Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T05:17:33.727847Z
Paper Citation Record · LEDGER
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$
As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2502.03345.
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
18 of 18 outbound references displayed
- verified exact1
- verified fuzzy2
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation e81a1937-0b62-4978-9591-a9c4acd2ee4f · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.666976Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9ceb4e03-355f-47af-963d-a3091d1ee84e · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.671835Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 76af896c-ec09-417d-8a8b-1d04b662fb45 · outbound
This paper cites & Merzel, J.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ & Merzel, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:17:33.851116Z
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 f184d586-5b29-4428-9eb4-fc2eaa79849f · outbound
This paper cites (1978) Circles o f Numbers.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ (1978) Circles o f Numbers
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.680466Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b34a99d-6a6c-48d0-a26d-636d22f83b51 · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:17:33.835659Z
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 a04c22fd-d4b9-4d91-a2ba-9a5406a26f43 · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.687804Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90b330ee-5982-4edf-a2dc-c1f55b98607f · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.691048Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c64704cd-b16c-446d-96fe-3fb66980301f · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.693884Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4216f3fd-4078-4d4d-a1a6-61a4176362b2 · outbound
This paper cites The Four Number Game.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ The Four Number Game
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.697705Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0522017c-a847-4cfc-9583-60708e800bcf · outbound
This paper cites & Sch¨ offl, G.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ & Sch¨ offl, G
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.700640Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30518092-9a37-40d1-8fcf-84a2a1978ad9 · outbound
This paper cites The Period of Ducci Cycles on $\mathbb{Z}_{2^l}$ for Tuples of Length $2^k$.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ The Period of Ducci Cycles on $\mathbb{Z}_{2^l}$ for Tuples of Length $2^k$
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.704216Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8d8c9ae0-db8a-4e1d-85cc-65431929f941 · outbound
This paper cites Leveraging Print Debugging to Improve Code Generation in Large Language Models.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Leveraging Print Debugging to Improve Code Generation in Large Language Models
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-09T05:17:33.762771Z
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 7e3be7e9-6ab1-479f-b520-9704909b5da8 · outbound
This paper cites The Maximum Length for Ducci Sequences on $\mathbb{}Z_m^n$ when $n$ is Even.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ The Maximum Length for Ducci Sequences on $\mathbb{}Z_m^n$ when $n$ is Even
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.712965Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17255cd3-4e63-4d41-ae6c-2930f8b54f9e · outbound
This paper cites & Tefft, S.M.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ & Tefft, S.M
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-09T05:17:33.801758Z
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 d0ac5cb9-dde3-4c08-942a-8286548b14de · outbound
This paper cites Cycles of differences of inte gers.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Cycles of differences of inte gers
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.719005Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e334be0a-6aa4-4872-9208-c30ffcb4846a · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.721734Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e675440f-7e20-4f83-8a2f-2d1bf0f4f384 · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-09T05:17:33.783716Z
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 f325faa4-c2e4-4a78-8569-2c6073bf715c · outbound
This paper cites an unresolved cited work.
Examining $H$-Closed Ducci Sequences on $\mathbb{Z}_m^n$ Unresolved cited work
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-09T05:17:33.727847Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.