Paper Citation Record · LEDGER

The typical size of character and zeta sums is $o(\sqrt{x})$

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:2301.04390.

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

pith.paper-citation-record.v1
2301.04390 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:59:35.752535Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T07:26:45.348098Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d4c51313-a152-4efe-ae11-f10726d292ba · inbound

On Shusterman's Goldbach-type problem for sign patterns of the Liouville function cites this paper.

On Shusterman's Goldbach-type problem for sign patterns of the Liouville function The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-11T05:59:35.752535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d58505d9-a899-491d-ab39-e9bd61e39bd7 · inbound

Lower bounds for high moments of zeta sums cites this paper.

Lower bounds for high moments of zeta sums The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T04:56:23.985574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4900ec7a-bbc3-4514-90b6-fdaa0f3c6b2b · inbound

Large values of character sums with multiplicative coefficients cites this paper.

Large values of character sums with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-05T21:03:17.874792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a39f573-8790-432a-8e91-a2f6c442e32f · inbound

Large character sums with multiplicative coefficients cites this paper.

Large character sums with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T18:58:15.935612Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 973ea06a-b060-4db0-af19-9100fa8c81cf · inbound

Large values of Dirichlet polynomials with multiplicative coefficients cites this paper.

Large values of Dirichlet polynomials with multiplicative coefficients The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-04T18:59:14.336105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 214b6c4a-4605-4444-9763-e90f14db7ebc · inbound

A few notes on the asymptotic behavior of Rademacher random multiplicative functions cites this paper.

A few notes on the asymptotic behavior of Rademacher random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 17

Resolution: verified exact; arxiv_id, observed 2026-05-18T14:32:40.099029Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b82e520e-8f46-4649-b5a7-97b4fa92083c · inbound

A few notes on the asymptotic behavior of Rademacher random multiplicative functions cites this paper.

A few notes on the asymptotic behavior of Rademacher random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T15:42:39.921586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 408ca8eb-8f0b-4dbe-8d95-001df2703cf6 · inbound

Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms cites this paper.

Low moments of random multiplicative functions twisted by Fourier coefficients of modular forms The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:25:59.121433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 68a844a0-7fa4-4d58-bee6-88133a2c5a47 · inbound

High moments of random multiplicative functions twisted by Fourier coefficients of modular forms cites this paper.

High moments of random multiplicative functions twisted by Fourier coefficients of modular forms The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:56:24.257346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0b70ccd8-fead-41e2-8dc6-015624d2eba0 · inbound

Character sums over smooth numbers cites this paper.

Character sums over smooth numbers The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-02T07:26:45.349818Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 47d30289-02c8-4ebb-8a4c-ad2bb5b434dd · inbound

Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights cites this paper.

Lower bounds for low moments of character sums, I: Short sums with general multiplicative weights The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-02T06:56:43.911726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ec95d2a9-d739-4c25-9fde-b4d999dd5150 · inbound

A sharp almost sure upper bound for partial sums of random multiplicative functions cites this paper.

A sharp almost sure upper bound for partial sums of random multiplicative functions The typical size of character and zeta sums is $o(\sqrt{x})$

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.948128Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.