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Paper Citation Record · LEDGER

A new group in the Riordan family of matrix groups: the Sprugnoli group

As of 12 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 2 inbound Pith citation observations for arXiv:2605.16633.

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

pith.paper-citation-record.v1
2605.16633 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-20T16:00:35.918072Z

measured 24 of 24 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:10:36.062950Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T08:19:43.956929Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy17
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 066c3777-989a-4097-9835-9a4774f2debd · outbound

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

A new group in the Riordan family of matrix groups: the Sprugnoli group Barry,Riordan Arrays: a Primer, Logic Press

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.965063Z

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=2026-05-20T16:00:35.918072Z digest=sha256:3e39505bc900f47b22f7451de0623037ee38cf4fa84e2c97737323f18579121b

Observation 39649aca-21c5-447e-907f-4775f2167515 · outbound

This paper cites Baccherini, D.

A new group in the Riordan family of matrix groups: the Sprugnoli group Baccherini, D

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.963067Z

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=2026-05-20T16:00:35.918072Z digest=sha256:2cae14fd729c841cdf37621cac0b75c9b73d3ce44bbf6655e4df475e3740074e

Observation ae0f9e71-7156-4852-8be6-c71f9c7bcc51 · outbound

This paper cites Baccherini, D.

A new group in the Riordan family of matrix groups: the Sprugnoli group Baccherini, D

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.966456Z

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=2026-05-20T16:00:35.918072Z digest=sha256:3b8918d4674c098d28374685d0a24f1e5aadffc491db597f37caf46c6a969fe6

Observation d98a6194-a55d-4f7d-b02d-54f97e71714d · outbound

This paper cites Corsani, D.

A new group in the Riordan family of matrix groups: the Sprugnoli group Corsani, D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.959700Z

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=2026-05-20T16:00:35.918072Z digest=sha256:98640c00d1658fac25ef1c7e07a11ec8829d24fd43b2627cbc4371eb506207b2

Observation 444b26a0-44c5-40a8-8de9-f9d3136b666e · outbound

This paper cites an unresolved cited work.

A new group in the Riordan family of matrix groups: the Sprugnoli group Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:03:33.962664Z

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=2026-05-20T16:00:35.918072Z digest=sha256:a7b24da10e5c27c5efee12fcc85b96d73af648b2f8fa2497e5d54e824262b91f

Observation ede64819-1663-4ddc-92a6-6034a9846468 · outbound

This paper cites an unresolved cited work.

A new group in the Riordan family of matrix groups: the Sprugnoli group Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:03:33.961441Z

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=2026-05-20T16:00:35.918072Z digest=sha256:1138bf5381beb1927d4a03d4c508a208b2636020e5fb5932d9c683972b51b2f3

Observation 08cc0fa9-1857-4eee-93bb-463c524d1eae · outbound

This paper cites Luz´ on, D.

A new group in the Riordan family of matrix groups: the Sprugnoli group Luz´ on, D

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.968321Z

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=2026-05-20T16:00:35.918072Z digest=sha256:382fc9d5d68c743a22043999156e1eee33bba05f1e022e1ab4d528b80916d6f2

Observation 8b2a1bf4-01f6-4398-9a83-26c46a3b7350 · outbound

This paper cites Luz´ on, D.

A new group in the Riordan family of matrix groups: the Sprugnoli group Luz´ on, D

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.966661Z

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=2026-05-20T16:00:35.918072Z digest=sha256:de052571d92ad21f1c5ae6638ae970bbffbe917175089cd1a8beba10b0c84739

Observation 7ae13f05-009c-41da-98ac-c8141c3fada5 · outbound

This paper cites Sprugnoli, Arithmetic into geometric progressions through Riordan arrays,Discrete Math.,340(2017), 160–174.

A new group in the Riordan family of matrix groups: the Sprugnoli group Sprugnoli, Arithmetic into geometric progressions through Riordan arrays,Discrete Math.,340(2017), 160–174

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.949999Z

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=2026-05-20T16:00:35.918072Z digest=sha256:f748fa7cd4f86bdeebe9cd6e00bd64a8f5de10b0d1ba3db51c9efadb881b9922

Observation c64ff9dd-96e7-4341-ba9d-546f122806b0 · outbound

This paper cites Merlini and R.

A new group in the Riordan family of matrix groups: the Sprugnoli group Merlini and R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.951457Z

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=2026-05-20T16:00:35.918072Z digest=sha256:b8e46a7b583f2d4f9f43f78035a0df3edbee918f66dc1bd3e3d188717c76685f

Observation 877b8c4f-7f3d-4050-9098-dc4ca0c021bd · outbound

This paper cites Merlini, R.

A new group in the Riordan family of matrix groups: the Sprugnoli group Merlini, R

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.953121Z

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=2026-05-20T16:00:35.918072Z digest=sha256:aef3f28f6b42578050105dc14fc13ba046261aebb8b37e60e4fb30ecc99232f7

Observation 19081035-eeb6-4774-ac5f-b6c9b36f4609 · outbound

This paper cites Merlini, R.

A new group in the Riordan family of matrix groups: the Sprugnoli group Merlini, R

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.945267Z

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=2026-05-20T16:00:35.918072Z digest=sha256:9fce791866fc0bd430f42e7223167d54f035af0714626a636ebd99040063db6d

Observation 6bfbeeb9-7c7b-4915-82ae-a9ef4d06425a · outbound

This paper cites Merlini and R.

A new group in the Riordan family of matrix groups: the Sprugnoli group Merlini and R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.948367Z

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=2026-05-20T16:00:35.918072Z digest=sha256:2c529abc2e089e755f64d70fd5802c46e2e411584b2312e3a30571d27614f232

Observation 492c0016-ed46-4bd8-a0e8-c51b73f39dd8 · outbound

This paper cites Merlini, D.G.

A new group in the Riordan family of matrix groups: the Sprugnoli group Merlini, D.G

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.943699Z

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=2026-05-20T16:00:35.918072Z digest=sha256:1612a25a38334f6fbc44880d1cbea6a38094f8df6249481c63145ba94bf0a689

Observation d666d783-5ff6-4c3b-80cb-2c51a78d852b · outbound

This paper cites Shapiro, R.

A new group in the Riordan family of matrix groups: the Sprugnoli group Shapiro, R

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.950238Z

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=2026-05-20T16:00:35.918072Z digest=sha256:37af2c7227478eda5f1abaa836cbf86603a6d25a42b4886e9f05bfccb78730aa

Observation 1835a606-8518-496e-83e6-7a373d95a4c0 · outbound

This paper cites an unresolved cited work.

A new group in the Riordan family of matrix groups: the Sprugnoli group Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:03:33.943880Z

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=2026-05-20T16:00:35.918072Z digest=sha256:56d6485a0e6f0ac4b19ac953c16af41cd44f67c5552fb3d5a9ad464f34c1217a

Observation 1b2487aa-913e-4ef7-bcfa-d10972928ee3 · outbound

This paper cites an unresolved cited work.

A new group in the Riordan family of matrix groups: the Sprugnoli group Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:03:33.946862Z

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=2026-05-20T16:00:35.918072Z digest=sha256:a9b885515ed16216e9454f7fb1f5941e7b45feb41b58134f1ad48caf4d5a5e88

Observation de11e8cb-3adf-4e4f-9141-69232f983d56 · outbound

This paper cites an unresolved cited work.

A new group in the Riordan family of matrix groups: the Sprugnoli group Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-05-20T16:03:33.955048Z

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=2026-05-20T16:00:35.918072Z digest=sha256:b75a1480a6cefb211183b215c94b94ea7b2d55cdb0e5275edfaf640808e48331

Observation fa0d555f-4020-41bb-9a79-dc3a9d606aa6 · outbound

This paper cites Sprugnoli, A bibliography of Riordan arrays, Preprint, University of Florence.

A new group in the Riordan family of matrix groups: the Sprugnoli group Sprugnoli, A bibliography of Riordan arrays, Preprint, University of Florence

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.953527Z

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=2026-05-20T16:00:35.918072Z digest=sha256:f55559bf2e24413fab5ad0382f83a999ac0bf2671480abd7e5de3428ca77ddc0

Observation e9848d7a-74d2-477e-932a-ce5923cab4eb · outbound

This paper cites Sprugnoli, Riordan array proofs of identities in Gould’s book, Preprint, University of Florence, Italy.

A new group in the Riordan family of matrix groups: the Sprugnoli group Sprugnoli, Riordan array proofs of identities in Gould’s book, Preprint, University of Florence, Italy

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.951876Z

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=2026-05-20T16:00:35.918072Z digest=sha256:44ea9da222d4dbc581ace1a8d2096fefdf1c35957e66bc8e6745f44d93ba8a00

Observation 0a93333f-ec5f-44e3-8301-61c223450953 · outbound

This paper cites Sprugnoli, Riordan arrays and the Abel-Gould identity,Discrete Math.,142(1995), 213–233.

A new group in the Riordan family of matrix groups: the Sprugnoli group Sprugnoli, Riordan arrays and the Abel-Gould identity,Discrete Math.,142(1995), 213–233

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.934063Z

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=2026-05-20T16:00:35.918072Z digest=sha256:f69b335f23b6358e08574e1612f1f0c1ceea120c2d89784db5eb32a07419ecec

Observation 71cb5887-d238-4050-bbb6-9acb8dad0c0b · outbound

This paper cites Sprugnoli, Riordan arrays and combinatorial sums,Discrete Math.,132(1994), 267– 290.

A new group in the Riordan family of matrix groups: the Sprugnoli group Sprugnoli, Riordan arrays and combinatorial sums,Discrete Math.,132(1994), 267– 290

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-20T16:03:33.945590Z

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=2026-05-20T16:00:35.918072Z digest=sha256:13c60d1c7ad0424b59c8d3b5572d33720b45f0c61e52b82e9b80e47eb8baa50b

Pith citing papers

Observation 8024ba16-0d80-42ba-9d13-673785da604e · inbound

Pascal-like Sprugnoli arrays cites this paper.

Pascal-like Sprugnoli arrays A new group in the Riordan family of matrix groups: the Sprugnoli group

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-04T08:19:43.958374Z

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=2026-06-26T11:55:57.503139Z digest=sha256:b3ae6e3cc2b803be0475029657f66f2cc61c0261299a516dbf5258ab87bfa9d4

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

Square roots in the Appell group and Sprugnoli arrays cites this paper.

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