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Paper Citation Record · LEDGER

Square roots in the Appell group and Sprugnoli arrays

As of 12 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T00:10:36.073675Z digest=sha256:4dda9021eb00563bae71735e981f69c8f7213742e7183dc05517edf04079b157

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T00:10:36.078872Z digest=sha256:798c53dbfb3cc7e16411d30cdd28e00306bf3542c64ebd9867d3dc23aed2b226

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T00:10:36.195185Z digest=sha256:09c6f79cea4e8992cd05769e447c53118f31b40d6a8266f41b4d5fd344ab2cad

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T00:10:36.200400Z digest=sha256:50d7f81e6c88c7268bc63a08a488f767924b99d0a2d9dd093ae72ba9b1bd9ffb

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-06T00:10:36.205547Z digest=sha256:9d26ffdefc06f5c1add8311ecb7e4e26358604001aae5e0a1a427214531afb66

Pith citing papers

No inbound Pith citation observations are available.