Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:10:13.962464Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:2412.07308.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T19:10:13.962464Z
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 2026-07-07T18:56:17.298784Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-07T19:04:02.055041Z
30 of 30 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 466baddf-61d8-43a1-bbc2-93ab95f97127 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Bhargava, D
Reference 1
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 b09dfd0b-ed7b-4138-b31b-9edf7a5584f3 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Bhargava and A
Reference 2
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 66d4a395-047f-4053-873f-28423269cb89 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 3
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 14265366-ebd9-4b51-8a86-322a43a80e21 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Dokchitser and V
Reference 4
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 35ebd306-f9b2-497b-a4db-9e7e71649957 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 5
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 d390bb16-b6bd-4dfc-83ba-c61b7354f7e3 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Goldfeld
Reference 6
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 a7257733-5a54-43f6-8c47-e1fa34c1344d · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Greenberg
Reference 7
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 21120164-7a27-4ac5-a7ae-7a067b2d0993 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Hachimori and K
Reference 8
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 4759e1c7-4c65-4fcf-961d-0d3600e5bd31 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Heath-Brown
Reference 9
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 46162f58-f818-4246-b8ce-f3f5a01631af · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 10
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 aa505014-6d6b-411b-a304-c73e4e08cbcc · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 11
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 a2e03b5b-d931-44ee-b12d-ce15a5822116 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 12
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 b1b1aa07-a933-46be-ad22-4c7ca814ee0b · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 13
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 ec335339-a953-4258-b6fa-a6c9300598f1 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Kriz and C
Reference 14
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 c875cbba-301a-42a7-b42b-0b18e61ff7f4 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Kriz and A
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3026b8a5-3147-4034-a67d-ab890ebc8f49 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Kundu and A
Reference 16
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 e8befc77-378d-4ece-9078-6c7233b7afe9 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Lozano-Robledo
Reference 17
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 3356d61b-1323-46a8-8df9-ba380d72f4d9 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 18
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 b501d138-7926-4a66-8874-9aa787186b96 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 19
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 23432d5d-d590-481e-83ad-90012fc4733b · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 20
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 573169f3-81e6-4ada-983d-835184c434a6 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Ono and C
Reference 21
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 92ab333e-1f9d-4080-a287-a28152d7ff73 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Statistics for Iwasawa invariants of elliptic curves, $\rm{III}$
Reference 22
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 bd8cf7a8-9f81-4da2-a5f4-af4d0b45aced · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 23
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 2b4aac5c-88af-4879-b954-0d1b1dbc515d · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 24
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 67f2576c-735f-4360-ae4e-97556e878ca0 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Rubin and A
Reference 25
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 5e5f75f1-8779-4776-a2a1-c42bfd0492b9 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 26
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 7270c042-8133-4f34-a0ee-8e578c7ad449 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 27
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 ddd9d69d-02f1-4974-9989-d447b310b614 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 66ee48fb-cf55-42aa-be38-c86124e3bbe2 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 29
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 2b2befd8-bf81-410c-bdb3-aa6faf8925a6 · outbound
Iwasawa theory and ranks of elliptic curves in quadratic twist families Unresolved cited work
Reference 2004
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 34ee9e24-0ac8-43ae-8db3-931097eb80f0 · inbound
Iwasawa invariants of sharp/flat $2$-adic $L$-functions for quadratic twists of elliptic curves Iwasawa theory and ranks of elliptic curves in quadratic twist families
Reference 13
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.