Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 9 inbound Pith citation observations for arXiv:2503.17619.
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, observed 2026-08-07T14:58:08.559546Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-02T15:37:06.647164Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation e944a413-b8ca-4dd8-b9c8-1b0877aa928d · inbound
Elliptic curves of rank one over number fields cites this paper.
Elliptic curves of rank one over number fields The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:58:08.559546Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3b29240c-651e-46f9-8cf9-234a92612b09 · inbound
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two cites this paper.
Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-19T13:07:18.182734Z
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 d746d18f-bc0b-41e6-b11a-dcf7869048d2 · inbound
Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography cites this paper.
Logarithmic Density of Rank $\geq 1$ and Rank $\geq 2$ Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 53
- Resolution
- unresolved
- no resolver link, observed 2026-08-03T08:37:23.401247Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b5e67b4d-5ac1-4899-8e08-38f119f06050 · inbound
A proof of $p$-adic Gross--Zagier theorem via BDP formula cites this paper.
A proof of $p$-adic Gross--Zagier theorem via BDP formula The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 11
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T11:46:17.800886Z
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 fbcaa45b-3a18-40eb-8564-bd49bb8cb1fe · inbound
A proof of $p$-adic Gross--Zagier theorem via BDP formula cites this paper.
A proof of $p$-adic Gross--Zagier theorem via BDP formula The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 1998
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T16:24:07.529941Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a70e18de-d6b8-4eaa-9a5a-3612d289a900 · inbound
On the coefficients of the Taylor expansion of $L$-functions of elliptic curves cites this paper.
On the coefficients of the Taylor expansion of $L$-functions of elliptic curves The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 27
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T07:26:29.526390Z
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 bcf3e586-15af-4c2c-916a-119f28379985 · inbound
Recent Progress around Cohen-Lenstra Heuristics cites this paper.
Recent Progress around Cohen-Lenstra Heuristics The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 14
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T15:37:06.648710Z
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 e5dfae57-920c-430c-9262-792af3c7f9fe · inbound
Tamagawa ratios and unbounded Selmer moments cites this paper.
Tamagawa ratios and unbounded Selmer moments The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 55
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T11:45:47.017019Z
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 f3711460-04ea-4f0b-8f12-170ce133a429 · inbound
Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ cites this paper.
Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T10:44:10.661681Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.