Paper Citation Record · LEDGER

Rigidity of Averages over the Two Largest Prime Factors

As of 12 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2608.05191.

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

pith.paper-citation-record.v1
2608.05191 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:06:30.537855Z

measured 8 of 8 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 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

8 of 8 outbound references displayed

verified exact0
verified fuzzy6
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b47a08d6-61b4-4265-bd9a-4563495ac15f · outbound

This paper cites Alladi, Duality between prime factors and an application to the prime number theorem for arithmetic progressions,J.

Rigidity of Averages over the Two Largest Prime Factors Alladi, Duality between prime factors and an application to the prime number theorem for arithmetic progressions,J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:31.850254Z

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 6a1f1f37-5048-4d32-bae5-39e04db3964e · outbound

This paper cites Alladi and J.

Rigidity of Averages over the Two Largest Prime Factors Alladi and J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:31.650685Z

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 e8943be2-4f1f-452e-b329-373150fb0400 · outbound

This paper cites an unresolved cited work.

Rigidity of Averages over the Two Largest Prime Factors Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:06:31.477034Z

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 36c86ae9-6af3-4004-b225-c5b4d53ab556 · outbound

This paper cites an unresolved cited work.

Rigidity of Averages over the Two Largest Prime Factors Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:06:31.337489Z

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 838fddac-8f68-4f34-a849-5634de43d5f2 · outbound

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

Rigidity of Averages over the Two Largest Prime Factors Dickman, On the frequency of numbers containing prime factors of a certain relative magnitude,Ark

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:31.197655Z

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 0919652e-d811-48ff-91ad-091ac8bfbc9c · outbound

This paper cites Katznelson,An Introduction to Harmonic Analysis, 3rd ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2004.

Rigidity of Averages over the Two Largest Prime Factors Katznelson,An Introduction to Harmonic Analysis, 3rd ed., Cambridge Mathematical Library, Cambridge University Press, Cambridge, 2004

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:31.064463Z

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 0a2352ac-6e9a-4109-87b3-360c4af393b9 · outbound

This paper cites Tenenbaum, A rate estimate in Billingsley’s theorem for the size distribution of large prime factors, Quart.

Rigidity of Averages over the Two Largest Prime Factors Tenenbaum, A rate estimate in Billingsley’s theorem for the size distribution of large prime factors, Quart

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:30.914831Z

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 2bb7f550-edcf-443f-abd2-d0923d13c9c9 · outbound

This paper cites Tenenbaum,Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Graduate Studies in Mathematics, vol.

Rigidity of Averages over the Two Largest Prime Factors Tenenbaum,Introduction to Analytic and Probabilistic Number Theory, 3rd ed., Graduate Studies in Mathematics, vol

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:06:30.760463Z

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.

Pith citing papers

No inbound Pith citation observations are available.