Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:39:46.450527Z
Paper Citation Record · LEDGER
Congruence properties of Lehmer-Euler numbers
As of 11 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2501.01178.
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 2026-08-06T22:06:44.425155Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-06T22:06:46.916909Z
Reference resolution
27 of 27 outbound references displayed
- verified exact1
- verified fuzzy18
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 88db9fac-794a-455b-8ed1-a66ebc6d450f · outbound
This paper cites Barman and T.
Congruence properties of Lehmer-Euler numbers Barman and T
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.984919Z
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 1836a37d-bbc2-4b76-b536-305959e75709 · outbound
This paper cites Brioschi, Sulle funzioni Bernoulliane ed Euleriane , Annali di Mat., i.
Congruence properties of Lehmer-Euler numbers Brioschi, Sulle funzioni Bernoulliane ed Euleriane , Annali di Mat., i
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.967832Z
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 b3051431-d777-4a27-b469-a7af3199d6a0 · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.950822Z
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 901b5328-9d41-4662-ab70-84bc63b74f37 · outbound
This paper cites Ernvall, Generalized Bernoulli numbers, generalized irregular primes, and class number , Ann.
Congruence properties of Lehmer-Euler numbers Ernvall, Generalized Bernoulli numbers, generalized irregular primes, and class number , Ann
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.934184Z
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 9cec5bf3-e5a8-4038-b346-976a5a3d6ede · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.915994Z
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 90c1ffcb-cc5f-4d31-8b09-e94b419ebaa8 · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.899757Z
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 37eb241d-3756-4ce9-a0eb-3fb54bafe3e8 · outbound
This paper cites Komatsu, Complementary Euler numbers , Period.
Congruence properties of Lehmer-Euler numbers Komatsu, Complementary Euler numbers , Period
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.882158Z
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 7bc07800-a742-4b91-a063-b4fcbe33c0d2 · outbound
This paper cites Komatsu, Incomplete poly-Cauchy numbers , Monatsh.
Congruence properties of Lehmer-Euler numbers Komatsu, Incomplete poly-Cauchy numbers , Monatsh
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.864639Z
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 8ad5a1bf-e0f4-4150-8872-c5981ea5fd15 · outbound
This paper cites Komatsu, K.
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.846218Z
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 d8286628-7cc3-45fe-a59b-25b409f11f21 · outbound
This paper cites Komatsu and R.
Congruence properties of Lehmer-Euler numbers Komatsu and R
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.826403Z
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 65e4d72f-1398-4923-b3b6-926b4b4753a8 · outbound
This paper cites Komatsu and J.
Congruence properties of Lehmer-Euler numbers Komatsu and J
Reference 11
- Resolution
- verified exact
- doi, observed 2026-08-10T22:39:46.491632Z
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 60f64d5e-e558-4f21-995f-b026114bde53 · outbound
This paper cites Komatsu and H.
Congruence properties of Lehmer-Euler numbers Komatsu and H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.808120Z
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 9646f810-1d20-4bef-a8a7-11c5d0b3c96b · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.779731Z
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 2bf364f4-c5fc-4f96-8912-63158ecf345d · outbound
This paper cites Liu, On congruences of Euler numbers modulo powers of two , J.
Congruence properties of Lehmer-Euler numbers Liu, On congruences of Euler numbers modulo powers of two , J
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.762594Z
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 82b213d0-f1a5-4f15-bf5c-52c2d79e7239 · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.738882Z
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 68c37322-7561-4af4-8082-2687b32fc720 · outbound
This paper cites Lucas, Th´ eorie des Fonctions Num´ eriques Simplement P´ eriodiques, Amer.
Congruence properties of Lehmer-Euler numbers Lucas, Th´ eorie des Fonctions Num´ eriques Simplement P´ eriodiques, Amer
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.718120Z
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 9f9de3a6-797c-4508-a54d-57436b229c3b · outbound
This paper cites Luo, An explicit formula for the Euler numbers of higher order , Tamkang J.
Congruence properties of Lehmer-Euler numbers Luo, An explicit formula for the Euler numbers of higher order , Tamkang J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.699636Z
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 63ee6fd2-05c7-4b79-89e9-915bb4941f30 · outbound
This paper cites Komatsu, J.
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.682645Z
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 b5800ecd-113f-4ff8-b63e-55a2f4d6e42e · outbound
This paper cites Komatsu, J.
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.664845Z
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 1f09018f-9366-4560-8001-ca33317d70e8 · outbound
This paper cites Liu and W.-P.
Congruence properties of Lehmer-Euler numbers Liu and W.-P
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.647708Z
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 b277555f-e47e-4979-b8f9-55ee3edef06b · outbound
This paper cites Muir, The theory of determinants in the historical order of develop - ment, Four volumes, Dover Publications, New York, 1960.
Congruence properties of Lehmer-Euler numbers Muir, The theory of determinants in the historical order of develop - ment, Four volumes, Dover Publications, New York, 1960
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.629208Z
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 f737c7b6-b0aa-4dee-9019-f150969aca35 · outbound
This paper cites Riordan, Combinatorial identities , John Wiley & Sons, Inc., New York-London-Sydney, 1968.
Congruence properties of Lehmer-Euler numbers Riordan, Combinatorial identities , John Wiley & Sons, Inc., New York-London-Sydney, 1968
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.610050Z
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 7a218e2a-2d15-430c-9ab0-a87c829f992c · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.585426Z
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 ddf118ec-1b19-42b4-a694-cfcc03527604 · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.566479Z
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 8976d486-8689-4545-b530-fcde91bc4cdb · outbound
This paper cites Sun, On Euler numbers modulo powers of two , J.
Congruence properties of Lehmer-Euler numbers Sun, On Euler numbers modulo powers of two , J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.548635Z
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 dd6a23e9-1872-40a5-8715-6e3f2f5a1c4f · outbound
This paper cites Trudi, Intorno ad alcune formole di sviluppo , Rendic.
Congruence properties of Lehmer-Euler numbers Trudi, Intorno ad alcune formole di sviluppo , Rendic
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:39:46.530521Z
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 ed40daaf-5e33-4fdf-9d0a-61cee6ecee82 · outbound
This paper cites an unresolved cited work.
Congruence properties of Lehmer-Euler numbers Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:39:46.511466Z
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 1f7ae5e8-4b3c-404c-ac69-d835b3882649 · inbound
Ordered set partition posets cites this paper.
Ordered set partition posets Congruence properties of Lehmer-Euler numbers
Reference 20
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:06:47.028869Z
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 f79c4f37-1152-4fa1-9023-2fc83371d4e8 · 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 Congruence properties of Lehmer-Euler numbers
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T06:59:13.289105Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.