Paper Citation Record · LEDGER

Explicit bounds for Dickman's function

As of 11 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2606.07785.

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

pith.paper-citation-record.v1
2606.07785 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T20:41:41.305948Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T06:29:47.844940Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4abb167a-c40f-4d05-b43b-fb328ef16ace · outbound

This paper cites Alladi, The Tur´ an-Kubilius inequality for integers without large prime factors,J.

Explicit bounds for Dickman's function Alladi, The Tur´ an-Kubilius inequality for integers without large prime factors,J

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e214644-aff2-4024-a924-bec5626aec00 · outbound

This paper cites an unresolved cited work.

Explicit bounds for Dickman's function Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 736aaf93-08c1-44f8-8e65-e694813db00e · outbound

This paper cites Dickman, On the frequency of numbers containing prime factors of a certain relative magnitude,Ark.

Explicit bounds for Dickman's function Dickman, On the frequency of numbers containing prime factors of a certain relative magnitude,Ark

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1bb59d13-5e24-4d38-8b83-a38b23c7ac6e · outbound

This paper cites Gorodetsky, Smooth numbers and the Dickmanρfunction,J.

Explicit bounds for Dickman's function Gorodetsky, Smooth numbers and the Dickmanρfunction,J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2194e172-e6e8-44a0-90a0-e6405b000c4e · outbound

This paper cites Granville, Smooth numbers: computational number theory and beyond, in Algo- rithmic number theory: lattices, number fields, curves and cryptography, 267–323, Math.

Explicit bounds for Dickman's function Granville, Smooth numbers: computational number theory and beyond, in Algo- rithmic number theory: lattices, number fields, curves and cryptography, 267–323, Math

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 18a34666-bf76-4b2f-b624-a011aed63fae · outbound

This paper cites Marsaglia, A.

Explicit bounds for Dickman's function Marsaglia, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42c94c39-631a-4ed5-8e0f-7b018bd4cb14 · outbound

This paper cites Pinelis, Exact lower and upper bounds on the incomplete gamma function,Math.

Explicit bounds for Dickman's function Pinelis, Exact lower and upper bounds on the incomplete gamma function,Math

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 75610058-9003-45c0-8b54-ea01b7d8cead · outbound

This paper cites Smida, Sur les puissances de convolution de la fonction de Dickman,Acta Arith.

Explicit bounds for Dickman's function Smida, Sur les puissances de convolution de la fonction de Dickman,Acta Arith

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2261832a-bb44-4cfe-9fb1-4535e20101ec · outbound

This paper cites Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Third Edition, Graduate Studies in Mathematics, Vol.

Explicit bounds for Dickman's function Tenenbaum, Introduction to Analytic and Probabilistic Number Theory, Third Edition, Graduate Studies in Mathematics, Vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a08390f-1291-4571-a478-29945281c46c · outbound

This paper cites van de Lune and E.

Explicit bounds for Dickman's function van de Lune and E

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27148167-78ae-4b54-a108-c90cb3c4d163 · outbound

This paper cites an unresolved cited work.

Explicit bounds for Dickman's function Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T20:41:41.305948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 4dcf8caa-f537-4871-95a3-32c79db5b534 · inbound

Explicit bounds for Buchstab's function cites this paper.

Explicit bounds for Buchstab's function Explicit bounds for Dickman's function

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T06:29:47.844940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.