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Paper Citation Record · LEDGER

Quadratic spaces and Selmer groups of abelian varieties with multiplication

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.

pith.paper-citation-record.v1
2504.21272 v2

Coverage vector

measured 74 of 74 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:23:01.742309Z

measured 75 of 75 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:16:08.093015Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T05:16:08.159941Z

Reference resolution

74 of 74 outbound references displayed

  • verified exact2
  • verified fuzzy37
  • unresolved35
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ffaa00cb-906a-49ba-b223-f8bb372e5217 · outbound

This paper cites The Average Size of 2-Selmer Groups of Elliptic Curves in Characteristic 2.

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

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.388010Z digest=sha256:747b3d4e724b12fea2d89edc5ccc96cfd7f2092b8afd22484aea8f579c8a7c76

Observation e0a93528-f507-473c-9eb3-3d01b1f9b18e · outbound

This paper cites Amir-Khosravi.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Amir-Khosravi

Reference 2

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source=pdf_text observed=2026-08-16T05:23:01.394495Z digest=sha256:4997b45a93495f71b0b2a9de665f6e5abadfeed9572314091864e7db0d2c7fe2

Observation a8cb6e94-72fd-4380-b152-b35dce4f0348 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 3

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source=pdf_text observed=2026-08-16T05:23:01.399073Z digest=sha256:33844a47f0f7b8009f6d8453fd80f89f0fd09a65004715706b142512f7e5655c

Observation 75965a56-b141-4b1d-bb9b-e56275cf558f · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-16T05:23:01.404044Z digest=sha256:ec65e40d4119db5c0a5d5a1c476845fa49253ddf4e84915a701e2d5b28f10bb0

Observation 93a70eb0-d1ed-44ee-8990-20c8dbc3f0a2 · outbound

This paper cites Bak.K-theory of forms, volume 98 ofAnnals of Mathematics Studies.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bak.K-theory of forms, volume 98 ofAnnals of Mathematics Studies

Reference 5

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source=pdf_text observed=2026-08-16T05:23:01.408959Z digest=sha256:7e95f6bcf5ffbbfaea6b6a8c71bbb8c7d2dfb80c6b8f9037981d7a69a8deecc3

Observation cb950db6-be41-4c1a-9524-578678dc029d · outbound

This paper cites Bhargava, D.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava, D

Reference 6

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source=pdf_text observed=2026-08-16T05:23:01.414161Z digest=sha256:6bc2b5aa1029e84217ea0ddb892fd711408c4a1984219916243c65a5dcb7757f

Observation 0e95ad52-0304-493b-88cd-833d786df14f · outbound

This paper cites The average number of elements in the 4-Selmer groups of elliptic curves is 7.

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.419282Z digest=sha256:5c213cd10650d38cea500e30c080f06de0e4bc7a85a5ebda3c746e622dfa8846

Observation 9777079f-8235-4808-b619-f015163512f7 · outbound

This paper cites The average size of the 5-Selmer group of elliptic curves is 6, and the average rank is less than 1.

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

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.424380Z digest=sha256:d9d9fc06d7f9fa3acc230031d82320fa19707dd4669f21e2893c4d7f5aa4e713

Observation 9f3e6be5-b4f0-4a33-8e56-84e61336d1e8 · outbound

This paper cites Bhargava and A.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava and A

Reference 9

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source=pdf_text observed=2026-08-16T05:23:01.429368Z digest=sha256:825cf4eb0718a80f2cadb2f27c0ee140144bfa1d92a4721c696ea230ccbb07b5

Observation ba950a64-5f71-452b-90f0-1e195c50a5a4 · outbound

This paper cites Bhargava and A.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bhargava and A

Reference 10

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source=pdf_text observed=2026-08-16T05:23:01.433630Z digest=sha256:54bac480dc9b6cbd4a468fc0acc64b98e5cdf7010613faddfadeba0f1ac92b04

Observation 9cdbdef2-941c-4839-86a9-078b4470f6fa · outbound

This paper cites Bloch and K.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bloch and K

Reference 11

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source=pdf_text observed=2026-08-16T05:23:01.438376Z digest=sha256:fcf579be24141bc388f901bcdd0ddc3378cd3244bd8cea3369bd4c5d5ab54791

Observation 7e16a6bf-9b0e-4a5a-a918-efc75a98bdbd · outbound

This paper cites Bosch, W.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bosch, W

Reference 12

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source=pdf_text observed=2026-08-16T05:23:01.443091Z digest=sha256:53abdf42ccdd52bea8aaf2596d21f64ca05e06975b340f97a8dad099507772a5

Observation f2364229-0eb3-4180-90b9-28883d4a3507 · outbound

This paper cites Bourbaki.Espaces vectoriels topologiques.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Bourbaki.Espaces vectoriels topologiques

Reference 13

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source=pdf_text observed=2026-08-16T05:23:01.448150Z digest=sha256:137ab3faca38d0f6b8480de97944c9be9815481a81d56d71d96051474cacff69

Observation 775d8b78-22e7-4f38-b9fb-24f8370740b8 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-16T05:23:01.452657Z digest=sha256:663a9ff8c4de053891a0dce8afa90e59c07fb11415e2dbb8c091f36f05f01e29

Observation 63914b12-b927-4c29-b777-1fdcec1aa931 · outbound

This paper cites Casselman.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Casselman

Reference 15

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source=pdf_text observed=2026-08-16T05:23:01.456793Z digest=sha256:41897bd982daab62fb04b280fc8ab2640a321ab7da90ec87ff74e3106f247179

Observation 595d7673-a4ea-4c2e-93dd-4745d14c9379 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 16

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source=pdf_text observed=2026-08-16T05:23:01.460852Z digest=sha256:bbd87c4f01ba428253e9e806885cd8fa4c825c10641d3a6def280b4c96ac01f3

Observation db76879c-630f-4053-be7b-348c620bb200 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 17

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source=pdf_text observed=2026-08-16T05:23:01.465073Z digest=sha256:082e08d9d6daf6549366f0da333620096bf546a4b25f9d6ffd74c99ca9e85dc3

Observation 8ff0ca15-f983-4d78-878f-87b69b0da6a1 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-16T05:23:01.470303Z digest=sha256:4a55e25d959d794547b146042954af260e0fc7b20ab0f4205d8cdc3a4d8f4f07

Observation 1c5a53a1-acda-437a-b4bd-83598ced4768 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-16T05:23:01.475069Z digest=sha256:62946617411584d2921904cf6f1e333958b1cfae5a636316726157563b95482e

Observation 8fdfccb2-5801-404e-920f-5a531b161f13 · outbound

This paper cites Deligne and G.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Deligne and G

Reference 20

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source=pdf_text observed=2026-08-16T05:23:01.480344Z digest=sha256:6563cc2316c42fd2a8dfa22bf692f497d82c87f083213a809ea3a87dcfd5fa8b

Observation 52f16814-8332-4756-aa36-f7834fc3c03d · outbound

This paper cites Edixhoven, G.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Edixhoven, G

Reference 21

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source=pdf_text observed=2026-08-16T05:23:01.485028Z digest=sha256:5ace71215ce1e4297de65b3a7ad2d18879a28c411ec60874073c170a10070e2b

Observation fc186062-7977-4299-885b-e1d8314df2e3 · outbound

This paper cites Homological stability for generalized Hurwitz spaces and Selmer groups in quadratic twist families over function fields.

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

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source=pdf_text observed=2026-08-16T05:23:01.489332Z digest=sha256:b30a89c5e610eb4dffc43f50588f1df17060ab087cd5340a6629b1509782d3dc

Observation 85f0b7c4-7b26-40b4-b5c6-415f5497fa53 · outbound

This paper cites Faltings.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Faltings

Reference 23

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source=pdf_text observed=2026-08-16T05:23:01.494130Z digest=sha256:99bdb89b78827ab3f7fa6b7af039c293e8b10b39f9536ab864f53b2f3c889a24

Observation 0b5e572a-26d5-4d79-b90c-70329c14bd28 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 24

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source=pdf_text observed=2026-08-16T05:23:01.498374Z digest=sha256:309d0c03cc7833eeb52395c32759989acfb8b4a2bcb4a125afbda6a2610341c6

Observation 36419da5-0ad2-43c2-bf2e-cb3e3c97b156 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 25

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source=pdf_text observed=2026-08-16T05:23:01.502667Z digest=sha256:d7de04cfce1aaca4f56733953425cfcf43fdde29722f305db3bef1e6d60b3d59

Observation 50096fa9-c148-4f6a-928a-4b0464c7d0a4 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 26

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source=pdf_text observed=2026-08-16T05:23:01.506905Z digest=sha256:909588932197c5a410baefd21100b613a792fbfab1525276c1fcd1737cb93180

Observation c4ebceb2-555e-4b0e-822e-086a1777a3c9 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 27

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source=pdf_text observed=2026-08-16T05:23:01.511290Z digest=sha256:e4ba7dbe27288db32fc58bb3192b8fed544041f7c246b3342f04b38c42337bc1

Observation e562f06d-081a-46a4-a9a7-577e4e70e59c · outbound

This paper cites Fulman and L.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Fulman and L

Reference 28

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source=pdf_text observed=2026-08-16T05:23:01.516018Z digest=sha256:eadf189941e5d8d6c326729bd39e0952d6a528a4c52b26279f55e4b680340e31

Observation 1eb5a662-9b64-49d6-a37f-58291b9be061 · outbound

This paper cites Fulman and D.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Fulman and D

Reference 29

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source=pdf_text observed=2026-08-16T05:23:01.520967Z digest=sha256:3ffd3f7949358363c2b9710baf8971467088a299dd31b55775d6c1e9c58b5527

Observation fea1e290-e3ab-473f-ae0e-719a61346bfe · outbound

This paper cites Grothendieck.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Grothendieck

Reference 30

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source=pdf_text observed=2026-08-16T05:23:01.525780Z digest=sha256:12fb965c97e4ea52d8dc241935b1c5e92b2cba0257b4d7a918387dfdd3827b56

Observation 011b9f00-8c45-47a8-b0fd-27a3c59f7e48 · outbound

This paper cites Grothendieck.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Grothendieck

Reference 31

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source=pdf_text observed=2026-08-16T05:23:01.530298Z digest=sha256:22d04c848967944e0889d14f1c8fc9802f1ae2441a441f43175537c8487204c8

Observation 09ba9d68-fa8a-416c-934b-8e9967d7de16 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.535024Z digest=sha256:e8c79c362241cefb30c1ed5e9baa131034119b78a6dad4cd65938706ec9abe89

Observation b5066ba8-6945-413b-9cef-e04da9de0d4c · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 33

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source=pdf_text observed=2026-08-16T05:23:01.539775Z digest=sha256:6e0d953db2c0e4c2d5b6ee81123e9a13fa11aa2ff60f90434d1d2bb517bded40

Observation 32ef758f-bc6a-4561-ba87-0e7933019f0d · outbound

This paper cites Gerth III.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Gerth III

Reference 34

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source=pdf_text observed=2026-08-16T05:23:01.544618Z digest=sha256:137fa6f8b2f96e085b599a53886f540e54845a80f4fff6f583c5eaa7ae3b81dc

Observation ffd80c80-3302-4b33-a1e9-89e9e2a53585 · outbound

This paper cites Kac and P.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Kac and P

Reference 35

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source=pdf_text observed=2026-08-16T05:23:01.549194Z digest=sha256:9f8380ee16eeb14c53eea832f1f54c80221c2cfd56375dc85aef80ca95771f1d

Observation 83ff9184-55a2-44fb-9f25-1d574f37425b · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 36

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.553845Z digest=sha256:a800b2efe398294d745bfadeface80e194a8ddf7b7c25024ee99e40f0b7d340c

Observation c44da8f5-d1ea-4029-8b31-c7b089c9dd88 · outbound

This paper cites Klagsbrun, B.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Klagsbrun, B

Reference 37

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.558386Z digest=sha256:c53ff05e649ecf110be1379e54f8f6b550a769b67ff8f5a1e91ea12f11d11859

Observation f5fabe45-cee3-4a06-8dda-e30c26fc075a · outbound

This paper cites Knus.Quadratic and Hermitian forms over rings, volume 294 ofGrundlehren der Mathematischen Wissenschaften.

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

Resolution
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raw_fallback, observed 2026-08-16T05:23:02.408714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.562748Z digest=sha256:882c015d9459be7fbab76e9d404dfef1d27ec793dfe5ee3b7e0f7033ce882e46

Observation 11732c2e-960a-47af-ac14-7db1e2cf665a · outbound

This paper cites Sums of rational cubes and the $3$-Selmer group.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Sums of rational cubes and the $3$-Selmer group

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-16T05:23:01.567592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.567592Z digest=sha256:259694d95c5e61e3a0e17eaaa94102fe5f7d985c284fc738fcff9bb58bba8204

Observation b0faf213-0765-4849-95d9-8043d5807b5c · outbound

This paper cites Maz and K.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Maz and K

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.393681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.572602Z digest=sha256:0de765fb3af01bface690dd7b4c529e45d4c73729cdc5542571c6660c4e4cea0

Observation e4e46721-7d6d-41e7-a555-ef411e350c83 · outbound

This paper cites Mazur and K.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Mazur and K

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.377752Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.577550Z digest=sha256:30b7a9e6c277328dfbb991052de1f70f60f91ca79f3b6cbd3301b6d84b4358f2

Observation 23d19b4e-5e68-46ef-af5c-01831ac40806 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.363139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.582439Z digest=sha256:2342387ef2225904e2b2a82ebdf1f8960472391e826bd8c30adb03b4ab94014f

Observation 4430ff50-9953-495d-95b2-2245a9a1e7e6 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.348042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.587319Z digest=sha256:2b3ca6608ea654ed6206e6b55e22585352b4c9a3119a1b2afc60c44315a3dd65

Observation b760a382-1e70-4678-b955-7e1fcfe6f9be · outbound

This paper cites Mumford.Abelian varieties.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Mumford.Abelian varieties

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.333342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.592070Z digest=sha256:22e5d27b2bf0a8b26baaf75a2dae648b94aa6918db7657f7c98f321ea2539c14

Observation a14599e8-a2ea-476b-8760-6f582d00fde6 · outbound

This paper cites Mumford, M.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Mumford, M

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.318786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.597829Z digest=sha256:152873d2d6d87bda860f1884ac81cca0cdd1221bff6a445041137e9929d13532

Observation cdae8402-efe2-4f88-b0ea-a0bc457090fa · outbound

This paper cites On the Distribution of 2-Selmer ranks of Quadratic Twists of Elliptic Curves over $\mathbb{Q}$.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T05:23:01.603213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.603213Z digest=sha256:b47dd4705120b4b2937191f29952c40715bcf35a441be68a25ffd3a25ca8d9a5

Observation f558f5a2-da36-4c62-865b-aa75e789e642 · outbound

This paper cites Polishchuk.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Polishchuk

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.303779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.608373Z digest=sha256:892eef16f14da7e8ae6c87165a343621ba2a9dc3aabfae0dd2d88593aa7f145f

Observation f8b65a6b-33ef-4d20-84a9-a79794a531a6 · outbound

This paper cites Polishchuk.Abelian varieties, theta functions and the Fourier transform, volume 153 ofCambridge Tracts in Mathematics.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.288271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.613318Z digest=sha256:d3e39b32aa5bf5d0651552b576771c6bf4e55cc69fd06e1c82a7efdc4b638356

Observation 63f7c078-7847-4083-84c3-3a5cee2222db · outbound

This paper cites Poonen and E.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and E

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.272232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.618148Z digest=sha256:428e82b8c3239c73cbcb070fec456cc437c4bbd843080bc25769f8c14bfe1296

Observation 5c1c9dc0-9e1f-446e-baa1-ded851a760c8 · outbound

This paper cites Poonen and E.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and E

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.256258Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.623136Z digest=sha256:5a2cc6eed99efd60a3129055fb191cfe7942152fbfd47b03125323927a3a5958

Observation 152143d2-de4d-4243-9237-32233039adba · outbound

This paper cites Poonen and M.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Poonen and M

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.242069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.628090Z digest=sha256:2dcb46f7cda9f9f15cc9eb48e27354ae07ee4a3a1bfea53133f2a2a1e5dfa41d

Observation 4bc89ea1-2b5c-4517-b45c-efd4f2853c74 · outbound

This paper cites Ramakrishnan and R.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Ramakrishnan and R

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.227075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.633057Z digest=sha256:6d8a3d9feace79e87c5e758d3c818eb1757e7b1c74c3dce90ea43c8ce0059f83

Observation 2ad24397-af5e-450c-ad67-89c0477e6614 · outbound

This paper cites Rapoport.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Rapoport

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.212485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.637916Z digest=sha256:80d763205db7e0ba92c8fcd033daee5f29d559673910d2e03287a7b10450948b

Observation 0aa4ac19-ca9c-4d9a-b992-af1107fbe76c · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 54

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.198192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.642694Z digest=sha256:9d8601b154d2c01a7b053c532b12f0b4d5fb4155572391ea59e3be95cd1ee5dc

Observation 35bfc528-2dcd-4b8a-b28c-1efc5b3af5f6 · outbound

This paper cites Scharlau.Quadratic and Hermitian forms, volume 270 ofGrundlehren der Mathematischen Wis- senschaften.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Scharlau.Quadratic and Hermitian forms, volume 270 ofGrundlehren der Mathematischen Wis- senschaften

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.183550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.647613Z digest=sha256:77668dbb3f0baba50af2faf45b37372f9a62ef086d9f4e0f87e373830379a499

Observation b7481bba-3818-4ae6-aa27-74bcc3b18766 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 56

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.168188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.652089Z digest=sha256:36b49e43773046cefb229e9620355ec8d30610e42682fbedf2f5532ad3040d2e

Observation 61b4c07b-91ce-4423-9325-a2a24b613ae3 · outbound

This paper cites Serre and J.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Serre and J

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.153688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.656608Z digest=sha256:dfb6f3c2540f89c4589fd18d78d4840cb33c2c5102725f344f6ddcec2a30a392

Observation 4cababad-eca7-4f6a-a555-56c6a06b1022 · outbound

This paper cites Shatz.Profinite groups, arithmetic, and Geometry, volume 67 ofAnnals of Mathematics Studies.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Shatz.Profinite groups, arithmetic, and Geometry, volume 67 ofAnnals of Mathematics Studies

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.139457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.661333Z digest=sha256:ff122010eb9e15adaceaf503f5a07cce5146e9b5aab83dd28bd35583b5e3e271

Observation 4f3c72cc-0ff4-48c0-994e-25a522b73e2a · outbound

This paper cites Selmer ranks in twists of CM abelian varieties.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Selmer ranks in twists of CM abelian varieties

Reference 59

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:23:01.828810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.665880Z digest=sha256:3d6d9da268106072e1ad60218acb1a646ee0cab2afd3d466376e5fb98e34055c

Observation cf34fe0a-8793-4fe8-a524-0da06711c5e2 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.123749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.671461Z digest=sha256:d47f04bebdbec7884fd4c5547f1fcd9f1af37b2038cd423f882e9f61db1bd401

Observation 53813210-0b64-44f3-bc71-ba7e68473751 · outbound

This paper cites The distribution of $\ell^\infty$-Selmer groups in degree $\ell$ twist families I.

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

Resolution
unresolved
no resolver link, observed 2026-08-16T05:23:01.676469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.676469Z digest=sha256:256abc12696b5686de7120339155c6ee837d07fad95c03eee934c779ee49ad5e

Observation b59d0763-9202-4558-8537-dea26a8642e3 · outbound

This paper cites The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture.

Quadratic spaces and Selmer groups of abelian varieties with multiplication The Birch and Swinnerton-Dyer conjecture implies Goldfeld's conjecture

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-16T05:23:01.681321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T05:23:01.681321Z digest=sha256:4e58549648d668f4dcc2e27c8dea56dfa2be18c2137140286bfce30fe7545b71

Observation 643f510b-84c8-4341-8fa7-4c716dc7373e · outbound

This paper cites Swinnerton-Dyer.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Swinnerton-Dyer

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.107941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.686418Z digest=sha256:4df4a0af78c17b99857175fbc62a2b5d7582315a011e89391f17f216bcff78a3

Observation f3ad6289-4b0e-435b-ad61-929f3cdf67e9 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 64

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.094059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.691231Z digest=sha256:cbf8aa72439153accc12da9eb0ba4ce5c03a1fa01985d9ebb727258eb6f3dfe6

Observation a440ae2b-57a2-43ec-90a4-8837ebbb59bb · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 65

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.078792Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.696883Z digest=sha256:a7da6b659c2b10f8385ef7f917fbfd3ebbc67818a6f6ba09d8fb38cf7de0b243

Observation 69259764-4e17-41e5-8c64-d50bd2d1fada · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.063721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.702259Z digest=sha256:913d079478c5f6866069169c04af737b00dfb04323d47fe767aad1bb7dd6658a

Observation e37462cc-5a40-4995-af6f-2a95adb8b072 · outbound

This paper cites van Dantzig.

Quadratic spaces and Selmer groups of abelian varieties with multiplication van Dantzig

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.048570Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.707476Z digest=sha256:5354c4f980a837f6288ae1aa78bc0824e37b1ef26db10b0de912e464f4c38981

Observation eab31a09-4aa3-4b58-b8c4-ec868b632168 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 68

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.033185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.712538Z digest=sha256:85e5087f4d964fb2a8b8ab8aa772b0f20484e9aa4a0d5fbfc15a65b40462f650

Observation 32c5d114-7fed-49d4-95fb-d1fc15e26a12 · outbound

This paper cites Weil.Basic number theory, volume 144 ofGrundlehren der mathematischen Wissenschaften.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Weil.Basic number theory, volume 144 ofGrundlehren der mathematischen Wissenschaften

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-16T05:23:02.018145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.717399Z digest=sha256:c958d7dbecc624b891adf6dae1ad59a66ab817c17cd2a0b49dde35cdec772d52

Observation e9349ded-0aeb-4c1f-aff0-a34c05f87377 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 70

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:02.001161Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.722257Z digest=sha256:9897b86f6e4720b279b58b10a0ba00c1c1d1407458c89e502130eacbcd4ff237

Observation a430f922-645e-4357-9ba4-da79acd2afde · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 71

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:01.985644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.727146Z digest=sha256:6218d1bb6c50a02f14be8fbcc37fd4cc1d1b1acfd258404fa742ba550bd2f970

Observation 81fea7d9-fea4-4278-96b9-29d7e27beff6 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 72

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:01.970747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.731827Z digest=sha256:f6d84c96f8fcba06b998bd6e0934ae75d8f57cb3a51921c58367dcd30204eb4f

Observation 7fba3b88-21cc-4a32-aa9a-287a7d46bf08 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 73

Resolution
unresolved
raw_fallback, observed 2026-08-16T05:23:01.955317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.736949Z digest=sha256:ad4805df1589059a1616c5494a8513c6f99cc3cd3069b0d6528538be7402ab5e

Observation 689efcd1-4d50-45ae-aa7e-f06ca9b9de66 · outbound

This paper cites an unresolved cited work.

Quadratic spaces and Selmer groups of abelian varieties with multiplication Unresolved cited work

Reference 74

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unresolved
raw_fallback, observed 2026-08-16T05:23:01.940975Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-16T05:23:01.742309Z digest=sha256:7ed20919528beecc077ec8e5bb4341bbd58c3652ae0e1a84a87e01a3f9d39d56

Pith citing papers

Observation 032a10fa-2e33-4daf-b7c2-533086355d8e · inbound

Selmer ranks in twists of CM abelian varieties cites this paper.

Selmer ranks in twists of CM abelian varieties Quadratic spaces and Selmer groups of abelian varieties with multiplication

Reference 33

Resolution
verified exact
local_arxiv, observed 2026-08-16T05:16:08.167755Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-16T05:16:08.093015Z digest=sha256:9818caf606202fe50e6f35a12ac01b1281aac059051ef214e9bb0cd3470bf95c