Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T16:34:09.524086Z
Paper Citation Record · LEDGER
The density and distribution of CM elliptic curves over $\mathbb{Q}$
As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2411.13526.
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 2026-08-12T06:34:41.77262+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
20 of 20 outbound references displayed
- verified exact4
- verified fuzzy6
- unresolved9
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1bb1d352-6113-4556-a342-4dbb629173b5 · outbound
This paper cites Introduction to Analytic Number Theory.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Introduction to Analytic Number Theory
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:10.097251Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 18181b8e-fb54-44dd-8026-ae9793719a09 · outbound
This paper cites an unresolved cited work.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Unresolved cited work
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-12T16:34:09.702191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation adcf81cd-f8d8-4b87-84a4-45161b9abf7e · outbound
This paper cites The average rank of elliptic curves.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ The average rank of elliptic curves
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.425885Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 96ab2244-62d9-415e-974d-355eb96182bc · outbound
This paper cites Python code for the paper The density and distribution of CM elliptic curves over , 2024.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Python code for the paper The density and distribution of CM elliptic curves over , 2024
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:10.076430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cabfd4ec-b265-4ac2-ad6a-b044db5ecc10 · outbound
This paper cites an unresolved cited work.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T16:34:10.056411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation eb83253f-82bb-49c1-bb7b-49a6383a691c · outbound
This paper cites Coates and A.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Coates and A
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.441566Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8a687386-6394-4bd6-b952-33572553c5d9 · outbound
This paper cites Asymptotische Gesetze der Zahlentheorie.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Asymptotische Gesetze der Zahlentheorie
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:10.037558Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e22a5178-1e40-4bc5-80ea-39891b491087 · outbound
This paper cites Diophantische A nalysis und M odulfunktionen.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Diophantische A nalysis und M odulfunktionen
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.453023Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b371d0cb-354a-4e11-b5e2-825c1e794cd4 · outbound
This paper cites Elliptic curves , volume 111 of Graduate Texts in Mathematics.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Elliptic curves , volume 111 of Graduate Texts in Mathematics
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:10.020340Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c7670652-3797-4a3c-beaa-a2dbefed04de · outbound
This paper cites The L -functions and modular forms database.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ The L -functions and modular forms database
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:10.001821Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 8fd8b4de-9401-4565-b135-77e3c048b16d · outbound
This paper cites Montgomery and Robert C.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Montgomery and Robert C
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.472284Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 25dd25d9-2559-4ab0-b1c9-78b130cce4bb · outbound
This paper cites Average rank of elliptic curves [after M anjul B hargava and A rul S hankar].
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Average rank of elliptic curves [after M anjul B hargava and A rul S hankar]
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-12T16:34:09.965955Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2ff2f706-760a-447d-b4b4-b11e994122f7 · outbound
This paper cites On elliptic curves with complex multiplication as factors of the J acobians of modular function fields.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ On elliptic curves with complex multiplication as factors of the J acobians of modular function fields
Reference 13
- Resolution
- verified exact
- raw_fallback, observed 2026-08-12T16:34:09.924390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation f4f5af2f-aebd-4442-b9a0-a26930a36b0e · outbound
This paper cites Silverman.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Silverman
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.493317Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1582523e-0e8d-435c-b3e1-728b8b066f23 · outbound
This paper cites Silverman.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Silverman
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.498939Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6e3734d8-38bf-4e16-9c99-21e27bee26bb · outbound
This paper cites an unresolved cited work.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Unresolved cited work
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.504023Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0b9e3278-97d3-428b-bfc7-152d7e5623c5 · outbound
This paper cites an unresolved cited work.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Unresolved cited work
Reference 17
- Resolution
- verified exact
- doi, observed 2026-08-12T16:34:09.598254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 58e0fd3e-5349-4bde-af1c-0aba70112d88 · outbound
This paper cites Obituary: Prof.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Obituary: Prof
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-12T16:34:09.579910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3c1b687d-fcbf-4140-a8d1-b9baec59ebe2 · outbound
This paper cites S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.3) , 2024.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ S ageMath, the S age M athematics S oftware S ystem ( V ersion 10.3) , 2024
Reference 19
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-12T16:34:09.944694Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1f15bc64-e712-4734-abed-81efea732895 · outbound
This paper cites Washington.
The density and distribution of CM elliptic curves over $\mathbb{Q}$ Washington
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T16:34:09.524086Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.