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Paper Citation Record · LEDGER

Evaluation of two determinants involving $q$-integers

As of 3 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2605.16240.

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

pith.paper-citation-record.v1
2605.16240 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T16:33:23.647339Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-03T06:30:56.289259+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 exact1
  • verified fuzzy10
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59bf282e-8cf7-4c12-b113-9192cdf1ec46 · outbound

This paper cites Brunyate and P.

Evaluation of two determinants involving $q$-integers Brunyate and P

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.252893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:460a6c4912e28b80b693e52ab6acd8be33808c4f120c7ee4e35dc44ff577a118

Observation 7d29ac7e-384f-4f81-911c-c7b8fa3169c9 · outbound

This paper cites an unresolved cited work.

Evaluation of two determinants involving $q$-integers Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:33:34.232149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:b931c4e1649ab42e7aa002ade129765398ac825539b2263612ee0da103869413

Observation 0b61b68a-12bf-46df-bdec-50dfcfa3726e · outbound

This paper cites Huang and H.

Evaluation of two determinants involving $q$-integers Huang and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.256353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:71b14bf797faaa731370d1739e189332fef7889fe4a95c9085c2948ba782bb41

Observation 022e962d-b1a7-4bbe-91f2-4c8ec85c208e · outbound

This paper cites Ireland and M.

Evaluation of two determinants involving $q$-integers Ireland and M

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.254715Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:c58ebaaa8e9e8567e875fb955ca6cf104b70d47469918c4d6d5089be04e2a814

Observation 9a94b577-f361-469a-99c8-1038f61b980c · outbound

This paper cites Paltorp,The matrix determinant lemma.

Evaluation of two determinants involving $q$-integers Paltorp,The matrix determinant lemma

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.240123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:77c75c8b1fe8d22801677638162d7125ad529981c59ead27bd7bce0c43475180

Observation 619f3b57-f0ae-49d8-9dc2-93d38281b17b · outbound

This paper cites Sun,On some determinants with Legendre symbol entries, Finite Fields Appl.

Evaluation of two determinants involving $q$-integers Sun,On some determinants with Legendre symbol entries, Finite Fields Appl

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.236568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:31bce1fc3f4a2ac7bf3ef2fa45782b44e2900e6125c15adcaa2248d59e34c2a5

Observation d6dbb062-1709-45a9-a0ee-d26dbcd4a3e4 · outbound

This paper cites Sun,Evaluatedet[[⌊ aj−(a+1)k n ⌋]q]1⩽j,k⩽n anddet[[⌈ (a+1)j−ak n ⌉]q]1⩽j,k⩽n, Ques- tion 404733 at MathOverflow, Sept.

Evaluation of two determinants involving $q$-integers Sun,Evaluatedet[[⌊ aj−(a+1)k n ⌋]q]1⩽j,k⩽n anddet[[⌈ (a+1)j−ak n ⌉]q]1⩽j,k⩽n, Ques- tion 404733 at MathOverflow, Sept

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.234336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:9977ff346160b43b0f20eba7953dd6ab3b48af83849b62c8aae897c50a22b8ce

Observation 0f8636c0-4cf2-4bc1-ad38-637614f42fee · outbound

This paper cites Arithmetic properties of some permanents.

Evaluation of two determinants involving $q$-integers Arithmetic properties of some permanents

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-20T16:33:34.034304Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:e4fc1bf1c43781a5adda1457407531b3e71f6c959e275050284cf5e0bec0670a

Observation 89df3727-3d99-41c9-aedf-7a00c31ca669 · outbound

This paper cites Sun,On some determinants involving the tangent function, Ramanujan J.64 (2024), 309–332.

Evaluation of two determinants involving $q$-integers Sun,On some determinants involving the tangent function, Ramanujan J.64 (2024), 309–332

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.248580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:5c500980a0dde374643aabd04450555773df733d6b22742427f4fb18fd3182a5

Observation bacd6fd5-ec67-4063-81b4-877b8257de89 · outbound

This paper cites Vrabel, A note on the matrix determinant lemma, Int.

Evaluation of two determinants involving $q$-integers Vrabel, A note on the matrix determinant lemma, Int

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.251077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:d1c3da6438e57a39507f07fa9cc7552d79fee4044874d891a855ff7c1e0cd423

Observation 3762d3ff-fd68-46a5-9a94-54f6772781d5 · outbound

This paper cites Wang and H.-L.

Evaluation of two determinants involving $q$-integers Wang and H.-L

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.238294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:cd3bcc9d388a06e080a68bba610458285421cb77ba10e526dd71945be518d9c8

Observation 13bf61dc-bb0d-448b-880b-2cc23a485994 · outbound

This paper cites Zolotarev,Nouvelle d´ emonstration de la loi de r´ eciprocit´ e de Legendre, Nouvelles Ann.

Evaluation of two determinants involving $q$-integers Zolotarev,Nouvelle d´ emonstration de la loi de r´ eciprocit´ e de Legendre, Nouvelles Ann

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:33:34.242438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-03T06:30:56.289259+00:00.

source=pdf_text observed=2026-05-20T16:33:23.647339Z digest=sha256:4011248e46d51070dc00fabdce6bf27d5585aa9c5f7ff9103ef5cec5ce75e204

Pith citing papers

No inbound Pith citation observations are available.