Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z
Paper Citation Record · LEDGER
Faster enumeration of primes
As of 22 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.22851.
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 2026-08-22T06:32:14.747728+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
29 of 29 outbound references displayed
- verified exact17
- verified fuzzy0
- unresolved5
- parse uncertain0
- malformed identifier1
- metadata mismatch6
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 0ebcc4fe-e662-4440-9eab-c64b927cae7c · outbound
This paper cites Prime sieves using binary qua- dratic forms.
Faster enumeration of primes Prime sieves using binary qua- dratic forms
Reference 1
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.408551Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation faa787d4-97b1-426f-8e8b-45323eabd4c2 · outbound
This paper cites [BCS97] Peter Bürgisser, Michael Clausen, and Mohammad Amin Shokrollahi.Algebraic Complexity Theory, volume 315 ofGrundlehren Der Mathematischen Wissenschaften.
Faster enumeration of primes [BCS97] Peter Bürgisser, Michael Clausen, and Mohammad Amin Shokrollahi.Algebraic Complexity Theory, volume 315 ofGrundlehren Der Mathematischen Wissenschaften
Reference 2
- Resolution
- metadata mismatch
- doi, observed 2026-06-26T07:39:08.400259Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 98bb52ce-6949-4095-9899-26bed6106e86 · outbound
This paper cites An incremental primal sieve.
Faster enumeration of primes An incremental primal sieve
Reference 3
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.399238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation bd2f9f54-8cec-4c69-a9d4-328126d4ce52 · outbound
This paper cites Factoring polynomials over large finite fields.
Faster enumeration of primes Factoring polynomials over large finite fields
Reference 4
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.404476Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5a647021-deaf-48ca-9e55-0f163b75d97c · outbound
This paper cites Cambridge University Press, Cambridge, 2011, pp.
Faster enumeration of primes Cambridge University Press, Cambridge, 2011, pp
Reference 5
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.406767Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 883b3bd3-90ee-4441-8af2-84e2e5f6ba90 · outbound
This paper cites On the order of magnitude of the difference between consecutive prime numbers.
Faster enumeration of primes On the order of magnitude of the difference between consecutive prime numbers
Reference 6
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.391451Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation c7fb8c25-6359-4414-9dba-8f721547c7f7 · outbound
This paper cites A space-efficient fast prime number sieve.
Faster enumeration of primes A space-efficient fast prime number sieve
Reference 7
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.393218Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 025cab2c-e3e1-4935-9581-0a7b983ab08b · outbound
This paper cites Prime chains and Pratt trees.
Faster enumeration of primes Prime chains and Pratt trees
Reference 8
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.387835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1d4855a3-e4b4-4806-9006-6a58ddab5015 · outbound
This paper cites an unresolved cited work.
Faster enumeration of primes Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T07:36:47.640239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49a6040f-46ae-4f63-a183-0dbe7a58580a · outbound
This paper cites Dissecting a sieve to cut its need for space.
Faster enumeration of primes Dissecting a sieve to cut its need for space
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T07:36:47.640239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b246f2ad-1d1e-46e7-a8a3-ab622536c2e2 · outbound
This paper cites Primes in short intervals: heuristics and calculations.
Faster enumeration of primes Primes in short intervals: heuristics and calculations
Reference 11
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.416397Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 03e972e9-204d-4d91-af39-c425adc9c4c1 · outbound
This paper cites An improved sieve of Eratosthenes.
Faster enumeration of primes An improved sieve of Eratosthenes
Reference 12
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.402296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5e3a089c-8e90-45d5-9a47-99576c3f1807 · outbound
This paper cites Integer multiplication in time 𝑂 (𝑛 log 𝑛).
Faster enumeration of primes Integer multiplication in time 𝑂 (𝑛 log 𝑛)
Reference 13
- Resolution
- metadata mismatch
- doi, observed 2026-06-26T07:39:08.393387Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 6ae18e19-7a42-488a-ac96-671f7d527668 · outbound
This paper cites Even faster integer multiplication.
Faster enumeration of primes Even faster integer multiplication
Reference 14
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.402878Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 93c72323-4e60-462f-abcf-40515f620fec · outbound
This paper cites [IK04] H.
Faster enumeration of primes [IK04] H
Reference 15
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.410462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 0aed0794-7bb3-4717-8ac0-964460cc33e6 · outbound
This paper cites and Kowalski, E.
Faster enumeration of primes and Kowalski, E
Reference 16
- Resolution
- metadata mismatch
- doi, observed 2026-06-26T07:39:08.412629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation f0758ec4-d35e-4ec7-b798-47ed89fac036 · outbound
This paper cites Addison-Wesley, Reading, MA, 1998, pp.
Faster enumeration of primes Addison-Wesley, Reading, MA, 1998, pp
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T07:36:47.640239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5fb2d220-51d1-42cf-b045-beee0ce7f111 · outbound
This paper cites Addison-Wesley, Reading, MA, 1998, pp.
Faster enumeration of primes Addison-Wesley, Reading, MA, 1998, pp
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T07:36:47.640239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 956f472e-a397-41ab-9108-d238f52f4066 · outbound
This paper cites Algorithms in algebraic number theory.
Faster enumeration of primes Algorithms in algebraic number theory
Reference 19
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.414462Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 9fec5b9b-1796-41c0-af62-724d8fb31273 · outbound
This paper cites and Vaughan, Robert C.
Faster enumeration of primes and Vaughan, Robert C
Reference 20
- Resolution
- metadata mismatch
- doi, observed 2026-06-26T07:39:08.384031Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e8de666e-c2b0-4b46-9ea1-79f198bba1fb · outbound
This paper cites Sorting and element distinctness on one-way Turing ma- chines.
Faster enumeration of primes Sorting and element distinctness on one-way Turing ma- chines
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-26T07:36:47.640239Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d8130b16-685f-4036-ad23-329a6f3c5d69 · outbound
This paper cites In: Proc.
Faster enumeration of primes In: Proc
Reference 22
- Resolution
- malformed identifier
- doi_truncated, observed 2026-06-26T07:39:08.376973Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 2cc05339-368c-476f-8b81-b0591caebcd3 · outbound
This paper cites A sublinear additive sieve for finding prime numbers.
Faster enumeration of primes A sublinear additive sieve for finding prime numbers
Reference 23
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.418180Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d2987973-084e-4632-a6b2-63e02873e43c · outbound
This paper cites Polynomial codes over certain finite fields.
Faster enumeration of primes Polynomial codes over certain finite fields
Reference 24
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.379234Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation d0fbb335-9ef3-4ad1-94c1-3756c41580d0 · outbound
This paper cites On the complexity of computing prime tables on a Turing machine.
Faster enumeration of primes On the complexity of computing prime tables on a Turing machine
Reference 25
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-06-26T07:39:08.382043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 1f053679-f0a4-43ab-ae5e-4ce0e4b86080 · outbound
This paper cites On the complexity of computing prime tables on the Turing machine.
Faster enumeration of primes On the complexity of computing prime tables on the Turing machine
Reference 26
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.386156Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 635b86ba-1dc1-4bf2-aadd-646ff3581d9a · outbound
This paper cites Two compact incremental prime sieves.
Faster enumeration of primes Two compact incremental prime sieves
Reference 27
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.375299Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 29b56ab3-3f0f-4168-9a62-4ee9a3b88c9d · outbound
This paper cites Two fast parallel prime number sieves.
Faster enumeration of primes Two fast parallel prime number sieves
Reference 28
- Resolution
- verified exact
- doi, observed 2026-06-26T07:39:08.377186Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 90590400-e0b1-4e0d-8e83-347d873eb952 · outbound
This paper cites Tenenbaum.Introduction to Analytic and Probabilistic Number Theory.
Faster enumeration of primes Tenenbaum.Introduction to Analytic and Probabilistic Number Theory
Reference 29
- Resolution
- metadata mismatch
- doi, observed 2026-06-26T07:39:08.370689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Pith citing papers
No inbound Pith citation observations are available.