Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:32:22.961244Z
Paper Citation Record · LEDGER
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants
As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2507.18574.
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 2026-05-15T20:14:07.272953Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-15T20:16:34.078441Z
Reference resolution
23 of 23 outbound references displayed
- verified exact3
- verified fuzzy9
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation a2c75487-6976-4816-8f33-2a66644150dc · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-08-15T18:32:22.996791Z
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 c3099ffe-6dd0-40b2-b0b8-17f255ba0ca6 · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.315998Z
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 d9e43b7b-f9bd-40ea-8111-06470e0de2a7 · outbound
This paper cites Bell, Non-isomorphic abelian varieties with the same arithmetic, R.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Bell, Non-isomorphic abelian varieties with the same arithmetic, R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.302016Z
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 0c78c401-04d1-44e7-bf76-06a2070d32b9 · outbound
This paper cites Dokchitser and V.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Dokchitser and V
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.287447Z
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 d53bd338-b4ac-410b-aff8-fa9925aa09f4 · outbound
This paper cites Gouvˆ ea and B.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Gouvˆ ea and B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.274086Z
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 0b5c8103-b7af-4703-8d6e-91c9e2719a10 · outbound
This paper cites On the Joint Distribution Of $\mathrm{Sel}_\phi(E/\mathbb{Q})$ and $\mathrm{Sel}_{\hat\phi}(E^\prime/\mathbb{Q})$ in Quadratic Twist Families.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants On the Joint Distribution Of $\mathrm{Sel}_\phi(E/\mathbb{Q})$ and $\mathrm{Sel}_{\hat\phi}(E^\prime/\mathbb{Q})$ in Quadratic Twist Families
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:32:23.082704Z
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 bf697650-4f0f-46be-aef8-733d3c94815d · outbound
This paper cites Klagsbrun and R.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Klagsbrun and R
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.261278Z
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 1d7dd886-f8a7-408e-8e10-e0dac1c3d34e · outbound
This paper cites Kloosterman and E.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Kloosterman and E
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.247626Z
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 1db3adf7-7e03-4367-b6f3-1e4a5332a338 · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.234033Z
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 38e29433-6217-4c62-81bc-4e9a4ef8955c · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.220119Z
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 ef8039e4-69cd-4c1d-91b4-46fa67440eb9 · outbound
This paper cites Monsky, Generalizing the Birch–Stephens theorem.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Monsky, Generalizing the Birch–Stephens theorem
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.205900Z
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 a73a4c55-3e23-418e-86d7-4e31cd31f04f · outbound
This paper cites Pal, Periods of quadratic twists of elliptic curves, with an appendix by A.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Pal, Periods of quadratic twists of elliptic curves, with an appendix by A
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.192482Z
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 af3edcb8-5365-4ee9-a780-ddb45139ecf1 · outbound
This paper cites Rubin, Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication, Invent.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Rubin, Tate-Shafarevich groups andL-functions of elliptic curves with complex multiplication, Invent
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.179974Z
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 0db665a1-d36e-4145-8a93-79b616b75c94 · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.167313Z
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 449e264e-1847-4a09-93d2-c20095e5121f · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.153536Z
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 da2f05a6-ccc5-43af-beb9-1981ef08d3cc · outbound
This paper cites Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:32:23.062259Z
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 f7ec5944-9c54-4f6d-a510-808b54efc02a · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.139136Z
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 f1643fb4-c634-4aba-a20b-3ae3e46f49db · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.124566Z
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 72058f9d-c136-4e78-b078-f7992d12b5b6 · outbound
This paper cites The distribution of $\ell^{\infty}$-Selmer groups in degree $\ell$ twist families II.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants The distribution of $\ell^{\infty}$-Selmer groups in degree $\ell$ twist families II
Reference 19
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:32:22.943975Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a662b13d-3a48-422c-8059-a2078338d3cc · outbound
This paper cites The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:32:22.947839Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b4f59bc5-ecfe-41d9-8ff6-80d36ea633c2 · outbound
This paper cites an unresolved cited work.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:32:23.110417Z
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 54d97507-5bd4-4da2-a556-3f3502a4242f · outbound
This paper cites Tate, On the conjectures of Birch and Swinnerton-Dyer and a geometric analog, S´ eminaire Bourbaki, Vol.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Tate, On the conjectures of Birch and Swinnerton-Dyer and a geometric analog, S´ eminaire Bourbaki, Vol
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:32:23.096622Z
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 bfecc6d1-02e2-44d9-b527-c865902ac1a5 · outbound
This paper cites Rank one elliptic curves and rank stability.
Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants Rank one elliptic curves and rank stability
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:32:22.961244Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 0b3574a4-fe2a-4e87-8539-e00e36f2a819 · inbound
Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists cites this paper.
Nontrivial torsion in the Tate--Shafarevich group of elliptic curves via visibility and twists Infinitely many pairs of non-isomorphic elliptic curves sharing the same BSD invariants
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-07-07T03:18:47.816120Z
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.