Paper Citation Record · LEDGER

Algorithm for computing canonical bases and foldings of quantum groups

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 2 inbound Pith citation observations for arXiv:2506.00793.

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

pith.paper-citation-record.v1
2506.00793 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:04:14.288992Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T21:35:40.786441Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-20T21:39:03.495883Z

Reference resolution

29 of 29 outbound references displayed

verified exact0
verified fuzzy19
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e719fb0c-7ec6-4777-a700-74c2b54d4be5 · outbound

This paper cites Canonical bases via pairing monomials.

Algorithm for computing canonical bases and foldings of quantum groups Canonical bases via pairing monomials

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:10.512939Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fbe6ac5-78ce-4ed2-9171-85c2e5c34df2 · outbound

This paper cites Chari and N.

Algorithm for computing canonical bases and foldings of quantum groups Chari and N

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:20.597342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 28dc1264-4330-4d94-9b2f-f997889ae436 · outbound

This paper cites Deng and J.

Algorithm for computing canonical bases and foldings of quantum groups Deng and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:20.400408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 68b538d6-22fb-4240-a695-4e56c3886b37 · outbound

This paper cites an unresolved cited work.

Algorithm for computing canonical bases and foldings of quantum groups Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:20.218723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d303516e-6507-4ba7-9b5c-ab5f5cc745aa · outbound

This paper cites Grojnowski and G.

Algorithm for computing canonical bases and foldings of quantum groups Grojnowski and G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:20.049442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c4631298-d5c8-43df-aae7-021462fecda3 · outbound

This paper cites an unresolved cited work.

Algorithm for computing canonical bases and foldings of quantum groups Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:19.867835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8b36bec-07ae-4f88-925c-4fad924fb1be · outbound

This paper cites Kashiwara; On crystal bases of the Q -analogue of universal enveloping algebras, Duke Math.

Algorithm for computing canonical bases and foldings of quantum groups Kashiwara; On crystal bases of the Q -analogue of universal enveloping algebras, Duke Math

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:19.520351Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 227215ec-a341-4426-8ee6-54c710672979 · outbound

This paper cites Kirillov; ``Quiver Representations and Quiver Varieties'', Graduate Studies in Math.

Algorithm for computing canonical bases and foldings of quantum groups Kirillov; ``Quiver Representations and Quiver Varieties'', Graduate Studies in Math

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:19.145733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bbc3c1c9-faef-495e-8625-df32a6a23b21 · outbound

This paper cites Khovanov and A.

Algorithm for computing canonical bases and foldings of quantum groups Khovanov and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:18.798703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 236c8bf0-4ab8-4338-9c30-379689cc6309 · outbound

This paper cites Khovanov and A.

Algorithm for computing canonical bases and foldings of quantum groups Khovanov and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:18.504254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 47253068-f413-49c7-8fb5-bbd0539dbe61 · outbound

This paper cites Lusztig; Quantum groups at roots of 1, Geom.

Algorithm for computing canonical bases and foldings of quantum groups Lusztig; Quantum groups at roots of 1, Geom

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:18.165775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c512fdc-67ef-4265-a89a-a1bb0752b55a · outbound

This paper cites Lusztig; Canonical bases arising from quantized enveloping algebras, J.

Algorithm for computing canonical bases and foldings of quantum groups Lusztig; Canonical bases arising from quantized enveloping algebras, J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:12.307502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd6e71a5-d6b7-4a1b-b35e-277658ed00d6 · outbound

This paper cites Lusztig; Quivers, perverse sheaves, and quantized enveloping algebras, J.

Algorithm for computing canonical bases and foldings of quantum groups Lusztig; Quivers, perverse sheaves, and quantized enveloping algebras, J

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:12.401287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 219bbb1d-2ac7-467c-a16e-96cff3efb2cb · outbound

This paper cites Lusztig; Introduction to quantum groups, Progress in Math.

Algorithm for computing canonical bases and foldings of quantum groups Lusztig; Introduction to quantum groups, Progress in Math

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:17.820956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3c6d32fd-10a1-406c-b358-c4dec9cc51fd · outbound

This paper cites Lusztig; Piecewise linear parametrization of canonical bases, Pure and Applied Math.

Algorithm for computing canonical bases and foldings of quantum groups Lusztig; Piecewise linear parametrization of canonical bases, Pure and Applied Math

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:17.611201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fa3ae27c-b861-4076-8ffc-03ba4772c46a · outbound

This paper cites Levendorskii and Y.

Algorithm for computing canonical bases and foldings of quantum groups Levendorskii and Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:17.322655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69940619-26e9-4d65-872b-07a659672223 · outbound

This paper cites an unresolved cited work.

Algorithm for computing canonical bases and foldings of quantum groups Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:16.985960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c7e19c0b-debe-4033-a6d7-31415508ae8b · outbound

This paper cites an unresolved cited work.

Algorithm for computing canonical bases and foldings of quantum groups Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:16.682169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e94645ef-0fa4-403c-a2f7-b91df49b9d0e · outbound

This paper cites an unresolved cited work.

Algorithm for computing canonical bases and foldings of quantum groups Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:04:16.485189Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2f8c21b5-186a-44a2-a8e6-63927d17b556 · outbound

This paper cites Reineke; Feigin's maps and monomial bases for quantized enveloping algebras, Math.

Algorithm for computing canonical bases and foldings of quantum groups Reineke; Feigin's maps and monomial bases for quantized enveloping algebras, Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:16.271049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0e150335-86a0-4490-9eba-71e90ebac6d8 · outbound

This paper cites Reineke; Quivers, desingularizations and canonical.

Algorithm for computing canonical bases and foldings of quantum groups Reineke; Quivers, desingularizations and canonical

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:16.089679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6c078ccc-23b9-49fe-9ddf-1476aa96f0ab · outbound

This paper cites 2-Kac-Moody algebras.

Algorithm for computing canonical bases and foldings of quantum groups 2-Kac-Moody algebras

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.593456Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df3c5256-a8cd-41a8-a721-6b50dfff177d · outbound

This paper cites Rouquier; Quiver Hecke algebras and 2-Lie algebras,.

Algorithm for computing canonical bases and foldings of quantum groups Rouquier; Quiver Hecke algebras and 2-Lie algebras,

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:15.909423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6c2502a5-ff05-4e37-b9ad-18059aa630a5 · outbound

This paper cites Saito; PBW basis of quantized universal enveloping algebras, Publ.

Algorithm for computing canonical bases and foldings of quantum groups Saito; PBW basis of quantized universal enveloping algebras, Publ

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:15.651227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8057c898-be5c-4ce8-b23e-53bf2fbbcb1c · outbound

This paper cites Shoji and Z.

Algorithm for computing canonical bases and foldings of quantum groups Shoji and Z

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:15.458858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f8348391-e079-439a-ac98-f26dbb22f572 · outbound

This paper cites Shoji and Z.

Algorithm for computing canonical bases and foldings of quantum groups Shoji and Z

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T12:04:13.953739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 63b456a8-9550-4547-b54b-d09c3a63ceeb · outbound

This paper cites Varagnolo and E.

Algorithm for computing canonical bases and foldings of quantum groups Varagnolo and E

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:15.259979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d9070fd-f99f-498c-9598-ee5c8cedc063 · outbound

This paper cites Xi; A commutation formula for root vectors in quantized enveloping algebras, Pacific J.

Algorithm for computing canonical bases and foldings of quantum groups Xi; A commutation formula for root vectors in quantized enveloping algebras, Pacific J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:14.963376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 492d3093-5fd2-49a6-b087-f7a48196c53c · outbound

This paper cites Xi; Canonical bases for type B_2 , J.

Algorithm for computing canonical bases and foldings of quantum groups Xi; Canonical bases for type B_2 , J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:04:14.656478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation 5b5ee9f8-f8ee-41b6-932d-ba1ad896e385 · inbound

Monomial bases and canonical bases for quantum affine algebras cites this paper.

Monomial bases and canonical bases for quantum affine algebras Algorithm for computing canonical bases and foldings of quantum groups

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-15T02:18:31.130008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9e602c92-f29c-46a5-8efe-16ca76488a0c · inbound

Monomial bases and canonical bases for quantum affine algebras cites this paper.

Monomial bases and canonical bases for quantum affine algebras Algorithm for computing canonical bases and foldings of quantum groups

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-20T21:39:03.498080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.