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Paper Citation Record · LEDGER

Quadratic spaces and Selmer groups of abelian varieties with multiplication

As of 20 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 2026-08-19T06:32:44.657259+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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source=pdf_text observed=2026-08-16T05:23:01.388010Z digest=sha256:f4d90eb43d67facc96b1ad6a603483ef9810744973cedd5657e6304b1a88ce8b

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=sha256:49b1ec9f5cb4f06120f9dfd0aef7bdc980fc95193bbbc9444bc74f366babcab6

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=sha256:7c9ff21607b8a2b08628091847f0101ffb40aecbd04c85c18ba37321173d2da5

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=sha256:02fc63a1bfb98d3259a193c1d8f5d15e56036ec7c1b8a68e41c4c010ffc1819a

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=sha256:96e4f7c8a43bb79c12c302793078bc973b8392cf6e89251ecda79f370199f9f0

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=sha256:3e4fbd242de244ad28c167f98fefca869a74434109475fe8bbf2761734cf16e5

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=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:c90769560fbdb22db2a1a09c84d2bef26ffb1af0b7615eaf573041d960ad6e8b

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:ff88be822beebbe19ccac0ed1b12bd04baec0c2802678b7e630966ec8a52bcd6

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:f9786aa922fe0bac7ea12721e70736725ac14458b5da3786e75190921bf1295d

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=sha256:74d623a960155210b698489f31e60a4dc2ac16db6048e5fa8babd2248a8787ad

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=sha256:8c7da1993036d83dd6954b28adbde7ded2296d9e11c916db56dda87015786dc4

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=sha256:590dc34e5d075a5787d246168d7cc02f73f2044430120007c1e3fe688f6be7c6

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=sha256:7fb6b2a702f2a4009122a53d0629df4fa80e4833023f12da2cb841e98599dc0d

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=sha256:7d6f8c4613e6a08417ee642d980a82996ef139fee8eabfccc2ec287074bd5d22

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:bd8295263408e32e8044510ae862742781d229157ffe1ebd8591998fd2e3aaf3

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=sha256:91a176b10204fe710d997b44a668d810df604d33ea96dedb6ce2400b11d959a1

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=sha256:02eabd8093628960f0c37d200a5f22c6232346707431ca83ee535d99fa7e1e97

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=sha256:785e7c8c87d3ac6eeb200eebebcc05575278f7608606e1eb273a11a5b5d695c2

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:e57d1a3dc7ffe1df343acf2b4c51255233f0d1699b410c0c2b95551198044106

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=sha256:98c3f4a4dcb7a5d8f34ebfd7ac9d5064639ad28f5e671384b212035ca87dc793

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

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

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source=pdf_text observed=2026-08-16T05:23:01.498374Z digest=sha256:04cc1fe4f6a6b3ec7872e0fa10ab34030961426da2b417cea830c760717f9d3d

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

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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=sha256:711c9b2f61ee431ba5196512e725f9a6830183149858bf2b300e6a6150f0852f

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=sha256:6611eac25fcbc414d54aa6ce5536ce5fd08856776ad2a742cb82727156ba15b5

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=sha256:43164faa177c7bf900b95eca5fa342a0500c35f62120959f289fe39c8779bde9

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:dc43c00b5206e91db6766a3e0897f71db4a66a05ad329cb2fd463ba94b9f874b

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:ff2d1f135c41ea7d5d34e2d7539f6948e9ce3cb6f590e98faff48ddcfd48e030

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=sha256:3d56ae3d1bd50aeec7c2ad8b6fd283b5638dfd191e59fee3021cf71189679899

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=sha256:413c4fe9765a4fa1207d05162034862a20eb014e680eb3622b236340e56c7812

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.535024Z digest=sha256:58d98e5bdd5ef6c9571d9c0ecf4a341e4255b76cced6c796352caee87fd4c6cb

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=sha256:2a54bb013482271c6001e885cd995fcbd9b843d98c872925c3b63e5e56494007

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=sha256:04ad0be191278e3d5fc337954ccf2a8c3e06721eb238fa53a1b31a8749113399

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=sha256:05714746ec83f119ac11570bd0348fc1fa69b0e685895f260cb3580df4068219

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.553845Z digest=sha256:2aa68f7f2a24635d5659603ad41ed909ee1d6e0aaed398a6a9be7d933e5eb5bb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.558386Z digest=sha256:bcfef6b401850e225ecb62c1afd1423f4a28616de53e1a90e19698554f008ebd

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.562748Z digest=sha256:321bdb321c34f4ee9439a28fe0455e5c762caa115a580da59b42c0c96e98fdc5

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
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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
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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.572602Z digest=sha256:4360a50fa648b4d0f820bca72010f8796e82fcc9e673adba141a985dfe90f395

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.577550Z digest=sha256:a9e53788314f88b5572351ab715e3ae93f84c9db73ddc2b0e8bde3422cdc0f75

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.582439Z digest=sha256:6bd06e5f6aefffbd3bcd4e2e7a34c6328069cb2cb20a1dcfdc47d523f8070f73

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.587319Z digest=sha256:4c1b0d1c91ff4844f6eda4048342281b0696c6139549e230a92591488b8fc7fa

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.592070Z digest=sha256:1c26c66624c753605410eeab8c47a3240b25e6a10df5f1f76326da31151d2090

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.597829Z digest=sha256:904514fd097283233156b58eb37e7cf585cf8c0b88f92eeba241f26a5f27787a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.608373Z digest=sha256:6d47f86de03693530697253e0a4f9545de89d6d336d4b99ac869003ceba4273a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.613318Z digest=sha256:869c86548463f5200ce3e6886966a8a8d1fea053bd6335baf5ddafe6b7f768cf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.618148Z digest=sha256:bdae0747b3d6e4a622c9e2d8273c742e1f50f52fcf687d9b03014fae178a1ef4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.623136Z digest=sha256:edf77f3af69ac1d38d7e7fd2b53c31f9946d79ad772f1d69555e6b4644d8548e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.628090Z digest=sha256:026fcbeacdb32a137e0c8947839f893031e01251f87ad97283cd21fd297467fc

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.633057Z digest=sha256:ec6cbff9940f1ea3e4710567ee0447d45658f7bd1806cafe232d46c036f23b43

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.637916Z digest=sha256:5b64f86b7c1b4bd5713e87d8402706d73270acbd0a2b34b5d1a95bec13d351ab

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.642694Z digest=sha256:f3b5e587e3a15f77c7a4561caa536149978d67d804b408dd0a3015279ca6a21b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.647613Z digest=sha256:4228c1b0050d1c7f6ab81226696cc9cb1cbb8162d15b2ce864dbd495d85c6fd8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.652089Z digest=sha256:b48d34f0c76af87a3c0c69d5a7e9a1bd72294afd83ac178d45aa816b23e990d9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.656608Z digest=sha256:d02e6747d05b34a6d3c936d254efda72c890b229d2b67f7083b7f7502e899af6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.661333Z digest=sha256:3af530953dee11a5bf367c1537fedc5e69506d387e973911119540f671614243

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.665880Z digest=sha256:edb073852ad3b0ef694cd5d32c78f92b276bf8f114151d3fb4c015b8da38d88a

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.671461Z digest=sha256:c154f8d35a9523bcd762981658c095183a897033ab72553e41d0989c40c7630b

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:eee236453f6cb6673aa77e886b9cda55a69c7eafc2add85a6b8e543bc6f0e824

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.686418Z digest=sha256:1f79107bb9fc43b64f8e71a2c77c8660127619886f2f5021b85ac80c64b8775e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.691231Z digest=sha256:a558609a7ffa10c7c69122f808d9632c9a1ef174cbf1c2ff1462a356601e4ad5

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.696883Z digest=sha256:68f01f08080427d47977dd8209c4b59d0f5ca9db1bc775c4f2fe6c0f09755269

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.702259Z digest=sha256:0fec67240a29838a64aba0f094057dc25b449730027ab4668ae1785f3d1ef9eb

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.707476Z digest=sha256:89f8257afefed8b3634743e48260d3ea2f8977c9cb8e43124e368251f8481875

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.712538Z digest=sha256:2b7b6cd8d88c061152bbb201554af984f8261649d71cf1c0fe55e80dd33d69b0

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.717399Z digest=sha256:c506dc389751945da890cfe543fb23d6d1c101f3acd2d0f1758709d3decde01b

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.722257Z digest=sha256:91a4637991d4b8974b815bbb93123e38531975d752336e0c2f00c819cb56bf85

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.727146Z digest=sha256:1dda68c9e43751d66bee07300bfb8fa7323a1596d7b98d82d0f792efa134247e

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

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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.731827Z digest=sha256:aa7f4724c40b11fb38e4fd07c166932b37c589d3a9ef2a0fa0ef715a2faec0f7

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

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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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.736949Z digest=sha256:df754f45bbb38a4ed11a51c5190e38eb669426d384806fa0c732fac8c2557935

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-16T05:23:01.742309Z digest=sha256:2cb533e8b43fd24017e255493791e196b893758144900d37a0d31a3d3882adea

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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