Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T05:23:01.742309Z
Paper Citation Record · LEDGER
As of 18 August 2026, this Paper Citation Record lists 74 of 74 outbound references and 1 inbound Pith citation observation for arXiv:2504.21272.
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 2026-08-16T05:23:01.742309Z
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 2026-08-16T05:16:08.093015Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T05:16:08.159941Z
74 of 74 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation ffaa00cb-906a-49ba-b223-f8bb372e5217 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2
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 e0a93528-f507-473c-9eb3-3d01b1f9b18e · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Amir-Khosravi
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 a8cb6e94-72fd-4380-b152-b35dce4f0348 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 75965a56-b141-4b1d-bb9b-e56275cf558f · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
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 93a70eb0-d1ed-44ee-8990-20c8dbc3f0a2 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bak.K-theory of forms, volume 98 ofAnnals of Mathematics Studies
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 cb950db6-be41-4c1a-9524-578678dc029d · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava, D
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 0e95ad52-0304-493b-88cd-833d786df14f · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication The average number of elements in the 4-Selmer groups of elliptic curves is 7
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9777079f-8235-4808-b619-f015163512f7 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f3e6be5-b4f0-4a33-8e56-84e61336d1e8 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava and A
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 ba950a64-5f71-452b-90f0-1e195c50a5a4 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava and A
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 9cdbdef2-941c-4839-86a9-078b4470f6fa · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bloch and K
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 7e16a6bf-9b0e-4a5a-a918-efc75a98bdbd · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bosch, W
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 f2364229-0eb3-4180-90b9-28883d4a3507 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Bourbaki.Espaces vectoriels topologiques
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 775d8b78-22e7-4f38-b9fb-24f8370740b8 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
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 63914b12-b927-4c29-b777-1fdcec1aa931 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Casselman
Reference 15
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 595d7673-a4ea-4c2e-93dd-4745d14c9379 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
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 db76879c-630f-4053-be7b-348c620bb200 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
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 8ff0ca15-f983-4d78-878f-87b69b0da6a1 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 1c5a53a1-acda-437a-b4bd-83598ced4768 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 8fdfccb2-5801-404e-920f-5a531b161f13 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Deligne and G
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 52f16814-8332-4756-aa36-f7834fc3c03d · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Edixhoven, G
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 fc186062-7977-4299-885b-e1d8314df2e3 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields
Reference 22
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 85f0b7c4-7b26-40b4-b5c6-415f5497fa53 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Faltings
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 0b5e572a-26d5-4d79-b90c-70329c14bd28 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 36419da5-0ad2-43c2-bf2e-cb3e3c97b156 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
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 50096fa9-c148-4f6a-928a-4b0464c7d0a4 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 c4ebceb2-555e-4b0e-822e-086a1777a3c9 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication 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 e562f06d-081a-46a4-a9a7-577e4e70e59c · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Fulman and L
Reference 28
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 1eb5a662-9b64-49d6-a37f-58291b9be061 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Fulman and D
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 fea1e290-e3ab-473f-ae0e-719a61346bfe · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Grothendieck
Reference 30
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 011b9f00-8c45-47a8-b0fd-27a3c59f7e48 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Grothendieck
Reference 31
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 09ba9d68-fa8a-416c-934b-8e9967d7de16 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 32
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 b5066ba8-6945-413b-9cef-e04da9de0d4c · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 33
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 32ef758f-bc6a-4561-ba87-0e7933019f0d · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Gerth III
Reference 34
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 ffd80c80-3302-4b33-a1e9-89e9e2a53585 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Kac and P
Reference 35
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 83ff9184-55a2-44fb-9f25-1d574f37425b · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 36
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 c44da8f5-d1ea-4029-8b31-c7b089c9dd88 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Klagsbrun, B
Reference 37
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 f5fabe45-cee3-4a06-8dda-e30c26fc075a · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Knus.Quadratic and Hermitian forms over rings, volume 294 ofGrundlehren der Mathematischen Wissenschaften
Reference 38
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 11732c2e-960a-47af-ac14-7db1e2cf665a · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Sums of rational cubes and the $3$-Selmer group
Reference 39
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0faf213-0765-4849-95d9-8043d5807b5c · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Maz and K
Reference 40
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 e4e46721-7d6d-41e7-a555-ef411e350c83 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Mazur and K
Reference 41
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 23d19b4e-5e68-46ef-af5c-01831ac40806 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 42
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 4430ff50-9953-495d-95b2-2245a9a1e7e6 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 43
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 b760a382-1e70-4678-b955-7e1fcfe6f9be · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Mumford.Abelian varieties
Reference 44
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 a14599e8-a2ea-476b-8760-6f582d00fde6 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Mumford, M
Reference 45
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 cdae8402-efe2-4f88-b0ea-a0bc457090fa · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f558f5a2-da36-4c62-865b-aa75e789e642 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Polishchuk
Reference 47
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 f8b65a6b-33ef-4d20-84a9-a79794a531a6 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Polishchuk.Abelian varieties, theta functions and the Fourier transform, volume 153 ofCambridge Tracts in Mathematics
Reference 48
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 63f7c078-7847-4083-84c3-3a5cee2222db · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and E
Reference 49
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 5c1c9dc0-9e1f-446e-baa1-ded851a760c8 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and E
Reference 50
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 152143d2-de4d-4243-9237-32233039adba · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and M
Reference 51
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 4bc89ea1-2b5c-4517-b45c-efd4f2853c74 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Ramakrishnan and R
Reference 52
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 2ad24397-af5e-450c-ad67-89c0477e6614 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Rapoport
Reference 53
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 0aa4ac19-ca9c-4d9a-b992-af1107fbe76c · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 54
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 35bfc528-2dcd-4b8a-b28c-1efc5b3af5f6 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Scharlau.Quadratic and Hermitian forms, volume 270 ofGrundlehren der Mathematischen Wis- senschaften
Reference 55
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 b7481bba-3818-4ae6-aa27-74bcc3b18766 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 56
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 61b4c07b-91ce-4423-9325-a2a24b613ae3 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Serre and J
Reference 57
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 4cababad-eca7-4f6a-a555-56c6a06b1022 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Shatz.Profinite groups, arithmetic, and Geometry, volume 67 ofAnnals of Mathematics Studies
Reference 58
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 4f3c72cc-0ff4-48c0-994e-25a522b73e2a · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Selmer ranks in twists of CM abelian varieties
Reference 59
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 cf34fe0a-8793-4fe8-a524-0da06711c5e2 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 60
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 53813210-0b64-44f3-bc71-ba7e68473751 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I
Reference 61
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b59d0763-9202-4558-8537-dea26a8642e3 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture
Reference 62
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 643f510b-84c8-4341-8fa7-4c716dc7373e · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Swinnerton-Dyer
Reference 63
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 f3ad6289-4b0e-435b-ad61-929f3cdf67e9 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 64
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 a440ae2b-57a2-43ec-90a4-8837ebbb59bb · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 65
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 69259764-4e17-41e5-8c64-d50bd2d1fada · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 66
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 e37462cc-5a40-4995-af6f-2a95adb8b072 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication van Dantzig
Reference 67
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 eab31a09-4aa3-4b58-b8c4-ec868b632168 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 68
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 32c5d114-7fed-49d4-95fb-d1fc15e26a12 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Weil.Basic number theory, volume 144 ofGrundlehren der mathematischen Wissenschaften
Reference 69
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 e9349ded-0aeb-4c1f-aff0-a34c05f87377 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 70
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 a430f922-645e-4357-9ba4-da79acd2afde · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 71
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 81fea7d9-fea4-4278-96b9-29d7e27beff6 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 72
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 7fba3b88-21cc-4a32-aa9a-287a7d46bf08 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 73
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 689efcd1-4d50-45ae-aa7e-f06ca9b9de66 · outbound
Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work
Reference 74
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 032a10fa-2e33-4daf-b7c2-533086355d8e · inbound
Selmer ranks in twists of CM abelian varieties Quadratic spaces and Selmer groups of abelian varieties with multiplication
Reference 33
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.