Paper Citation Record · LEDGER

Bernstein-type inequalities for quantum algebras

As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2501.11399.

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

pith.paper-citation-record.v1
2501.11399 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:33:29.318199Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

21 of 21 outbound references displayed

verified exact0
verified fuzzy15
unresolved5
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6b0e6c30-3feb-4062-a0b3-54a9a1a10a11 · outbound

This paper cites It plays a key role in the theory of /u1D437-modules ([9]).

Bernstein-type inequalities for quantum algebras It plays a key role in the theory of /u1D437-modules ([9])

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.980696Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d0185ee5-ad06-4ab8-be68-2473a9ea1a24 · outbound

This paper cites We recall the construction here referring to [ 7] for further details.

Bernstein-type inequalities for quantum algebras We recall the construction here referring to [ 7] for further details

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.970525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c0f941dc-2b50-4e8b-b589-419d55c45564 · outbound

This paper cites For the algebra /u1D43E/u1D45Banalogous localizations can be deﬁned in a similar manner.

Bernstein-type inequalities for quantum algebras For the algebra /u1D43E/u1D45Banalogous localizations can be deﬁned in a similar manner

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.907843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cf51ce14-e621-412e-90bb-103e0f89d3df · outbound

This paper cites a further localization.

Bernstein-type inequalities for quantum algebras a further localization

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.858348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b79fab2e-d462-493a-854e-890917492e93 · outbound

This paper cites The dimension of the quantum torus /u1D49E/u1D45Bthat arises as a further localization of/u1D43E/u1D45Bwill be used in our proof of the Bernstein-type inequality for/u1D43E/u1D45B.

Bernstein-type inequalities for quantum algebras The dimension of the quantum torus /u1D49E/u1D45Bthat arises as a further localization of/u1D43E/u1D45Bwill be used in our proof of the Bernstein-type inequality for/u1D43E/u1D45B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.808277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5aa94af6-6104-4cf2-a10f-97538672fd13 · outbound

This paper cites Let /u1D45D/u1D456/u1D45E−1 /u1D456not be a root of unity for each 1 ≤ /u1D456≤ /u1D45B.

Bernstein-type inequalities for quantum algebras Let /u1D45D/u1D456/u1D45E−1 /u1D456not be a root of unity for each 1 ≤ /u1D456≤ /u1D45B

Reference 6

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T18:33:29.751153Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c2f80d53-26c0-4877-9425-1c12a246263a · outbound

This paper cites Brookes, Crossed products and ﬁnitely presented groups, J.

Bernstein-type inequalities for quantum algebras Brookes, Crossed products and ﬁnitely presented groups, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.712726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 969bb71e-853b-4651-910f-9dd62ab281fb · outbound

This paper cites an unresolved cited work.

Bernstein-type inequalities for quantum algebras Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:33:29.702108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 451adc4a-3374-4d73-bb30-0f91ff4726c6 · outbound

This paper cites Fukuda, Gelfand-Kirillov dimension for quantized We yl algebras.

Bernstein-type inequalities for quantum algebras Fukuda, Gelfand-Kirillov dimension for quantized We yl algebras

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.692981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3a7d3a55-5b7d-40f5-89dc-04a3930bf122 · outbound

This paper cites an unresolved cited work.

Bernstein-type inequalities for quantum algebras Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:33:29.683019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 36ae7c13-113b-45e0-94db-219ff4352c42 · outbound

This paper cites Goodearl, Jr.R.B.

Bernstein-type inequalities for quantum algebras Goodearl, Jr.R.B

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.673611Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cc1855cf-de3a-46f3-9d85-a7b121741561 · outbound

This paper cites Horton, The Prime and Primitive Spectra of Multi parameter Quantum Symplectic and Euclidean Spaces, Comm.

Bernstein-type inequalities for quantum algebras Horton, The Prime and Primitive Spectra of Multi parameter Quantum Symplectic and Euclidean Spaces, Comm

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.663068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e301ec50-3fb0-47bd-ab10-f3b73852a5c7 · outbound

This paper cites Jordan, A simple localization of the quantized Weyl algebra,J.

Bernstein-type inequalities for quantum algebras Jordan, A simple localization of the quantized Weyl algebra,J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.652991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ea0a9d5-9448-4ac3-b593-8d1df92b3492 · outbound

This paper cites Lenagan, Growth of Algebras and Gelfand-Kirillov Dimension.Graduate Studies in Mathematics 22, American Mathematical Society, Provide nce, RI (2000).

Bernstein-type inequalities for quantum algebras Lenagan, Growth of Algebras and Gelfand-Kirillov Dimension.Graduate Studies in Mathematics 22, American Mathematical Society, Provide nce, RI (2000)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.643004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b15af08c-bae0-4d32-a82c-10258db17050 · outbound

This paper cites an unresolved cited work.

Bernstein-type inequalities for quantum algebras Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:33:29.632730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 44c70662-1f74-476c-b582-49fa8ee5a94c · outbound

This paper cites Maltsiniotis, Groupes quantique et structures diﬀé rentielles, C.

Bernstein-type inequalities for quantum algebras Maltsiniotis, Groupes quantique et structures diﬀé rentielles, C

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.621402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation faaff03f-609d-46c2-ac1d-d51a9c9621c4 · outbound

This paper cites McConnell, J.C.

Bernstein-type inequalities for quantum algebras McConnell, J.C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.568568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 003972ba-a7e7-4fd3-8088-124f85723436 · outbound

This paper cites McConnel, J.J.

Bernstein-type inequalities for quantum algebras McConnel, J.J

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.523041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 00c46d6f-7f53-41f6-8ec9-60bd08e82149 · outbound

This paper cites an unresolved cited work.

Bernstein-type inequalities for quantum algebras Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:33:29.472700Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 75b59c62-5b6e-40d1-947a-c9861bb641bb · outbound

This paper cites an unresolved cited work.

Bernstein-type inequalities for quantum algebras Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:33:29.361116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9bf1aa7c-45f2-4617-9f07-492e12e6cc87 · outbound

This paper cites Bernstein, The analytic continuation of generali zed functions with respect to a parameter, Functional Analysis and Its Applications.

Bernstein-type inequalities for quantum algebras Bernstein, The analytic continuation of generali zed functions with respect to a parameter, Functional Analysis and Its Applications

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:33:29.350105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.