Paper Citation Record · LEDGER

Holes in Valid-Extension Sets of Finite Gilbreath Sequences

As of 12 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2606.23721.

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

pith.paper-citation-record.v1
2606.23721 v2

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T10:51:37.452664Z

measured 22 of 22 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T08:47:18.075198Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

verified exact0
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites On the Gap sequence and the Gilbreath conjecture.

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.

Observation d16e5809-e82d-4b33-a784-adc151d56ede · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:35.135594Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1645c0d-8b2b-48ed-ae4f-55b37be0d198 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:35.311735Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 38e5bf6f-6825-439f-a0ca-2a8429e2a602 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:35.540094Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8fcef21-a49c-4313-9e24-964b4d2ef3ef · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:35.798233Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1f1d841-e048-4ea0-9dd3-c085cea4dec7 · outbound

This paper cites Caragiu, A.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Caragiu, A

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:35.924560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c12dc7de-1688-4eec-8396-519c68e92fb4 · outbound

This paper cites Chase,A random analogue of Gilbreath’s conjecture, Mathematische Annalen388(2024), 2611–2625.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Chase,A random analogue of Gilbreath’s conjecture, Mathematische Annalen388(2024), 2611–2625

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.006845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c64ed08f-2597-4734-b433-ca30ffff460c · outbound

This paper cites Subset sums, completeness and colorings.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Subset sums, completeness and colorings

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.094766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db87c12c-5851-4b41-817d-bc88d67268a0 · outbound

This paper cites Gardner,Mathematical games: patterns in primes are a clue to the strong law of small numbers, Scientific American243(1980), no.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Gardner,Mathematical games: patterns in primes are a clue to the strong law of small numbers, Scientific American243(1980), no

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.182920Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8592d580-f559-4399-8ca5-a880d62ef5ca · outbound

This paper cites Gatti,Gilbreath equation, Gilbreath polynomials, and upper and lower bounds for Gilbreath conjecture, Mathematics11(2023), no.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Gatti,Gilbreath equation, Gilbreath polynomials, and upper and lower bounds for Gilbreath conjecture, Mathematics11(2023), no

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.325531Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b465273-466d-445b-a86b-c6b14c70d2a7 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.486468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82bcd30a-d6fe-4995-8b92-1fe955cb03a0 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.641175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d81ec72-f59c-4853-9251-f0c4a3dbc701 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.746495Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6066b718-2cd8-45ca-84a7-d278878534dc · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.768793Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f4906ab-f063-48a7-9596-7f9f44ba2f1f · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.851005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39fbbb69-4974-4619-b07b-adafac2ad05f · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:36.980483Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 434865c8-15cc-47f9-b4bb-ba4e075d56b1 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:37.090560Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c5fa7a81-b27a-42eb-a47d-61a8c54d81e9 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:37.189849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf98cd9c-dd65-4c52-b240-b53bd9e63878 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:37.243725Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f162cdf-837b-4c13-b2b8-aeae9e8632bf · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:37.360814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39e07dca-92c1-4981-a6ea-fa63034224c1 · outbound

This paper cites an unresolved cited work.

Holes in Valid-Extension Sets of Finite Gilbreath Sequences Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T10:51:37.452664Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 795dfc97-0d99-446e-a2ce-2685f9e71283 · 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 Holes in Valid-Extension Sets of Finite Gilbreath Sequences

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-02T08:47:18.075198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.