Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:23:58.929290Z
Paper Citation Record · LEDGER
On the third largest prime divisor of an odd perfect number
As of 21 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:1908.09420.
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 2026-08-20T06:33:59.587034+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-11T19:45:27.699165Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 7de9a12c-567b-4532-b0fb-94fb03a80dc7 · outbound
This paper cites Acquaa and S.
On the third largest prime divisor of an odd perfect number Acquaa and S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.141649Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation eaf5af21-e858-444f-9f13-1bbea152ca3f · outbound
This paper cites an unresolved cited work.
On the third largest prime divisor of an odd perfect number Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:23:59.126505Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4e14988c-7731-4b94-9811-2f51b192497a · outbound
This paper cites an unresolved cited work.
On the third largest prime divisor of an odd perfect number Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:23:59.110934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ab3aba93-efa7-46ea-9d52-9139ac5ec794 · outbound
This paper cites Ellia, A remark on the radical of odd perfect numbers, Fibonacci Quarterly 50 3 (2012) 231--234.
On the third largest prime divisor of an odd perfect number Ellia, A remark on the radical of odd perfect numbers, Fibonacci Quarterly 50 3 (2012) 231--234
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.095988Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ec890007-ef61-40bf-a884-66a7e25d768a · outbound
This paper cites Iannucci, The third largest prime divisor of an odd perfect number exceeds one hundred, Mathematics of Computation 69 230 (2000), 867--879.
On the third largest prime divisor of an odd perfect number Iannucci, The third largest prime divisor of an odd perfect number exceeds one hundred, Mathematics of Computation 69 230 (2000), 867--879
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.080001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation c6500a7f-eced-45c9-ad8c-9d65aa980fbf · outbound
This paper cites Klurman, Radical of perfect numbers and perfect numbers among polynomial values, International Journal of Number Theory 12 3 (2016), 585--591.
On the third largest prime divisor of an odd perfect number Klurman, Radical of perfect numbers and perfect numbers among polynomial values, International Journal of Number Theory 12 3 (2016), 585--591
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.064480Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation bda1f235-d19a-4001-be2e-c77922dc08ac · outbound
This paper cites an unresolved cited work.
On the third largest prime divisor of an odd perfect number Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:23:59.048890Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 7f6e4eea-31e1-427d-b47d-b287b4c83985 · outbound
This paper cites Nielsen, Odd perfect numbers, Diophantine equations, and upper bounds, Mathematics of Computation 84 295 (2015), 2549--2567.
On the third largest prime divisor of an odd perfect number Nielsen, Odd perfect numbers, Diophantine equations, and upper bounds, Mathematics of Computation 84 295 (2015), 2549--2567
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.031825Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 06e53ad8-027b-4c89-b10f-ef86d5374354 · outbound
This paper cites Ochem, M.
On the third largest prime divisor of an odd perfect number Ochem, M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:59.016286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation d00de3fa-690b-45a0-8bdc-33b39bb09bc6 · outbound
This paper cites Luca and C.
On the third largest prime divisor of an odd perfect number Luca and C
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:58.999974Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 8aeab62d-632f-499b-b7be-5fd4fd0ae904 · outbound
This paper cites Zelinsky, Upper bounds on the second largest prime factor of an odd perfect number.
On the third largest prime divisor of an odd perfect number Zelinsky, Upper bounds on the second largest prime factor of an odd perfect number
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:58.983829Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 2e1e6d78-de28-4461-af3e-a53f3cb61e21 · outbound
This paper cites Zelinsky, An improvement of an inequality of Ochem and Rao concerning odd perfect numbers, Integers 18 (2018).
On the third largest prime divisor of an odd perfect number Zelinsky, An improvement of an inequality of Ochem and Rao concerning odd perfect numbers, Integers 18 (2018)
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:23:58.967313Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
Observation 1436ad2f-610c-4bc8-b982-2f78cc9f5c5f · inbound
Certified Minimal-Prime Branch Closures for Odd Perfect Numbers cites this paper.
Certified Minimal-Prime Branch Closures for Odd Perfect Numbers On the third largest prime divisor of an odd perfect number
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T19:45:27.699165Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.