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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 2026-08-18T06:34:40.430872+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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local_arxiv, observed 2026-08-16T05:23:01.926589Z

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.

source=pdf_text observed=2026-08-16T05:23:01.388010Z digest=sha256:07fccfc68baf14bbb96c5fddbcdfebc6794a491fe907212a5008b335de175121

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-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.394495Z digest=sha256:b0af506152bba60931bac7f1fbbb3d9c7812eef65c7adfe393b019c2cc25aa4a

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.399073Z digest=sha256:89822e02e4ee487f929d8cd5b64b84d086b955e91f94d19c95653cfad2e893a1

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-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.404044Z digest=sha256:a6882398225926c3f81b4f18abc7be9c4a395543855218faabfb1d56b861c72e

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=sha256:71375ec2967e11dba4fadeea5bbd13647b0cbf461c6304769cc4a45de9c3c505

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-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.414161Z digest=sha256:5ae29640801b7de7d42fc03b98c249ff6100a3e88190e58b1b9c81325577742e

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.429368Z digest=sha256:325792f96df56921507165bffc49a7be34a1e4d96e24738ecc8deb978b210d8f

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:a004a078671fe496cb3816e1a7374fd20824050d456a74dcc11c9b0ee0e325ee

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=sha256:420e93eab379eb4967332ca228860498b9f1e150ddbe4cb2543331f76647d4d8

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:bbc4fe353411d943cb50563a49b7dd1b3c6d94d5d12c2cc10c1064f7df456102

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=sha256:70abd787415c73878754f7b4c0b36c3faddabc6bdfc502fdc6cb82d27f7e3582

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=sha256:3886703fd3ed33b5778a841ff07586a570994f5594998f2efbb81015b1799934

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=sha256:192e6c45ca611f372f8ecf3d27d7f9abc31e8f59cce7d9d682667b8e025afbfd

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=sha256:29fcf284b5554d2064319c22be38504ca24f9da4acdfa6195a6076fcfc99249c

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=sha256:92ef1ccf7c36d8662224f42cb12100b8e250bf9c8e05c66fd916bcf6ecb2473b

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=sha256:1ee1bf9243c28025523fc5baf0d7ce076d88bac5a5d4b66f6f7bae1321d8a8c7

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=sha256:392b2edfc6fc38d16bee5c8bb8ff5bf6719cf32c1e44f7f20216784714f8ff94

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:c85caff875d96baa2a788d69ad288fbecf6adc077c84991aedc19e25d8230871

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=sha256:94073d5b5e11f2b93d55a01cb63c02fb0c88768a3ca9931e07a502a7e65c6869

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-reported events for the cited work

Unavailable: canonical work link unavailable.

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=sha256:45fedcc5b4c2f01f7aeafa7e932719c60e56d15321fa123a3bd6131440f76432

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:b1e1a672cc51383136b74730a236e4a3ce1f0952bf8bb94d25740abf23ee8bbb

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=sha256:53704bf83d094fa8b6392a34ed8d61c3df6bb523e18dfeb1baf55471406931ce

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.506905Z digest=sha256:68fc83b87c6233fd823bcac31ba3b51312828d43e7dee410e313baad03a2c029

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:de40255db98332ce6ef6ade671e2065402b242ba450469a3b4e7dd1b86df0d81

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-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.516018Z digest=sha256:2fb0e49dbf1ff9911c39cd7cb1f75d6942aa6e3ff4e626128909c8e077bb62e6

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-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.520967Z digest=sha256:8a6257af017facf7709ac2892c4d891c8dc3b60264d7a2bfeaf284b1ba4abc11

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.525780Z digest=sha256:1f3b128f6d493ea66fea509bf95f313e53e2512458bc139f714052354eb7505a

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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raw_fallback, observed 2026-08-16T05:23:02.513069Z

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.

source=pdf_text observed=2026-08-16T05:23:01.530298Z digest=sha256:3a9a9c6627a1fe332f79fa262768746e8fa3cf210e8dff306426ab02822ee500

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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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.

source=pdf_text observed=2026-08-16T05:23:01.535024Z digest=sha256:8e6f857f2cef3f0f6b2f602d314e15d3ed1ca83ec3f0f2712208812810b013c4

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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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.539775Z digest=sha256:b99ab4955067060c8c5941c88b984dbb7967398408b0b7431d369ab2e0316313

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=sha256:23565df6cdcf4062df20f4b91534ae2c6fada0320e606ffa71665a43fcc84fe9

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=sha256:978de99872ae848aa7284cefbd7e39b394adcfcad13737d66e0be400796d8662

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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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.

source=pdf_text observed=2026-08-16T05:23:01.553845Z digest=sha256:546dbccbc2717f1a8e6a3d839bdb6ae682d14e8c13aebcf4fcfb00eeb7f79ff1

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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raw_fallback, observed 2026-08-16T05:23:02.422628Z

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.

source=pdf_text observed=2026-08-16T05:23:01.558386Z digest=sha256:5aa7a3cd65cf89885f10f9273cce216e6ca7bcad10a7061c56de347b2be4ba78

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.562748Z digest=sha256:008b70f4a4e5635dfc20e0a6d56b16b30c5ee9b6139b5f50ef74c7b2568914d1

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.572602Z digest=sha256:54a42a4641d2b84237014f1badbd831fa11b7fd766e00a2ea8aaaf892cc549d5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.577550Z digest=sha256:cd79ac30cbe74c19c5b84b3d31f583c425458f4a5f4a89c465b4ac0e1732eaa0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.582439Z digest=sha256:0c1a5945ba6fc6e7cd7411538a73535ad3e10c1ed9c42d8df70f01c36444d264

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.587319Z digest=sha256:e6a6689b05fae0c14cac4d3a61fc2a299a6e81aac1428a262d60196ea99e8104

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.592070Z digest=sha256:60d752ad324d25e7a003fb7815eff125ac5fcd71ffbca36683ea242aee3d75fc

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.597829Z digest=sha256:bc34ede308fbc1067e19832ab495e4d35e2dd887109ce5132c087ec90da15b15

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.608373Z digest=sha256:e1ce5f4397cd730aebfd4e8cd0261673c958dd8e00f5f2fae955e99ab6febc18

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.613318Z digest=sha256:405bf790ce82c78eb54eeb9ac3a82b348cdc271451c38d299ab22fc29ab2ff76

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.618148Z digest=sha256:a22bc8f79ccfadb88ceaa7148c6bef56d9d2bec21d232f7c657e56897e7fa6d3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.623136Z digest=sha256:7500c15c74ea80fdb96f7dc00c3502ec16ac2135a9502fc342c0b50d4be0559b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.628090Z digest=sha256:01cb8fecae498a1e83e336e7dbf5801bbe5851c195f991d9209efd2aa48b6208

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.633057Z digest=sha256:4877370b5ef539d85ba500fa2c02e9cb903af478df518ee7a0b446d702a19f07

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.637916Z digest=sha256:d7fc29417bc10cb5f4c1bf621976bb9767985cf870868eb6c26c162fb4b64a6c

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.642694Z digest=sha256:9c37da07ab657c51305c21b61838f44e7a746a28d019e5f86c68bcd6ae11619f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.647613Z digest=sha256:6a4cbd1d2b8173357781cbea9a9c549e92ecda895cdf40dce63b475246421205

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.652089Z digest=sha256:9dbadb5be5c090728fadad20bfadaad45184d66bb6e1131ea03a7280faca82bf

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.656608Z digest=sha256:58388c3f2a1545348a47aa898b7903235c667c62a78b75061c6bb4606c918d8e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.661333Z digest=sha256:8fc0ddaa45f17548e1fe7d7370d1af34e7adf171a8f47ff2547e1ee4dc99ba40

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.665880Z digest=sha256:4b04fa9f28b67f386c883393e3dc1e2f3286ab4083edb677e45353a38f1bbf43

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.671461Z digest=sha256:bb2705d2f415ba0a5e46c56ae72c0d1bad43f3d75a81a57e8a054e2d79cd6ac9

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.686418Z digest=sha256:d4eda793ad53d660f8565b833b738d92ad863d5af9e6b35ee3ef499ea978ad8e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.691231Z digest=sha256:f22c9e30fa7983393328e7c6ec908a0f66fb974efbe24535a98e632b0394be64

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.696883Z digest=sha256:bd548937d9df980f7f662d4343a7034b4da29d764418394118fc0aef33be48a3

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.702259Z digest=sha256:99ccdd6757f5cbdeb46b7189c9154e7a91d094b102bf774e8c283678e00aebe8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.707476Z digest=sha256:b9f402d4983203b7df472f76a47c7925658a39af08d7925f397d9c6cb0a41649

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.712538Z digest=sha256:9be834318b4aeb3abcb8df5d9d9a0bf3453524e41d18d0dbcfc8959988fdfe78

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.717399Z digest=sha256:d721b533556e28316587cc67185c691416e1dadfce250c596c2e055dd9cc1214

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.722257Z digest=sha256:b3f1dfa2c8b3a7b7c8e0e371e0ccac4e8486bf52075fb8b99715ad0a7cc1c62e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.727146Z digest=sha256:806ab366604a09f805e1c6e19e747ba7374db3da40a83109744557a7b65e5e04

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.731827Z digest=sha256:36c96796e2c617a6cb0db623e2025558f26242ae8d4b3fe864acea890caa9956

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.736949Z digest=sha256:c3f6ee66eff387bd7fbe092f53abbd8f5b4aaca767f5fc31368e2999ff8f3cbf

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:23:01.742309Z digest=sha256:336b2a6b1fe529e0d65efb7f7364ec4e75dc8b0ccb38a79fca057eadda1b1201

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

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T05:16:08.093015Z digest=sha256:7b1221cda5018451db58808634cc79815a110d6bf6f381958e307ba47a5e9bb2