Paper Citation Record · LEDGER

A sharp almost sure upper bound for partial sums of random multiplicative functions

As of 9 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2607.29429.

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

pith.paper-citation-record.v1
2607.29429 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T07:23:08.975374Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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 exact0
verified fuzzy0
unresolved18
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cdee3d9d-7ae1-441a-b29f-962039b0ffd7 · outbound

This paper cites Atherfold,Almost sure bounds for weighted sums of Rademacher random multiplicative functions, arXiv:2501.11076v4 (2026).

A sharp almost sure upper bound for partial sums of random multiplicative functions Atherfold,Almost sure bounds for weighted sums of Rademacher random multiplicative functions, arXiv:2501.11076v4 (2026)

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.925562Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15cd1f22-8722-4f2a-a124-146c3b1790a1 · outbound

This paper cites Aymone, W.

A sharp almost sure upper bound for partial sums of random multiplicative functions Aymone, W

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.929369Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0caf2b8a-5a61-45a2-8170-a360acbc3956 · outbound

This paper cites Basquin,Sommes friables de fonctions multiplicatives aléatoires, Acta Arith.152(2012), no.

A sharp almost sure upper bound for partial sums of random multiplicative functions Basquin,Sommes friables de fonctions multiplicatives aléatoires, Acta Arith.152(2012), no

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.932675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 276dcb06-7449-4b38-9362-b7b13ee0f017 · outbound

This paper cites Bonami,Étude des coefficients de Fourier des fonctions deLp(G), Ann.

A sharp almost sure upper bound for partial sums of random multiplicative functions Bonami,Étude des coefficients de Fourier des fonctions deLp(G), Ann

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.935652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e2a0ecf-df3f-4837-83ac-f4b64777e869 · outbound

This paper cites Almost sure upper bound for random multiplicative functions.

A sharp almost sure upper bound for partial sums of random multiplicative functions Almost sure upper bound for random multiplicative functions

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.938784Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fc8cfbc1-a0bf-4d8d-a56a-172198ca687e · outbound

This paper cites Halász,On random multiplicative functions, Hubert Delange Colloquium (Orsay, 1982), Publ.

A sharp almost sure upper bound for partial sums of random multiplicative functions Halász,On random multiplicative functions, Hubert Delange Colloquium (Orsay, 1982), Publ

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.942173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4eaac378-3a63-41a4-9162-6add1e95d123 · outbound

This paper cites The distribution of partial sums of random multiplicative functions with a large prime factor.

A sharp almost sure upper bound for partial sums of random multiplicative functions The distribution of partial sums of random multiplicative functions with a large prime factor

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.945245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

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

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.

Observation cb85968b-85e0-451d-87c4-36404bc4ba34 · outbound

This paper cites an unresolved cited work.

A sharp almost sure upper bound for partial sums of random multiplicative functions Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.951123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4fb88ddb-02a4-445c-b831-5a6151aef36c · outbound

This paper cites an unresolved cited work.

A sharp almost sure upper bound for partial sums of random multiplicative functions Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.953724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbee2f48-5e80-4ad4-a6f8-6f76b5077c0a · outbound

This paper cites Moments of random multiplicative functions, III: A short review.

A sharp almost sure upper bound for partial sums of random multiplicative functions Moments of random multiplicative functions, III: A short review

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.956325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6042fa46-a666-4551-8ff5-e73005eec3da · outbound

This paper cites an unresolved cited work.

A sharp almost sure upper bound for partial sums of random multiplicative functions Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.959130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 730e1701-7a73-496a-a893-1093f63010d0 · outbound

This paper cites an unresolved cited work.

A sharp almost sure upper bound for partial sums of random multiplicative functions Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.962005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 537f0921-f548-431f-afd6-7d1615497f8b · outbound

This paper cites Mastrostefano,An almost sure upper bound for random multiplicative functions on integers with a large prime factor, Electron.

A sharp almost sure upper bound for partial sums of random multiplicative functions Mastrostefano,An almost sure upper bound for random multiplicative functions on integers with a large prime factor, Electron

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.964586Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3eda4356-5d25-4ead-ba2a-92f2886f7a30 · outbound

This paper cites Classical Theory, Cambridge Studies in Advanced Mathematics 97, Cambridge University Press, Cambridge, 2007.

A sharp almost sure upper bound for partial sums of random multiplicative functions Classical Theory, Cambridge Studies in Advanced Mathematics 97, Cambridge University Press, Cambridge, 2007

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.967192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec1b1309-df08-4843-8f9e-64e220f83795 · outbound

This paper cites Shiu,A Brun–Titchmarsh theorem for multiplicative functions, J.

A sharp almost sure upper bound for partial sums of random multiplicative functions Shiu,A Brun–Titchmarsh theorem for multiplicative functions, J

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.969878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d91b3e75-c129-449c-a002-3076f76c0041 · outbound

This paper cites Soundararajan and A.

A sharp almost sure upper bound for partial sums of random multiplicative functions Soundararajan and A

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.972564Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9cc5af74-22d5-4347-9ba1-ff899a3123aa · outbound

This paper cites Wintner,Random factorizations and Riemann’s hypothesis, Duke Math.

A sharp almost sure upper bound for partial sums of random multiplicative functions Wintner,Random factorizations and Riemann’s hypothesis, Duke Math

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-03T07:23:08.975374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.