Paper Citation Record · LEDGER

Practical Computations of the Mertens Function: $M(10^{24})$ and $M(10^{25})$

As of 8 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.

pith.paper-citation-record.v1
2607.07566 v1

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-09T06:57:22.250580Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.