Pith. sign in

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:ac5f3ea04fbfa4384e6d8a0f76ffe9173ec95c4fe15dc1bd9e9b49eb7326cd10

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:e6c245c74c81e52f0c809ddafd684b5ed434746877180f1d6dbf363e8f3410c3

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:cadfafa14cfb718a3b22a892184865c5b25d72eb5ae0f34916c1a8a3ab7a65e1

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:7a6a3d790e6af7fb8c3b63c672831c454ce50b5246cc42875ed6939545789f9f

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:5f7297cb4c360fe55fc7eda1343cda258230f9d0bf00a61ef1e8d2773ac93b25

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:92ea77be859c2f0532c964687a2f389769c2f35cccf9dcd7004f89a0767de202

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:51e984fb703525cd7996c9ac9fb8b356161767534a45756598d52ec3420975bf

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:2ebfd13dd3be8b7e692b873865b3b8e2c15ab7d9395fc1dd3d9207f5c08d7494

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:233a61f1badcc2eb61951aab24d7bbc3084db5329746953cfc75bfe3f9fc60ab

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:966772ffedbc3ab6f91024fbfee5806e1d159ee7d96fc6b0374a1c0b5cdab37c

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:f26fc9989fa44e4ccc491a6eaf36ede0c8024c28e2442da8cb706e9f68067383

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:ed91b6102d7ebeb5931cd167bcb406a836bd9fa60d89387dac36829600dcb887

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:0f53cfd1b8ae19f7a3cbaa173c309d1bb675eada328021c2e8bc1ef7370545aa

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:017ce813bede502253c50e982c60bf80f5a349df543ccf537917640fea2db000

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:4b10d4b6a70801df4b0407abf572850d7d926011217f7212f3cea29f19070693

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:bdceaa812f7c56809864b538f1d8575ed9d40c0ae473cc168f2f731321ece4b4

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:3eae562178d489beaf2b14eed67dd8409e1a6d35f082c9e5a84ca091d9b7618b

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:662c461ab490c78f004a5d0d60e35706123e07c5603ddb08decfa77a334013c1

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:573325cf5c40e2066cded6d5409f2dab89949fc357b3aa83a545822da4c23a5a

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:ef9767c03b51f5234f1c9f09f11c052c6567dc1b1e91e9842cfd4f02eddc48dd

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:3e00f40d899d8420db56598264724713935119be765ccab857ad33defdd65f58

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

source=pdf_text observed=2026-05-20T16:00:35.918072Z digest=sha256:2813d98fb1cead9ef0957c6c82eb4028c2aebe9409cdcf9f989da8720a315bdf

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

source=pdf_text observed=2026-06-26T11:55:57.503139Z digest=sha256:179e4395319dcaf5c45a402e9f5ef7c27aad3600151f617774c76e1fa186f492

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