Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-09T06:57:22.250580Z
Paper Citation Record · LEDGER
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$
As of 23 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2607.07566.
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 2026-08-23T06:30:58.430688+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
19 of 19 outbound references displayed
- verified exact2
- verified fuzzy9
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6e1583c9-a237-4ad0-8704-a7954df73d3d · outbound
This paper cites Informatique 1975.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Informatique 1975
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.451848Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8d630f8c-5dcc-4451-b141-43c2e02c214f · outbound
This paper cites Del´ eglise and J.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Del´ eglise and J
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.449386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 90ef4f92-29f6-47bc-90d2-d4235e9a7cc2 · outbound
This paper cites Dress,Fonction sommatoire de la fonction de M¨ obius, 1.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Dress,Fonction sommatoire de la fonction de M¨ obius, 1
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.446983Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0d1a367e-8d49-43ab-8b76-a0de5b84fcbf · outbound
This paper cites Granlund and P.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Granlund and P
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.443976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation a691ea55-5dd1-424e-89bf-669d2dc43c7c · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.441589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation e628a1f5-5d58-42fa-b9a6-37877934ad5e · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.439185Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation c17741b9-d977-4afc-b912-86460bad7a67 · outbound
This paper cites Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Computing $\pi(N)$: An elementary approach in $\tilde{O}(\sqrt{N})$ time
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T07:06:02.936771Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bc1f292c-b04a-411e-a8fc-cc15669e26d5 · outbound
This paper cites Comp.87(2018) 1013 – 1028.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Comp.87(2018) 1013 – 1028
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.436945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 0f4365c6-6785-43a8-abb0-ed5cc2dfa538 · outbound
This paper cites Kotnik and J.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Kotnik and J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.434599Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 06eb4517-cf31-484c-9bfc-644fbd9649f5 · outbound
This paper cites Computing the Mertens function on a GPU.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Computing the Mertens function on a GPU
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-07-09T07:06:02.933075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 377e351a-5f28-41ef-bbf5-eb38c5e752f0 · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.432404Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation b85b9b61-4997-433d-9125-1fa2accd33fb · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.429889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation bf7a921e-b996-426c-8d04-6143e38690e0 · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.426522Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation af044c9d-6913-43b0-ba9a-5247a981abd9 · outbound
This paper cites Mertens, ¨Uber eine zahlentheoretische FunktionSitzungsberichte Akad.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Mertens, ¨Uber eine zahlentheoretische FunktionSitzungsberichte Akad
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.423615Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 53f82900-6911-493d-9d98-938a704f2cfb · outbound
This paper cites Neubauer,Eine empirische Untersuchung zur Mertensschen FunktionNumer.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Neubauer,Eine empirische Untersuchung zur Mertensschen FunktionNumer
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.420971Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation be98e8a3-8119-4eb0-9034-fab04b8e0e27 · outbound
This paper cites London Math.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ London Math
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-09T07:06:03.418251Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 85b5116f-d462-4928-b733-e7d8830ad9ca · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.415589Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 8a3ae43b-302b-4e79-bb26-4f05337fd07b · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.457302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Observation 2c52602a-7d81-4683-a0c6-141308d10e28 · outbound
This paper cites an unresolved cited work.
Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$ Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-07-09T07:06:03.454574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
No inbound Pith citation observations are available.