Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T05:12:57.119912Z
Paper Citation Record · LEDGER
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$
As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2502.03348.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
21 of 21 outbound references displayed
- verified exact3
- verified fuzzy8
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7beae5e6-fb0c-4186-805e-a5921a712c05 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:58.033865Z
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.
Observation 9ae0be1c-02c8-45b1-98a9-6897fac9ce73 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:58.001732Z
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.
Observation 82c8c104-e956-4364-b75d-4ca60e1c3522 · outbound
This paper cites & Merzel, J.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ & Merzel, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.987535Z
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.
Observation acb2b9c5-4059-4247-a319-54122e40a927 · outbound
This paper cites & Merzel, J.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ & Merzel, J
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.973519Z
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.
Observation efe3378c-431f-4eda-a248-6c762736954d · outbound
This paper cites (1978) Circles o f Numbers.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ (1978) Circles o f Numbers
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.959279Z
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.
Observation a822a62d-fa23-443a-ae85-229c20ec81ac · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.944677Z
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.
Observation a1a9eb80-f3c0-4bba-8987-c210c01e51b9 · outbound
This paper cites & Marengoni, A.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ & Marengoni, A
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.885692Z
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.
Observation 3baac0f1-5eba-45a6-8c76-c6c98547c75a · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.808783Z
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.
Observation 4645b1f0-6955-4560-b7e9-2396b64f40ed · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.774120Z
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.
Observation d4fd627a-1590-4092-b80d-aaff6c2508df · outbound
This paper cites The Four Number Game.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ The Four Number Game
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.753021Z
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.
Observation b0df3f22-d803-4ae2-82b5-068809785cfa · outbound
This paper cites & Sch¨ offl, G.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ & Sch¨ offl, G
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.739364Z
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.
Observation 9e0da464-341a-49d0-962c-abce170ccd3d · outbound
This paper cites The Period of Ducci Cycles on $\mathbb{Z}_{2^l}$ for Tuples of Length $2^k$.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ The Period of Ducci Cycles on $\mathbb{Z}_{2^l}$ for Tuples of Length $2^k$
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T05:12:57.369518Z
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.
Observation 0f8602f9-10df-478d-a49a-f4dd3be5194f · outbound
This paper cites Ducci on $\mathbb{Z}_m^n$ and the Maximum Length for $n$ Odd.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Ducci on $\mathbb{Z}_m^n$ and the Maximum Length for $n$ Odd
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T05:12:57.324748Z
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.
Observation a86b5b55-205d-4d4a-acb6-80b0204f417e · outbound
This paper cites The Maximum Length for Ducci Sequences on $\mathbb{}Z_m^n$ when $n$ is Even.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ The Maximum Length for Ducci Sequences on $\mathbb{}Z_m^n$ when $n$ is Even
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T05:12:57.232183Z
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.
Observation 3b16c57f-6f29-4842-aa49-53bc51a5917c · outbound
This paper cites Cycles of differences of inte gers.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Cycles of differences of inte gers
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.714745Z
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.
Observation d024d9aa-7773-44b2-b252-cae590493432 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.690134Z
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.
Observation 9e7d67e9-72e9-447a-846a-a1f3f938d4b2 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.644796Z
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.
Observation 765c549c-7385-4260-b788-094e242963a2 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.599842Z
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.
Observation af457c61-776a-46c6-8517-817fec83fd73 · outbound
This paper cites [Review of Su una interessante curiosit a numerica, by Ciamberlini, C.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ [Review of Su una interessante curiosit a numerica, by Ciamberlini, C
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:12:57.545882Z
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.
Observation 3fcec81d-e06a-4e23-8b18-5c4ba7b1e8da · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.468911Z
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.
Observation d97d0713-01e7-47eb-b701-d0e66a4c77b2 · outbound
This paper cites an unresolved cited work.
Values of Ducci Periods for Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:12:57.409690Z
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.
Pith citing papers
No inbound Pith citation observations are available.