Paper Citation Record · LEDGER

Multiple sums with the M\"obius function

As of 8 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2506.08787.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.08787 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:21:24.027196Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

18 of 18 outbound references displayed

verified exact2
verified fuzzy10
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59c778e4-a972-4165-b675-a2802c7a7134 · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:27.260147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c67d9743-f9c9-4ec4-a2d1-2b69a365700a · outbound

This paper cites Bergelson and A.

Multiple sums with the M\"obius function Bergelson and A

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:27.056996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9b95be2e-75da-4cc1-b3ae-3496819476da · outbound

This paper cites Cai, A remark on the Goldbach-Vinogradov theorem, Funct.

Multiple sums with the M\"obius function Cai, A remark on the Goldbach-Vinogradov theorem, Funct

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:26.922384Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 508dc21a-759f-4e35-bf91-970f7a2a265d · outbound

This paper cites Davenport, On some infinite series involving arithmetical functions II, Quart.

Multiple sums with the M\"obius function Davenport, On some infinite series involving arithmetical functions II, Quart

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T05:21:24.256081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e99fb942-68e8-4289-b623-427d52aa6bfe · outbound

This paper cites Fouvry and S.

Multiple sums with the M\"obius function Fouvry and S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:26.754057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91f26571-95f2-4ef9-9923-ef247a69fc4c · outbound

This paper cites Gafni and N.

Multiple sums with the M\"obius function Gafni and N

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:21:24.577292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 18f27226-bc5f-4dea-b7f6-ebc8ca7dcf1a · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:26.552795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 25b75c5a-afeb-405a-b0bd-f9fd4d56290b · outbound

This paper cites Hajela and B.

Multiple sums with the M\"obius function Hajela and B

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:26.419009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f4eddbf-63ea-4ff8-b6bb-416dfe14826f · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:26.296124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5b162e54-03c0-4b06-bc9b-912841a34318 · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:26.153593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9fadc024-8df0-42d9-9223-9d23727406bd · outbound

This paper cites Iwaniec and E.

Multiple sums with the M\"obius function Iwaniec and E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:25.941042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d4b8915-6702-4ee7-8b4a-6725b195e33b · outbound

This paper cites Matom¨ aki, X.

Multiple sums with the M\"obius function Matom¨ aki, X

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:25.707939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4ec41350-cbc7-491a-8bd6-8b67cb24f088 · outbound

This paper cites Matthiesen, J.

Multiple sums with the M\"obius function Matthiesen, J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:25.485166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e570de69-8fa3-4984-b4f5-5f5d367e064c · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:25.337963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8ebd95f9-1631-4ce8-af16-6e840a66565d · outbound

This paper cites Sarnak,Three lectures on the M¨ obius function, randomness and dynamics, 2011 (avail- able fromhttps://publications.ias.edu/node/506).

Multiple sums with the M\"obius function Sarnak,Three lectures on the M¨ obius function, randomness and dynamics, 2011 (avail- able fromhttps://publications.ias.edu/node/506)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:25.186869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d1612930-2fe8-4438-8cda-9b6b14756cb3 · outbound

This paper cites an unresolved cited work.

Multiple sums with the M\"obius function Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:21:25.051102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 216a22b8-e59f-4b78-baa6-c5a99bd79ef3 · outbound

This paper cites Zhan, On the representation of large odd integer as a sum of three almost equal primes, Acta Math.

Multiple sums with the M\"obius function Zhan, On the representation of large odd integer as a sum of three almost equal primes, Acta Math

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:24.880093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c83660e9-4956-4843-8850-c1175234878c · outbound

This paper cites Zhang, On an exponential sum related to the M¨ obius function, Proc.

Multiple sums with the M\"obius function Zhang, On an exponential sum related to the M¨ obius function, Proc

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:21:24.720193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.