Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T06:06:01.918230Z
Paper Citation Record · LEDGER
Boundedness of average rank of elliptic curves ordered by the coefficients
As of 10 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.07089.
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 2026-08-10T06:31:04.303077+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
15 of 15 outbound references displayed
- verified exact4
- verified fuzzy9
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f80ffd6e-dfa4-47be-bfaf-15b353ac1cfc · outbound
This paper cites The density of discriminants of quartic rings and fields.Ann.
Boundedness of average rank of elliptic curves ordered by the coefficients The density of discriminants of quartic rings and fields.Ann
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.104292Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9bd48c41-8f85-47cf-930c-09fbb5b2620a · outbound
This paper cites The density of discriminants of quintic rings and fields.Ann.
Boundedness of average rank of elliptic curves ordered by the coefficients The density of discriminants of quintic rings and fields.Ann
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.094334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7565f5d1-99cc-4801-aaf5-4fe5b135ad07 · outbound
This paper cites Binary quartic forms having bounded invariants, and the bound- edness of the average rank of elliptic curves.Annals of Mathematics, 181(1):191–242, 2015.
Boundedness of average rank of elliptic curves ordered by the coefficients Binary quartic forms having bounded invariants, and the bound- edness of the average rank of elliptic curves.Annals of Mathematics, 181(1):191–242, 2015
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.084930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 678d7622-c65c-4985-b5f5-e56c7f0bdab8 · outbound
This paper cites The second moment of the size of the $2$-Selmer group of elliptic curves.
Boundedness of average rank of elliptic curves ordered by the coefficients The second moment of the size of the $2$-Selmer group of elliptic curves
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T06:06:01.883415Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a39d17b-46ab-4bc6-8a68-b189214ae6f6 · outbound
This paper cites Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves.
Boundedness of average rank of elliptic curves ordered by the coefficients Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:06:01.993238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7cf09aab-9bcb-4847-9a09-1f0ed3b9b6e9 · outbound
This paper cites Birch and H.P.F.
Boundedness of average rank of elliptic curves ordered by the coefficients Birch and H.P.F
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.074785Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1592c0bc-4122-4b74-a56d-f095d6ecf4fa · outbound
This paper cites The rank of elliptic curves.Duke Mathematical Journal, 44(4):715–739, December 1977.
Boundedness of average rank of elliptic curves ordered by the coefficients The rank of elliptic curves.Duke Mathematical Journal, 44(4):715–739, December 1977
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.064068Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e5eafe29-a56a-4e46-b92e-eeff6b1aaed4 · outbound
This paper cites Cremona.Algorithms for modular elliptic curves.
Boundedness of average rank of elliptic curves ordered by the coefficients Cremona.Algorithms for modular elliptic curves
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.052885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation dab68b0e-bbdb-4d4e-b5c4-2b42800e32ea · outbound
This paper cites Cremona and T.
Boundedness of average rank of elliptic curves ordered by the coefficients Cremona and T
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.042774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 7b116de7-0df5-4a77-aa6d-88697d79117d · outbound
This paper cites Goldfeld.
Boundedness of average rank of elliptic curves ordered by the coefficients Goldfeld
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.032380Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 0e8af5ef-fffb-4a3c-84fe-5ecb5ce9c25b · outbound
This paper cites an unresolved cited work.
Boundedness of average rank of elliptic curves ordered by the coefficients Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T06:06:02.023007Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f1be44a6-cec6-47ea-9842-16485390f56b · outbound
This paper cites Random maximal isotropic subspaces and Selmer groups.
Boundedness of average rank of elliptic curves ordered by the coefficients Random maximal isotropic subspaces and Selmer groups
Reference 12
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:06:01.980309Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e0ce8078-24a8-4c3c-9dc0-bafc2a3c3ab8 · outbound
This paper cites Shankar, Arul Shankar, and Xiaoheng Wang.
Boundedness of average rank of elliptic curves ordered by the coefficients Shankar, Arul Shankar, and Xiaoheng Wang
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T06:06:02.013344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 19889e2a-f430-4387-ac0c-8beba02cfdee · outbound
This paper cites Counting integral points on symmetric varieties with applications to arithmetic statistics.
Boundedness of average rank of elliptic curves ordered by the coefficients Counting integral points on symmetric varieties with applications to arithmetic statistics
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:06:01.967043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8d8b9af9-c095-4302-a170-1e4c666d4b2d · outbound
This paper cites Secondary terms in the first moment of $|{\rm Sel}_2(E)|$.
Boundedness of average rank of elliptic curves ordered by the coefficients Secondary terms in the first moment of $|{\rm Sel}_2(E)|$
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T06:06:01.951720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
No inbound Pith citation observations are available.