Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T23:01:24.302190Z
Paper Citation Record · LEDGER
On the Minimality of the Conductor for Elliptic Curve $L$-Functions
As of 12 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2506.20175.
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
10 of 10 outbound references displayed
- verified exact0
- verified fuzzy9
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 917abf16-ed8c-4fa5-a050-f88866359433 · outbound
This paper cites Binary quartic forms and the average rank of elliptic curves.Annals of Mathematics, 181(2):587–621, 2015.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Binary quartic forms and the average rank of elliptic curves.Annals of Mathematics, 181(2):587–621, 2015
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.432948Z
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 e71dae6e-8d0f-4bc9-b429-fa5c452faa02 · outbound
This paper cites On the modularity of elliptic curves over q: wild 3-adic exercises.Jour- nal of the American Mathematical Society, 14(4):843–939, 2001.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions On the modularity of elliptic curves over q: wild 3-adic exercises.Jour- nal of the American Mathematical Society, 14(4):843–939, 2001
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.422438Z
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 6864db54-47a8-489e-9fa7-b6c0bbacc868 · outbound
This paper cites The rank of elliptic curves.Duke Math.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions The rank of elliptic curves.Duke Math
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.411024Z
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 1247c4a7-e152-4fee-980b-1d8c97c139b5 · outbound
This paper cites On the conjecture of birch and swinnerton-dyer.Inventiones mathematicae, 39(3):223–251, 1977.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions On the conjecture of birch and swinnerton-dyer.Inventiones mathematicae, 39(3):223–251, 1977
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.399058Z
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 71fdc6f0-e4a4-4b26-9aa2-84ac0851bff5 · outbound
This paper cites Conjectures on elliptic curves over quadratic fields.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Conjectures on elliptic curves over quadratic fields
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.388337Z
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 7fc013fc-6430-4e6b-affd-cca847b8d5ea · outbound
This paper cites Formules explicites et minorations de conduc- teurs de variétés algébriques.Compositio Mathematica, 58(2):209–232, 1986.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Formules explicites et minorations de conduc- teurs de variétés algébriques.Compositio Mathematica, 58(2):209–232, 1986
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.377128Z
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 d8ed43ea-9438-468e-a9cc-2130b01d1d56 · outbound
This paper cites Random maximal isotropic subspaces and selmer groups.Journal of the AMS, 25(1):245–269, 2012.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Random maximal isotropic subspaces and selmer groups.Journal of the AMS, 25(1):245–269, 2012
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.366326Z
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 f45d2b09-1bc7-4195-a3bf-58fdfb6c268e · outbound
This paper cites Silverman.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Silverman
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.354218Z
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 3695fff7-977f-4474-8d86-641cf600ab1c · outbound
This paper cites Springer, 2009.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions Springer, 2009
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T23:01:24.298711Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ff6dd19a-8340-4d94-9c09-f34c006d9970 · outbound
This paper cites American Mathematical Soc., 2007.
On the Minimality of the Conductor for Elliptic Curve $L$-Functions American Mathematical Soc., 2007
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T23:01:24.333461Z
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.
Pith citing papers
No inbound Pith citation observations are available.