Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:51.013813Z
Paper Citation Record · LEDGER
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers
As of 8 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2506.01830.
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 2026-08-08T06:32:00.761636+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
7 of 7 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4037e7b4-e78e-4f60-a02f-ace4ae4ca720 · outbound
This paper cites 196, 857–868.↑2 [Eul49] Leonhard Euler, De numeris amicibilibus , Euler Archive - All Works.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers 196, 857–868.↑2 [Eul49] Leonhard Euler, De numeris amicibilibus , Euler Archive - All Works
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.955415Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5da2e951-4c4d-4de4-86b6-711f85a81b3a · outbound
This paper cites Suryanarayana, Super perfect numbers, Elem.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers Suryanarayana, Super perfect numbers, Elem
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.387205Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 069d56cf-484e-47a8-bf7d-938460cb85f9 · outbound
This paper cites 19 (1953), 35–39.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers 19 (1953), 35–39
Reference 56
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.171228Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c5392579-6843-45c8-92b2-f81910e8d519 · outbound
This paper cites Satyanarayana, Odd perfect numbers, Math.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers Satyanarayana, Odd perfect numbers, Math
Reference 170
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.572342Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fcdeb6f9-f738-471d-aced-89f9415f7b2e · outbound
This paper cites ↑2 [Gal22] Luis H.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers ↑2 [Gal22] Luis H
Reference 798
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.893219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation de6fb555-9dae-4aa8-bb7c-6facf94bdcc4 · outbound
This paper cites super perfect numbers.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers super perfect numbers
Reference 2004
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T11:47:51.821219Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9e19818e-ec91-4f02-9fbd-611586eca050 · outbound
This paper cites an unresolved cited work.
On a Recursive Integer Sequence Implying the Nonexistence of Odd Perfect Numbers Unresolved cited work
Reference 2010
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T11:47:51.766034Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Pith citing papers
No inbound Pith citation observations are available.