Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T15:20:48.836657Z
Paper Citation Record · LEDGER
The 3n+1 problem: a partition of interest
As of 16 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:1908.01509.
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 2026-08-16T06:30:59.297886+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
8 of 8 outbound references displayed
- verified exact0
- verified fuzzy4
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 81d37066-0dfd-43af-82ab-827a43ed59d6 · outbound
This paper cites an unresolved cited work.
The 3n+1 problem: a partition of interest Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:20:48.949740Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e9255f25-310c-4c18-a08e-123daa0196bf · outbound
This paper cites an unresolved cited work.
The 3n+1 problem: a partition of interest Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:20:48.939337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 112ad814-b476-444d-b08e-f3410a7a4ad9 · outbound
This paper cites It remains to be shown thatall of [3 + 3N0∪4 + 3N0] is indeed hit.
The 3n+1 problem: a partition of interest It remains to be shown thatall of [3 + 3N0∪4 + 3N0] is indeed hit
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:20:48.928489Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e699fd94-73ae-41e6-90a2-bd9eb4aeb610 · outbound
This paper cites an unresolved cited work.
The 3n+1 problem: a partition of interest Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:20:48.916400Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5c7a711a-3154-441e-a749-146af4472556 · outbound
This paper cites an unresolved cited work.
The 3n+1 problem: a partition of interest Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T15:20:48.904225Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation df326aa9-a3b7-49b9-9c9e-6a5335ce6e24 · outbound
This paper cites of any and allN consecutive elements of [N\1], exactlyN are included in the strings.
The 3n+1 problem: a partition of interest of any and allN consecutive elements of [N\1], exactlyN are included in the strings
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:20:48.892562Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation efb11927-1ad7-4d08-bb24-852ec3eb9d41 · outbound
This paper cites of any and all 4m consecutive elements of [N\1], exactly so many are in the strings.
The 3n+1 problem: a partition of interest of any and all 4m consecutive elements of [N\1], exactly so many are in the strings
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:20:48.881633Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation eaa4153e-87b8-4820-b591-8ab7a105048e · outbound
This paper cites If this preimage is 3 (mod 4), take the preimage of it.
The 3n+1 problem: a partition of interest If this preimage is 3 (mod 4), take the preimage of it
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T15:20:48.869644Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.