Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T05:44:24.292842Z
Paper Citation Record · LEDGER
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients
As of 11 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2509.05235.
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, observed 2026-07-14T06:59:13.289105Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact0
- verified fuzzy6
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3be8a568-5d10-4308-b255-e8f97385a08e · outbound
This paper cites Bachmann,Niedere Zahlentheorie, part1, Teubner, Leipzig, 1902.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Bachmann,Niedere Zahlentheorie, part1, Teubner, Leipzig, 1902
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:26.117346Z
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 dc1cf07b-204c-43e7-9f4a-713629f3434a · outbound
This paper cites an unresolved cited work.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T05:44:25.882542Z
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 87a361e3-5102-4dd0-9561-11e9b5a7585f · outbound
This paper cites Comtet,Advanced Combinatorics.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Comtet,Advanced Combinatorics
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:25.676160Z
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 c54873ca-c271-4140-8081-32d315610300 · outbound
This paper cites Eisenstein,Eine neue Gattung zahlentheoretischer Funktionen, welche von zwei Elementen abh¨ angen und durch gewisse lineare Funktional-Gleichungen definiert werden, Ber.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Eisenstein,Eine neue Gattung zahlentheoretischer Funktionen, welche von zwei Elementen abh¨ angen und durch gewisse lineare Funktional-Gleichungen definiert werden, Ber
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:25.550270Z
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 ab2f9a51-d802-4cd2-ac66-06e11daf0c2c · outbound
This paper cites an unresolved cited work.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T05:44:25.404405Z
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 5ee155d0-b6ca-4227-a918-b6a1c3c28cce · outbound
This paper cites an unresolved cited work.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T05:44:25.288534Z
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 cfe0bca8-bdc6-419b-80f7-d974c43392af · outbound
This paper cites Lagrange,D´ emonstration d’un th´ eor` eme nouveau concernant les nombres premiers, Nouv.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Lagrange,D´ emonstration d’un th´ eor` eme nouveau concernant les nombres premiers, Nouv
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:25.067557Z
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 489a69f8-0912-42b0-84a7-e7757b3021c3 · outbound
This paper cites Lerch,Zur Theorie des Fermatschen Quotienten ap−1−1 p =q(a), Math.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Lerch,Zur Theorie des Fermatschen Quotienten ap−1−1 p =q(a), Math
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:24.818892Z
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 afcde5ae-e9c5-40f0-bb34-c06033d68ca3 · outbound
This paper cites (2025),The On-Line Encyclopedia of Integer Sequences, published electronically at https://oeis.org.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients (2025),The On-Line Encyclopedia of Integer Sequences, published electronically at https://oeis.org
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T05:44:24.666825Z
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 211c6e26-84fe-4aa4-bf5c-66a07da4c06b · outbound
This paper cites an unresolved cited work.
Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T05:44:24.504746Z
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 9fcbaef5-7843-4340-9d42-cf2679792256 · inbound
Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products cites this paper.
Higher-Order Congruence for Reciprocal Power Sums and Generalized Lehmer-Type Products Wilson's theorem modulo higher prime powers I: Fermat and Wilson quotients
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T06:59:13.289105Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.