Paper Citation Record · LEDGER

Note on a sum involving the divisor function

As of 17 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2505.01645.

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

pith.paper-citation-record.v1
2505.01645 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:28:34.999575Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

12 of 12 outbound references displayed

verified exact1
verified fuzzy6
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6186a780-c419-44a8-a1cd-89499a88a0e3 · outbound

This paper cites Mean square of zeta function, circle problem and divisor problem revisited.

Note on a sum involving the divisor function Mean square of zeta function, circle problem and divisor problem revisited

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T04:28:34.904401Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 54b85cdc-c352-4701-bc75-87d7077d95a7 · outbound

This paper cites Bordell` es, L.

Note on a sum involving the divisor function Bordell` es, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.588279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b90889ca-aedb-4611-92a6-567a1fbe0bfe · outbound

This paper cites Bordell` es, On certain sums of number theory, Int.

Note on a sum involving the divisor function Bordell` es, On certain sums of number theory, Int

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.474258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7bef708d-a56a-43f8-8bae-58217b8679de · outbound

This paper cites an unresolved cited work.

Note on a sum involving the divisor function Unresolved cited work

Reference 4

Resolution: verified exact; doi, observed 2026-08-16T04:28:35.157315Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 150fefcc-4f4e-4db2-b97a-c694798c5a5d · outbound

This paper cites an unresolved cited work.

Note on a sum involving the divisor function Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:28:35.460911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 546acaa4-e864-48d0-903a-89229bd79d5f · outbound

This paper cites Jutila, Lectures on a Method in the Theory of Exponential Sums , Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol.

Note on a sum involving the divisor function Jutila, Lectures on a Method in the Theory of Exponential Sums , Tata Institute of Fundamental Research Lectures on Mathematics and Physics, vol

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.448054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 16f9a967-57b4-4ed0-8dfd-c94c24a4d7c6 · outbound

This paper cites an unresolved cited work.

Note on a sum involving the divisor function Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:28:35.348824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bf74fcbb-cb61-4142-a8c0-79d0abbb817e · outbound

This paper cites an unresolved cited work.

Note on a sum involving the divisor function Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:28:35.307106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a9321a19-40be-4ed0-b548-cbf554d9777b · outbound

This paper cites an unresolved cited work.

Note on a sum involving the divisor function Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:28:35.294078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 81556314-49ab-456b-a38e-cdc6d5f67756 · outbound

This paper cites Stucky, The fractional sum of small arithmetic functions, J.

Note on a sum involving the divisor function Stucky, The fractional sum of small arithmetic functions, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.280199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bf54b9f5-5e54-4655-9e50-e37c7a0c737f · outbound

This paper cites Wu, Note on a paper by Bordell` es, Dai, Heyman, Pan and Shp arlinski, Period.

Note on a sum involving the divisor function Wu, Note on a paper by Bordell` es, Dai, Heyman, Pan and Shp arlinski, Period

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.206816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 28d4f473-6ed0-4851-aca8-0dd72d9420d3 · outbound

This paper cites Zhang, On a variant of the prime number theorem, J.

Note on a sum involving the divisor function Zhang, On a variant of the prime number theorem, J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:28:35.185926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.