.paper-citation-record.v1
2509.02881 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T11:26:24.045653Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

12 of 12 outbound references displayed

  • verified exact2
  • verified fuzzy8
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation dab9d4dd-a950-49ee-9e94-c3469639a213 · outbound

This paper cites Gerasimov, S.

$q$-Deformed Discrete Whittaker Processes Gerasimov, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.259307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:23.994964Z digest=sha256:6a038aa2ee2bcfbe0a9a2cb17974d4de7f9f530c548977c8a27f1af6e52a50c9

Observation 2a305acd-cc43-46da-a2e8-174461ff9f1f · outbound

This paper cites ”Macdonald processes.” Probability Theory and Related Fields 158.1 (2014): 225-400.

$q$-Deformed Discrete Whittaker Processes ”Macdonald processes.” Probability Theory and Related Fields 158.1 (2014): 225-400

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.246160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.000228Z digest=sha256:581112d7493fe9fd515adeb2dbe830488a47b9e02862ca1b7995a8832ce14b1f

Observation 7de54b25-af1a-4d6e-a140-95bddc981915 · outbound

This paper cites an unresolved cited work.

$q$-Deformed Discrete Whittaker Processes Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:26:24.232016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.004693Z digest=sha256:be3eae1fca46a17ba3e1d04f7ede8b7527040b02d8145c54eecedd16de1efbd1

Observation d26e4aa9-ea8e-4699-a972-ee32b4df6c95 · outbound

This paper cites Whittaker functions on quantum groups and q-deformed Toda operators.

$q$-Deformed Discrete Whittaker Processes Whittaker functions on quantum groups and q-deformed Toda operators

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:26:24.113741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.009760Z digest=sha256:d3916f633acd41a67428682f9be17f89a70f673338d368d74e2052d60817ed9f

Observation 2840b981-9996-4aae-95cf-6f47abe10517 · outbound

This paper cites ”Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian.” Letters in Mathematical Physics 88 (2009): 39-77.

$q$-Deformed Discrete Whittaker Processes ”Fermionic formulas for eigenfunctions of the difference Toda Hamiltonian.” Letters in Mathematical Physics 88 (2009): 39-77

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.217746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.014623Z digest=sha256:fe3bcd24fb2efd31938a692a94b1a6434c181e6ff7074620980211685dc63ab1

Observation bbf1d673-c645-4e99-9ce9-14d6aeb0b3b5 · outbound

This paper cites an unresolved cited work.

$q$-Deformed Discrete Whittaker Processes Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-05T11:26:24.202890Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.019231Z digest=sha256:007d1c8c371204b985cb403e419643b33412ec8f66c88f2daff89d6b7e49e498

Observation 8c517be5-4a75-4f29-9b52-49a0fb597e5d · outbound

This paper cites ”On q-Deformed-Whittaker Function I.” Communications in Mathematical Physics 294.1 (2010): 97-119.

$q$-Deformed Discrete Whittaker Processes ”On q-Deformed-Whittaker Function I.” Communications in Mathematical Physics 294.1 (2010): 97-119

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.187836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.023955Z digest=sha256:ac07388aeff214b0c51ccb215fef6f02cc255abee58a4eab5c449a83bfd300de

Observation ed1e7549-09f2-4eb4-bb7a-a7855e47c9dd · outbound

This paper cites ”Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups.”.

$q$-Deformed Discrete Whittaker Processes ”Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups.”

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.171915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.028145Z digest=sha256:1351d0c3aa2e95aea354af808edd413c253cf7f9036325a755389bc9f1f2362a

Observation 9a73d2e6-6d39-407b-895e-b6fa6b8f6734 · outbound

This paper cites On a specialization of Toda eigenfunctions.

$q$-Deformed Discrete Whittaker Processes On a specialization of Toda eigenfunctions

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-05T11:26:24.089763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.032595Z digest=sha256:498ab57e5fcf0738aa857ce04010cbe9e6efb8e15c4d9b86d48053710c58408c

Observation 71919425-fb15-4ac9-9efe-1b33f9414b47 · outbound

This paper cites ”Directed polymers and the quantum Toda lattice.” (2012): 437-458.

$q$-Deformed Discrete Whittaker Processes ”Directed polymers and the quantum Toda lattice.” (2012): 437-458

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.158147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.037244Z digest=sha256:84939e4a4813f80a5db9a329a2df92f5dce9257bce828ae82a6d7662a5a3d173

Observation e9343723-1882-4e85-b7e2-03313c8b2ddd · outbound

This paper cites ”Discrete Whittaker processes.” Probability and Mathematical Physics 4.4 (2023): 965- 1002.

$q$-Deformed Discrete Whittaker Processes ”Discrete Whittaker processes.” Probability and Mathematical Physics 4.4 (2023): 965- 1002

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.144287Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.041417Z digest=sha256:13a035ea371aa4f0aab69069153719b281a5b3e405828d3f8f84d734ec6fd602

Observation 0ebc0742-171c-4412-ada7-c7ff35014283 · outbound

This paper cites Chris G., and J.

$q$-Deformed Discrete Whittaker Processes Chris G., and J

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-05T11:26:24.129767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-05T11:26:24.045653Z digest=sha256:0628e7db09d78c36821c086eda66cfc477ae53f986d7ff6212ac410eb72c82fc

Pith citing papers

No inbound Pith citation observations are available.