Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:28.426129Z
Paper Citation Record · LEDGER
Computation of the Totient Summatory Function
As of 9 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.07386.
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 2026-08-09T06:31:02.800959+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 exact0
- verified fuzzy4
- unresolved4
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation abe99645-d4dc-4268-9d38-6a9863aa3479 · outbound
This paper cites an unresolved cited work.
Computation of the Totient Summatory Function Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:44:29.744718Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 41a4747e-37ee-4923-8d35-f078007592f7 · outbound
This paper cites an unresolved cited work.
Computation of the Totient Summatory Function Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T05:44:29.581784Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation cee29aa0-2b49-40ce-83be-b738d5f2f395 · outbound
This paper cites We continue to accumulate M ¨obius values to compute Mertens values, and we continue to accumulate terms into X, but we do not save any µ, and only some Mertens values are saved.
Computation of the Totient Summatory Function We continue to accumulate M ¨obius values to compute Mertens values, and we continue to accumulate terms into X, but we do not save any µ, and only some Mertens values are saved
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:44:29.425593Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation aa57ee8a-0fd1-4515-86b0-bd5b46f11518 · outbound
This paper cites and µ(x) ̸= 0.
Computation of the Totient Summatory Function and µ(x) ̸= 0
Reference 4
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-07T05:44:29.292191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 6c267e81-8283-4c9e-819f-824a7d75bb85 · outbound
This paper cites Computing the summation of the M¨obius function.
Computation of the Totient Summatory Function Computing the summation of the M¨obius function
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:44:28.026278Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 08731446-257d-452d-9c7b-dad061661223 · outbound
This paper cites Summing µ(n): a faster elementary algo- rithm.
Computation of the Totient Summatory Function Summing µ(n): a faster elementary algo- rithm
Reference 6
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-07T05:44:28.600239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation 07252801-dc97-4bf1-a13c-485110f68640 · outbound
This paper cites Personal communication.
Computation of the Totient Summatory Function Personal communication
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:44:29.147870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b7382f74-ce42-4f46-b66b-8e8d8dbabb7c · outbound
This paper cites Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time.
Computation of the Totient Summatory Function Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T05:44:28.279284Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2f03ceec-04b0-49f4-abbc-c2846817a635 · outbound
This paper cites Dirichlet convolution.
Computation of the Totient Summatory Function Dirichlet convolution
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:44:28.980870Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Observation b3c86878-2ba3-4399-9f46-f40346070462 · outbound
This paper cites Summing Multiplicative Functions (Pt.
Computation of the Totient Summatory Function Summing Multiplicative Functions (Pt
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T05:44:28.819039Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.
Pith citing papers
No inbound Pith citation observations are available.