Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:14:45.073436Z
Paper Citation Record · LEDGER
Sum-Essential Graphs of Modules
As of 16 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:1908.05921.
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
10 of 10 outbound references displayed
- verified exact7
- verified fuzzy2
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 17e08917-99a0-4579-a940-8072c3a1ba28 · outbound
This paper cites Akbari, M.
Sum-Essential Graphs of Modules Akbari, M
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:14:45.019591Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d12674a8-91fa-4b6e-9ea2-a55e49429af6 · outbound
This paper cites Akbari, R.
Sum-Essential Graphs of Modules Akbari, R
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.218310Z
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 95a6ddf6-0f18-4100-a16d-0ff4fe6e5808 · outbound
This paper cites Akbari, H.
Sum-Essential Graphs of Modules Akbari, H
Reference 3
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.201631Z
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 12ad03d3-3ab2-4339-b7aa-b62d2a767203 · outbound
This paper cites Amini, B.
Sum-Essential Graphs of Modules Amini, B
Reference 4
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.184325Z
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 6099a159-217e-4503-895a-3ef4e8ae2d6f · outbound
This paper cites Amjadi, The essential ideal graph of a commutative rin g, Asian-Eur.
Sum-Essential Graphs of Modules Amjadi, The essential ideal graph of a commutative rin g, Asian-Eur
Reference 5
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.167309Z
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 3be8a0d5-24c8-4fcf-9b2f-756ce2c62401 · outbound
This paper cites Lam, A First Course in Noncommutative Rings, Spring er-Verlag, New York, 2001.
Sum-Essential Graphs of Modules Lam, A First Course in Noncommutative Rings, Spring er-Verlag, New York, 2001
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:14:45.402508Z
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 69870891-0e6c-4d44-853e-cf96f9b4b67f · outbound
This paper cites Lam, Lectures on Modules and Rings, Springer-Verla g, New York 1999.
Sum-Essential Graphs of Modules Lam, Lectures on Modules and Rings, Springer-Verla g, New York 1999
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:14:45.387374Z
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 67df2537-04d5-4d77-be45-614071e864de · outbound
This paper cites Matczuk, M.
Sum-Essential Graphs of Modules Matczuk, M
Reference 8
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.150230Z
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 9f7607b0-49ac-4f2a-8554-0704c3d8d668 · outbound
This paper cites an unresolved cited work.
Sum-Essential Graphs of Modules Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.134160Z
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 fbce9641-b65b-40e6-b64d-41da530999a4 · outbound
This paper cites an unresolved cited work.
Sum-Essential Graphs of Modules Unresolved cited work
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-14T13:14:45.112205Z
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.