Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:53:36.107511Z
Paper Citation Record · LEDGER
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
As of 18 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2506.18874.
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 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T21:51:54.232329Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
24 of 24 outbound references displayed
- verified exact6
- verified fuzzy3
- unresolved14
- parse uncertain0
- malformed identifier1
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c98e5cde-fe4f-4efd-9695-5755374d14e8 · outbound
This paper cites Introduction to Analytic Number Theory.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Introduction to Analytic Number Theory
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.486664Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8f1c2df7-d197-44cb-bb50-4d6244a0d169 · outbound
This paper cites Balakrishnan, Wei Ho, Nathan Kaplan, Simon Spicer, William Stein, and James Weigandt.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Balakrishnan, Wei Ho, Nathan Kaplan, Simon Spicer, William Stein, and James Weigandt
Reference 2
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.735739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b71a63c0-a94d-487c-ad19-cd1f7a165ffa · outbound
This paper cites an unresolved cited work.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.623455Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7d05ce62-ed39-4cfb-b023-daf86009162b · outbound
This paper cites The average rank of elliptic curves.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height The average rank of elliptic curves
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.628946Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5000b798-e122-4327-9228-5c4cd8842d8d · outbound
This paper cites Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Binary quartic forms having bounded invariants, and the boundedness of the average rank of elliptic curves
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.636644Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0668d99f-1d52-4274-9981-ea0850aa9fbe · outbound
This paper cites Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Ternary cubic forms having bounded invariants, and the existence of a positive proportion of elliptic curves having rank 0
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.584363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ef79f2cf-74e7-48d3-b9aa-c19829224f5b · outbound
This paper cites Counting elliptic curves with a rational N -isogeny for small N.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Counting elliptic curves with a rational N -isogeny for small N
Reference 7
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.570112Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5016d8d9-4321-4662-ba8c-322b139b58ff · outbound
This paper cites The density and distribution of CM elliptic curves over Q.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height The density and distribution of CM elliptic curves over Q
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.750585Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 914f7b1b-9e24-47cb-b95f-bdb2ec7eb790 · outbound
This paper cites SageMath code for the paper Counting elliptic curves over with bounded naive height, 2025.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height SageMath code for the paper Counting elliptic curves over with bounded naive height, 2025
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:53:37.187685Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 042a3cca-9530-4131-89e4-2606ceb67fcd · outbound
This paper cites On a probabilistic local-global principle for torsion on elliptic curves.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height On a probabilistic local-global principle for torsion on elliptic curves
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.433212Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6dc768a9-d720-43fe-95e2-75d21799cd72 · outbound
This paper cites Counting elliptic curves with prescribed torsion.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Counting elliptic curves with prescribed torsion
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:53:37.074215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06c87a68-d579-4f17-b6f8-e734fb1e4690 · outbound
This paper cites an unresolved cited work.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.770150Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11c5edb4-e65a-4491-a9b3-6fd47caa9297 · outbound
This paper cites an unresolved cited work.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.774921Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 040e28a5-60b6-49b9-8e49-eef767157dea · outbound
This paper cites an unresolved cited work.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.779292Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e57bf27a-bed1-4018-a294-ad58da774b6b · outbound
This paper cites The L -functions and modular forms database.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height The L -functions and modular forms database
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:53:37.003229Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 776a4161-8bf2-4936-89ed-f0444071ef69 · outbound
This paper cites Mossinghoff, Tom\' a s Oliveira e Silva, and Timothy S.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Mossinghoff, Tom\' a s Oliveira e Silva, and Timothy S
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.940095Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1f818f1a-e3f6-4454-b67d-693b4953e6cd · outbound
This paper cites Montgomery and Robert C.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Montgomery and Robert C
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.975145Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b60594b4-491e-41d9-a57b-711e77fce76e · outbound
This paper cites Counting elliptic curves over the rationals with a 7-isogeny.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Counting elliptic curves over the rationals with a 7-isogeny
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.288078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fd04c64e-f3f4-4511-b65e-d29c08b8d72b · outbound
This paper cites Heuristics for the arithmetic of elliptic curves.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Heuristics for the arithmetic of elliptic curves
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.983659Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e0015c8f-a5fe-4495-9a96-88fa215ea480 · outbound
This paper cites Counting elliptic curves with an isogeny of degree three.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Counting elliptic curves with an isogeny of degree three
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.987742Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d033183-7e46-4d98-b383-421dfc10478f · outbound
This paper cites From explicit estimates for primes to explicit estimates for the M \"obius function.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height From explicit estimates for primes to explicit estimates for the M \"obius function
Reference 21
- Resolution
- verified exact
- doi, observed 2026-08-15T18:53:36.260877Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 35bebf66-1a85-4132-b4cc-2b66e79996c9 · outbound
This paper cites Silverman.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Silverman
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:35.997462Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b96ecc3b-4bff-4d94-a5e2-8e8eddb3b73e · outbound
This paper cites SageMath, the Sage Mathematics Software System (Version 10.6) , 2025.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height SageMath, the Sage Mathematics Software System (Version 10.6) , 2025
Reference 23
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-15T18:53:36.933979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 10d8bcde-5dbe-41b2-8ff0-93535faff5e8 · outbound
This paper cites Washington.
Counting elliptic curves over $\mathbb{Q}$ with bounded naive height Washington
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:53:36.107511Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 7b9320ea-8428-4e25-95e1-8bc916f8ce1e · inbound
Upper bounds for moments of analytic ranks of elliptic curves over number fields cites this paper.
Upper bounds for moments of analytic ranks of elliptic curves over number fields Counting elliptic curves over $\mathbb{Q}$ with bounded naive height
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T21:51:54.232329Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.