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Paper Citation Record · LEDGER

Square roots in the Appell group and Sprugnoli arrays

As of 11 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2608.01497.

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

pith.paper-citation-record.v1
2608.01497 v1

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:10:36.205547Z

measured 7 of 7 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

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c4d3dbd8-1d30-4b65-91cb-e56abc4848b5 · outbound

This paper cites A new group in the Riordan family of matrix groups: the Sprugnoli group.

Square roots in the Appell group and Sprugnoli arrays A new group in the Riordan family of matrix groups: the Sprugnoli group

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-06T00:10:36.062950Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:10:36.062950Z digest=sha256:bdc506073dfc7016599d9bc3d61192d262d00254faecb10130458b0f1a5421e6

Observation cc809dcc-6240-4f6b-aa7e-016bb8211e56 · outbound

This paper cites Barry,Riordan Arrays: a Primer, Logic Press, 2017.

Square roots in the Appell group and Sprugnoli arrays Barry,Riordan Arrays: a Primer, Logic Press, 2017

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-06T00:10:36.068628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T00:10:36.068628Z digest=sha256:87ff0556ef1d7a612b7fb96c4e0c9513201e789718b92a85a32656920d1ffad6

Observation 3579e4da-5c4b-4afd-9443-85c9d632bfc0 · outbound

This paper cites Merlini, On the square root of a Bell matrix,Results in Mathematics,76(2021), Article 46, 18 pages.

Square roots in the Appell group and Sprugnoli arrays Merlini, On the square root of a Bell matrix,Results in Mathematics,76(2021), Article 46, 18 pages

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:10:36.323004Z

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.

source=pdf_text observed=2026-08-06T00:10:36.073675Z digest=sha256:5c746b16dde967d7c9dc01241dc9a7d26511a78415828debc8f6b71d7d5e9781

Observation c5de1790-b2b8-4402-a73c-7471922093cf · outbound

This paper cites Shapiro, R.

Square roots in the Appell group and Sprugnoli arrays Shapiro, R

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T00:10:36.306210Z

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.

source=pdf_text observed=2026-08-06T00:10:36.078872Z digest=sha256:f32ea112871e7aaccde4954d0dd3220f5b8b8d1d30aeb7d3002becee785e4006

Observation 92f6d2cc-03fd-448e-8b29-d9e2ada8d73f · outbound

This paper cites an unresolved cited work.

Square roots in the Appell group and Sprugnoli arrays Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:10:36.289869Z

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.

source=pdf_text observed=2026-08-06T00:10:36.195185Z digest=sha256:c03eee7b391454816edf3547e0068ef0f2e87396f66ff830fda56c013c7e7348

Observation d0f73d29-1026-4be1-9daa-d7e34e99d3f1 · outbound

This paper cites an unresolved cited work.

Square roots in the Appell group and Sprugnoli arrays Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:10:36.273791Z

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.

source=pdf_text observed=2026-08-06T00:10:36.200400Z digest=sha256:384a3d6443cab6e569dd14ab63b3ed5e9f4b1d5c67a09072db75466c8a27ab58

Observation 771b7ba1-68ec-4c50-9aae-14c90e7efa5b · outbound

This paper cites an unresolved cited work.

Square roots in the Appell group and Sprugnoli arrays Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-06T00:10:36.257529Z

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.

source=pdf_text observed=2026-08-06T00:10:36.205547Z digest=sha256:bbb2d39c70f9a4ea586c325165590f275b9b388bd04bcf3abe97d6ef278faf21

Pith citing papers

No inbound Pith citation observations are available.