Paper Citation Record · LEDGER

Rank recursion for $q$-Whittaker and Macdonald operators

As of 22 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2606.12796.

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

pith.paper-citation-record.v1
2606.12796 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T05:37:38.984910Z

measured 31 of 31 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 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

31 of 31 outbound references displayed

verified exact23
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

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Outbound references

Observation d4a65dce-760e-46e3-b9dd-35765cada440 · outbound

This paper cites Oxford Univer- sity Press (2018).https://doi.org/10.1093/oso/9780198814788.001.0001.

Rank recursion for $q$-Whittaker and Macdonald operators Oxford Univer- sity Press (2018).https://doi.org/10.1093/oso/9780198814788.001.0001

Reference 1

Resolution: metadata mismatch; arxiv_id, observed 2026-06-27T05:40:35.589844Z

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 1dc151d2-66d6-4698-b37b-1dfe423f5c94 · outbound

This paper cites and Noumi, Masatoshi , title =.

Rank recursion for $q$-Whittaker and Macdonald operators and Noumi, Masatoshi , title =

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2a72920d-efeb-44ad-853f-7f77d5bc1a52 · outbound

This paper cites Journal of Physics A: Mathematical and General , abstract =.

Rank recursion for $q$-Whittaker and Macdonald operators Journal of Physics A: Mathematical and General , abstract =

Reference 3

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.593495Z

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 d69ce39c-54f6-4dfa-9e7b-0efd32a0d331 · outbound

This paper cites , TITLE =.

Rank recursion for $q$-Whittaker and Macdonald operators , TITLE =

Reference 4

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.603440Z

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 23036627-3b26-4eaf-9174-86f211f43c0d · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 5

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.574488Z

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 b73dd23d-6bf0-4a63-96c0-9345923409d4 · outbound

This paper cites and Kedem, R.

Rank recursion for $q$-Whittaker and Macdonald operators and Kedem, R

Reference 6

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.612948Z

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 5dc564b8-c019-476d-b2b9-8f6895cdbf29 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 7

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.608467Z

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 9a96dfd9-9317-4669-a6f1-75fd4d443318 · outbound

This paper cites SIGMA Symmetry Integrability Geom.

Rank recursion for $q$-Whittaker and Macdonald operators SIGMA Symmetry Integrability Geom

Reference 8

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.602751Z

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 d3957c68-5281-408d-832b-9bd74951a11f · outbound

This paper cites [2025] 2025 , PAGES =.

Rank recursion for $q$-Whittaker and Macdonald operators [2025] 2025 , PAGES =

Reference 9

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.600278Z

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 b2d417f8-3fec-4b99-ac12-38d1ed961837 · outbound

This paper cites 2005 , PAGES =.

Rank recursion for $q$-Whittaker and Macdonald operators 2005 , PAGES =

Reference 10

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.597524Z

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 9e89115c-b9c7-45ac-8d90-c81f3bd3da53 · outbound

This paper cites Encyclopedia of special functions: the.

Rank recursion for $q$-Whittaker and Macdonald operators Encyclopedia of special functions: the

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f34998a6-2c45-4039-94be-2e31780a70d4 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 12

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.585969Z

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 d77f1eb7-d64a-4074-b4ad-546bf9b06723 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 13

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.582410Z

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 f93d839d-2643-4ce3-b685-c021da304012 · outbound

This paper cites Ole , TITLE =.

Rank recursion for $q$-Whittaker and Macdonald operators Ole , TITLE =

Reference 14

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.604990Z

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 7d5f5c12-9d53-4e59-850c-1f78ab3fc8ab · outbound

This paper cites Representation theory, special functions and.

Rank recursion for $q$-Whittaker and Macdonald operators Representation theory, special functions and

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-06-27T05:40:35.611108Z

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 90d1b6ba-cb39-439f-ae8e-ab742f10be0b · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.573625Z

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 70d6dc85-5a13-4319-be58-9b19c5cc445f · outbound

This paper cites Compositio Math.

Rank recursion for $q$-Whittaker and Macdonald operators Compositio Math

Reference 17

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.606540Z

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 a71fc882-dc11-4d6e-a905-9115c412d6ff · outbound

This paper cites Proceedings of the 16th.

Rank recursion for $q$-Whittaker and Macdonald operators Proceedings of the 16th

Reference 18

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.572878Z

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 a1dc6c18-52e5-4b48-9c31-51b9ba1cfa14 · outbound

This paper cites Borodin and I.

Rank recursion for $q$-Whittaker and Macdonald operators Borodin and I

Reference 19

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.610029Z

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 804ade23-8a72-42fb-bd18-4a0404ce8e91 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 20

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.578586Z

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 aefdbd1e-59b6-4d00-80ed-bbb3deec236a · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.566575Z

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 57c2209f-9249-4cb6-8b85-81e6145f0ba5 · outbound

This paper cites Selecta Math.

Rank recursion for $q$-Whittaker and Macdonald operators Selecta Math

Reference 22

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.614746Z

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 597aa19c-f9e0-4849-93af-7a3e83993c32 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.601812Z

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 be8fb85a-7bbf-4fce-ae1b-400d91a8bb9b · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.595943Z

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 69c85f3a-6151-41de-b8f6-175cfbcb2d8d · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.611611Z

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 d51edc9d-b3d2-4eeb-a8a9-9132bb003385 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b13524e8-0ddf-426f-b4b4-dce2c7ef8f3f · outbound

This paper cites On the Inversion of Certain Matrices , urldate =.

Rank recursion for $q$-Whittaker and Macdonald operators On the Inversion of Certain Matrices , urldate =

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

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Unavailable: canonical work link unavailable.

Observation d15f2b4f-b872-464b-8f8c-925a9af7d1a7 · outbound

This paper cites , title =.

Rank recursion for $q$-Whittaker and Macdonald operators , title =

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d36e4d26-144b-432a-849f-ecdfb827e932 · outbound

This paper cites 1841 , language =.

Rank recursion for $q$-Whittaker and Macdonald operators 1841 , language =

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17fdc775-9b80-4017-9210-842698254d36 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T05:37:38.984910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 35d8bf3d-e071-4c16-ab3c-45739302fc70 · outbound

This paper cites an unresolved cited work.

Rank recursion for $q$-Whittaker and Macdonald operators Unresolved cited work

Reference 31

Resolution: verified exact; doi, observed 2026-06-27T05:40:35.608321Z

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.

Pith citing papers

No inbound Pith citation observations are available.