Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:35:40.538037Z
Paper Citation Record · LEDGER
On odd deficient-perfect numbers with four distinct prime divisors
As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.04932.
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
11 of 11 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation cb7c009b-4ed8-4ab7-97d8-a08983bb534e · outbound
This paper cites Ahn, Y .S.
On odd deficient-perfect numbers with four distinct prime divisors Ahn, Y .S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.686754Z
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 d34d22d7-75e5-4215-9d5c-ecaeba6b8098 · outbound
This paper cites Anavi, P.
On odd deficient-perfect numbers with four distinct prime divisors Anavi, P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.676074Z
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 a5f6884b-46d9-4692-b887-3fe8b5d2360b · outbound
This paper cites an unresolved cited work.
On odd deficient-perfect numbers with four distinct prime divisors Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:40.665868Z
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 945e3bc8-110e-4198-82a2-d59694834f51 · outbound
This paper cites Hagis and G.
On odd deficient-perfect numbers with four distinct prime divisors Hagis and G
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.653945Z
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 1772b172-6a0a-4a35-8ff4-40c053a2eb76 · outbound
This paper cites Kishore, Odd integers n with five distinct prime factors for which 2 − 10− 12 < σ (n)/n < 2 + 10 − 12, Math.
On odd deficient-perfect numbers with four distinct prime divisors Kishore, Odd integers n with five distinct prime factors for which 2 − 10− 12 < σ (n)/n < 2 + 10 − 12, Math
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.643922Z
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 3cf3e155-417e-46b5-ae90-05db814fd2af · outbound
This paper cites an unresolved cited work.
On odd deficient-perfect numbers with four distinct prime divisors Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:40.632454Z
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 3d249c16-b9b9-4d22-b727-e4defcb955aa · outbound
This paper cites Pollack and V.
On odd deficient-perfect numbers with four distinct prime divisors Pollack and V
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.620700Z
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 5f3ef521-4083-4110-b217-d654e544b40a · outbound
This paper cites an unresolved cited work.
On odd deficient-perfect numbers with four distinct prime divisors Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:40.609802Z
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 dce88346-4cf6-4d8d-8fb5-25db793fa898 · outbound
This paper cites Tang and M.
On odd deficient-perfect numbers with four distinct prime divisors Tang and M
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:35:40.597274Z
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 64a850ca-60b7-405c-8166-8303e3b3b54a · outbound
This paper cites an unresolved cited work.
On odd deficient-perfect numbers with four distinct prime divisors Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:40.584441Z
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 58b8f6b4-f0b6-4f7a-925c-6579174d24eb · outbound
This paper cites an unresolved cited work.
On odd deficient-perfect numbers with four distinct prime divisors Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:35:40.571692Z
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.