Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-14T10:12:47.906081Z
Paper Citation Record · LEDGER
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers
As of 11 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.10654.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
21 of 21 outbound references displayed
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External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 32cc7d51-4007-48b9-bc5c-dd43849a3438 · outbound
This paper cites Sur les nombres qui ont des propri´ et´ es additives et multiplicatives donn´ ees.Acta Arithmetica, 13(3):259–265, 1968.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Sur les nombres qui ont des propri´ et´ es additives et multiplicatives donn´ ees.Acta Arithmetica, 13(3):259–265, 1968
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f5d05ad7-50ca-4b3d-90a0-c9a956f5e210 · outbound
This paper cites On the joint distribution ofq-additive functions in residue classes.Journal of Number Theory, 74(2):307–336, 1999.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers On the joint distribution ofq-additive functions in residue classes.Journal of Number Theory, 74(2):307–336, 1999
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d21be957-6620-483a-bcaa-73deb5c9e10b · outbound
This paper cites The sum-of-digits function of canonical number systems: Distribution in residue classes.Journal of Number Theory, 132(12):2756–2772, 2012.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers The sum-of-digits function of canonical number systems: Distribution in residue classes.Journal of Number Theory, 132(12):2756–2772, 2012
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eaa821b6-c91a-45dd-be51-8763ef716422 · outbound
This paper cites Sur un probl` eme de gelfond: la somme des chiffres des nombres premiers.Annals of Mathematics, pages 1591–1646, 2010.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Sur un probl` eme de gelfond: la somme des chiffres des nombres premiers.Annals of Mathematics, pages 1591–1646, 2010
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0965b0b6-04c7-408c-9a2c-163cc4df6bff · outbound
This paper cites Primes with an average sum of digits.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Primes with an average sum of digits
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7a366ac7-32f7-4d22-9659-31386a7f9991 · outbound
This paper cites The sum-of-digits function of polynomial sequences.Journal of the London Mathematical Society, 84(1):81–102, 2011.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers The sum-of-digits function of polynomial sequences.Journal of the London Mathematical Society, 84(1):81–102, 2011
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 577b8299-a706-48f6-84a6-d82e9bea2ce7 · outbound
This paper cites Exponential sums over primes in an arithmetic progression.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Exponential sums over primes in an arithmetic progression
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 188f0a76-e43e-414f-8c81-616b1c5bd414 · outbound
This paper cites On the correlation of the sum of digits along prime numbers.convergence, 6(1):3, 2021.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers On the correlation of the sum of digits along prime numbers.convergence, 6(1):3, 2021
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96998ec7-99aa-4084-9f44-e5f21b5099aa · outbound
This paper cites Prime numbers in two bases.Duke Mathematical Journal, 169(10):1809–1876, July 2020.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Prime numbers in two bases.Duke Mathematical Journal, 169(10):1809–1876, July 2020
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89ab3da0-9364-4b31-a4b6-a3ffc6708751 · outbound
This paper cites Prime numbers along rudin–shapiro sequences.Journal of the European Mathematical Society, 17(10):2595–2642, 2015.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Prime numbers along rudin–shapiro sequences.Journal of the European Mathematical Society, 17(10):2595–2642, 2015
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d85b7408-3ddc-46c1-80d8-54d030396f8d · outbound
This paper cites Exponential sums with automatic sequences.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Exponential sums with automatic sequences
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37c379ba-8efa-4e37-a3ba-b754ac2979de · outbound
This paper cites Digital functions along squares of prime numbers.arXiv preprint arXiv:2509.17474, 2025.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Digital functions along squares of prime numbers.arXiv preprint arXiv:2509.17474, 2025
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e5538b4-1f88-4e0d-a64a-1397d1faed88 · outbound
This paper cites American Mathematical Society, 2025.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers American Mathematical Society, 2025
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4cb7070c-0a9b-4407-8c35-0606ed21fb6b · outbound
This paper cites Primes with restricted digits.Inventiones mathematicae, 217(1):127–218, 2019.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Primes with restricted digits.Inventiones mathematicae, 217(1):127–218, 2019
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5603ab5c-62ad-48b7-8520-7abcf4d1a673 · outbound
This paper cites Prescribing the binary digits of primes, ii.Israel Journal of Mathematics, 206(1):165–182, 2015.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Prescribing the binary digits of primes, ii.Israel Journal of Mathematics, 206(1):165–182, 2015
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f08a8cae-3427-45e1-a2df-e556e58b4a76 · outbound
This paper cites Prime numbers with a positive proportion of preassigned digits.Proceedings of the London Mathematical Society, 121(1):83–151, 2020.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Prime numbers with a positive proportion of preassigned digits.Proceedings of the London Mathematical Society, 121(1):83–151, 2020
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6eb27ba0-d319-40f5-bc03-362957c69ee6 · outbound
This paper cites Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory.Journal of the London Mathematical Society, 109(1):e12837, 2024.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Primes with a missing digit: Distribution in arithmetic progressions and an application in sieve theory.Journal of the London Mathematical Society, 109(1):e12837, 2024
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13e46de6-1154-4e03-9600-feb47fb9e97a · outbound
This paper cites Cryptanalysis of RSA Cryptosystem: Prime Factorization using Genetic Algorithm.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Cryptanalysis of RSA Cryptosystem: Prime Factorization using Genetic Algorithm
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 688c9ce9-8a14-487b-95d8-2265b0e03a2d · outbound
This paper cites A sieve-driven genetic algorithm for rsa cryptosystem: Exploiting digit distribution and algebraic regularities.Applied Soft Computing, page 115415, 2026.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers A sieve-driven genetic algorithm for rsa cryptosystem: Exploiting digit distribution and algebraic regularities.Applied Soft Computing, page 115415, 2026
Reference 19
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- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ecbaf35-ac03-4a92-913a-15034d519b4d · outbound
This paper cites Number 84 in CBMS Regional Conference Series in Mathematics.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Number 84 in CBMS Regional Conference Series in Mathematics
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 638921b6-4817-4cf7-ad6c-73e8afde25fe · outbound
This paper cites Springer Science & Business Media, 2013.
The Prime Digit Distribution Conjecture: A Formal Proof of Average Digit Equidistribution in the Prime Numbers Springer Science & Business Media, 2013
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T10:12:47.906081Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.