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Paper Citation Record · LEDGER

On the Gap sequence and the Gilbreath conjecture

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2104.05258.

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

pith.paper-citation-record.v1
2104.05258 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T13:10:14.788981Z

measured 17 of 17 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T10:51:35.054145Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-04T05:09:35.938687Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0bb241e5-5732-4c1a-a896-f618971950ad · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.289965Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:0e00d05ab667fda23a1e9e88e6bb437ff2d325d617d4d3ab3e425c6566e08e09

Observation 86fe60ec-2d58-4913-8cd2-a777c6918795 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.282404Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:e970996e8135103dc71236126bf03450cfbb3d01a1dc1dbcaaa6c4319dbd3e79

Observation 92d2e2c2-10a6-45cd-87ca-c56d38ca10f8 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.286250Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:ee2153b437bd40545bb2dd280e68561cff5cc2cc010995a6d615f827bd70976a

Observation f96c337f-d944-4b66-8a1f-c63f5bbd34a3 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.322680Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:85e1f6451ad2e4a3dced39df5d795328bc87d55443afa0701534876dd9936fbb

Observation 762cfc71-7eb9-4f39-b620-d86ee32ee1aa · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.319139Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:ff3e7b74f4e904b912f2487f02919b01681ea6ac39a0734126431d01fb3811aa

Observation 2babb299-ef53-417e-9fe6-c05b62ed0973 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.301722Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:252b1ca9647ecb3f8d5f56d548a5d087ea89925ab4b6e1c869964e58c7800b79

Observation 4f89031d-0c6b-4a86-a4be-92d82fdd282e · outbound

This paper cites The minimum overlap problem revisited.

On the Gap sequence and the Gilbreath conjecture The minimum overlap problem revisited

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-05-24T13:14:30.495225Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:423e6dc83dcf8a75d7d21fc8dfe4038746a3bdc7a7c1200ba900967d00ef8410

Observation 0e8ebb24-f739-49c2-adcb-c4463933034a · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.308656Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:d3fc8d84ed3ffa59d03e2ab2092a5f10899f066b3213f6ec4c39164f0a73a581

Observation c063f575-1e36-4b89-b21f-653a8d07c17e · outbound

This paper cites 160, 2004, 781--798.

On the Gap sequence and the Gilbreath conjecture 160, 2004, 781--798

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.278980Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:a407e01f21765176efad2abfd8ff68af17b43b11af18d6e705ac6c01151eeb35

Observation 61b82dab-2eda-4ed2-a85d-44fea9cfdb2b · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.293738Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:d9e9b558a99e634ef633b23fbceb0ce01a6cb465a8163d15aa1ca07989f92e41

Observation 12b3890a-b303-4197-9e7f-c7cc8380afbb · outbound

This paper cites 163, American Mathematical Soc.

On the Gap sequence and the Gilbreath conjecture 163, American Mathematical Soc

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.311804Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:d5ea84193aa95af98d5df05c99c1671752b808f7ab1147c1c0e488b2d8ee56e9

Observation b1d45432-a8ad-43f5-9110-5f614a88b6ae · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.329485Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:3bfccef73dc73e64575bef39c86c5cd6d5b3e780380aa9668c40f86e33a15a8f

Observation 663ae4be-264b-4585-8a63-889aa3291886 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.305614Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:dc05c0da73926923c8f4b6c34cbddd10e7cd54f43a5d15e1f45a3b04652a6fff

Observation 3df81b25-dce3-4df8-9373-aa4fe7bab076 · outbound

This paper cites Brown, On a conjecture of Dirichlet.

On the Gap sequence and the Gilbreath conjecture Brown, On a conjecture of Dirichlet

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T13:14:32.315427Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:f17d0fc700ebce6451b090d5c7eb27d99fcf4b27efc38676505ee3149ccb4251

Observation e8fdb9bb-6a28-4515-9728-295f0a195540 · outbound

This paper cites an unresolved cited work.

On the Gap sequence and the Gilbreath conjecture Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-05-24T13:14:32.325946Z

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.

source=arxiv_source observed=2026-05-24T13:10:14.788981Z digest=sha256:2512199f0be925ac86101bc5bc35b58bba9c825b2f465d02e8cf834f3d4ca096

Pith citing papers

Observation dd641fef-167a-4305-92f2-7a51866313e4 · inbound

Holes in Valid-Extension Sets of Finite Gilbreath Sequences cites this paper.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences On the Gap sequence and the Gilbreath conjecture

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-07-04T05:09:35.940287Z

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.

source=pdf_text observed=2026-06-26T16:21:56.827098Z digest=sha256:d1bd8e6a60b3f0f9455b3447dc2e848cc5b50ab624c2200375c526d72bb7da80

Observation 76c2a6e8-2322-4adb-acf6-095074af5adf · inbound

Holes in Valid-Extension Sets of Finite Gilbreath Sequences cites this paper.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences On the Gap sequence and the Gilbreath conjecture

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-02T10:51:35.054145Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T10:51:35.054145Z digest=sha256:e3a78ae5af623fac72f23da8a9dcc81fedc8541ec428a1018ba7664cc982a85a