Paper Citation Record · LEDGER

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis

As of 11 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 1 inbound Pith citation observation for arXiv:2607.08712.

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

pith.paper-citation-record.v1
2607.08712 v1

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T02:57:34.332462Z

measured 10 of 10 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 2026-08-02T08:47:17.684019Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

9 of 9 outbound references displayed

verified exact0
verified fuzzy6
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a84f5dc9-78df-48a9-8ea3-3f91ef8e97bc · outbound

This paper cites Chase,A random analogue of Gilbreath’s conjecture, Math.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Chase,A random analogue of Gilbreath’s conjecture, Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.263290Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0079c799-39c0-48ab-918e-3a12b705fa90 · outbound

This paper cites Cramér,On the order of magnitude of the difference between consecutive prime numbers, Acta Arithm.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Cramér,On the order of magnitude of the difference between consecutive prime numbers, Acta Arithm

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.265201Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 9aa22c36-5dc9-4730-8037-7b0ea8b17071 · outbound

This paper cites Eppstein,Anti-Gilbreath sequences, 2011.https://11011110.github.io/blog/2011/02/20/ anti-gilbreath-sequences.html.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Eppstein,Anti-Gilbreath sequences, 2011.https://11011110.github.io/blog/2011/02/20/ anti-gilbreath-sequences.html

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.267359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a35f08b0-8217-46d4-882d-08acd752548f · outbound

This paper cites an unresolved cited work.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-10T03:06:44.261394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5b5ac275-c755-44b7-973c-46b47a7b779a · outbound

This paper cites Granville,Harald Cramér and the Distribution of Prime Numbers, Scand.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Granville,Harald Cramér and the Distribution of Prime Numbers, Scand

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.259253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5d2a1ffc-8d46-477f-9bad-fee8e9fb668a · outbound

This paper cites an unresolved cited work.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-10T03:06:44.253786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ce106ee7-6cfb-49f2-ad9a-8684a280ed6a · outbound

This paper cites Packing an upwards equilateral triangle efficiently by downwards equilateral tri- angles.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Packing an upwards equilateral triangle efficiently by downwards equilateral tri- angles

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.252151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bccb0d44-26f8-4356-a0e2-b4dab8430cec · outbound

This paper cites Proth,Sur la série des nombres premiers, Nouvelle Correspondance Mathématique4(1878), 236–240.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Proth,Sur la série des nombres premiers, Nouvelle Correspondance Mathématique4(1878), 236–240

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-10T03:06:44.255676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 151c3bfc-36f6-47f7-a1b3-85f89c0a3025 · outbound

This paper cites an unresolved cited work.

Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-10T03:06:44.257392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 03acca3b-b3e0-4259-b656-9a3a3dd13001 · inbound

Piercing Gilbreath's Conjecture: From Deep Number Theory Insights to Fintech and Cybersecurity cites this paper.

Piercing Gilbreath's Conjecture: From Deep Number Theory Insights to Fintech and Cybersecurity Gilbreath's conjecture: a Cram\'er random model and a deterministic analysis

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T08:47:17.684019Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.