Paper Citation Record · LEDGER

Selmer ranks in twists of CM abelian varieties

As of 18 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 1 inbound Pith citation observation for arXiv:2504.21274.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.21274 v2

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:16:08.110314Z

measured 37 of 37 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 2026-08-16T05:23:01.665880Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-16T05:23:01.822221Z

Reference resolution

36 of 36 outbound references displayed

verified exact1
verified fuzzy15
unresolved20
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4efc159e-00b5-42a6-8b9c-5804e900a658 · outbound

This paper cites Integers expressible as the sum of two rational cubes.

Selmer ranks in twists of CM abelian varieties Integers expressible as the sum of two rational cubes

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T05:16:07.889005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad504f3c-265c-42da-a501-e9cb9cf56805 · outbound

This paper cites Amir-Khosravi.

Selmer ranks in twists of CM abelian varieties Amir-Khosravi

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.926723Z

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.

Observation e12447b8-3bc9-4af2-a375-c9172f1d0336 · outbound

This paper cites Bloch and K.

Selmer ranks in twists of CM abelian varieties Bloch and K

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.908440Z

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.

Observation 74c4e850-88ef-406c-b0e3-97c46d85e81b · outbound

This paper cites Bourdon and P.

Selmer ranks in twists of CM abelian varieties Bourdon and P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.887769Z

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.

Observation c9042164-6a23-4df4-8944-f1595654868b · outbound

This paper cites Cube sum problem and an explicit Gross-Zagier formula.

Selmer ranks in twists of CM abelian varieties Cube sum problem and an explicit Gross-Zagier formula

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.865157Z

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.

Observation 2db5db2b-7906-40f4-bcca-14ae59cb8e20 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.841798Z

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.

Observation 17066c21-80c4-462f-a286-5b49b9c223fc · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.816045Z

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.

Observation 436834be-4195-475e-b3ae-68785622f4a2 · outbound

This paper cites David, J.

Selmer ranks in twists of CM abelian varieties David, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.795469Z

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.

Observation cf439676-d278-4f94-8df9-ccc4437fa2e4 · outbound

This paper cites Diaconu and Y.

Selmer ranks in twists of CM abelian varieties Diaconu and Y

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.770811Z

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.

Observation b58a2df4-1ef0-4780-8c9e-878c78868c12 · outbound

This paper cites Edixhoven, G.

Selmer ranks in twists of CM abelian varieties Edixhoven, G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.752441Z

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.

Observation b1ab116c-df6e-44b9-af0e-cff2fd517a0c · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.730014Z

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.

Observation 970ac091-9c03-4d19-9540-7a18d8cc1498 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.702216Z

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.

Observation 61929df7-c9fe-41d9-83e7-b6b786f09ab8 · outbound

This paper cites Klagsbrun, B.

Selmer ranks in twists of CM abelian varieties Klagsbrun, B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.679829Z

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.

Observation 694d9994-6a87-4259-9d1e-5c92974afff1 · outbound

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

Selmer ranks in twists of CM abelian varieties Sums of rational cubes and the $3$-Selmer group

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T05:16:07.976215Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 520f5d89-17ef-4c88-9c81-f01bc94aa263 · outbound

This paper cites Lagarias and A.M.

Selmer ranks in twists of CM abelian varieties Lagarias and A.M

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.658449Z

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.

Observation 5577b7a4-e27a-40a8-a648-6d9af35f7a71 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.632665Z

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.

Observation 92e4803e-8f2e-4167-b6f0-294cf932006d · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.609775Z

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.

Observation 4dbd2e56-cdb8-4ed6-9e2d-ecf358afeb99 · outbound

This paper cites Mazur and K.

Selmer ranks in twists of CM abelian varieties Mazur and K

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.581061Z

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.

Observation d8cd2088-19fa-48c2-9856-028a916b7b7d · outbound

This paper cites Mazur and K.

Selmer ranks in twists of CM abelian varieties Mazur and K

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.559276Z

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.

Observation be323190-b64e-433a-a285-8b0b171ba692 · outbound

This paper cites Mazur, K.

Selmer ranks in twists of CM abelian varieties Mazur, K

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.535306Z

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.

Observation d266c634-3abe-4aef-9d89-455ec33783a4 · outbound

This paper cites Mazur, K.

Selmer ranks in twists of CM abelian varieties Mazur, K

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.511253Z

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.

Observation 1c77e5c4-47d7-479a-a96b-3bf5541615a6 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.490500Z

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.

Observation cea5ce5c-64a5-4b3a-acbe-2df9938bbc2d · outbound

This paper cites Neukirch.

Selmer ranks in twists of CM abelian varieties Neukirch

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.471496Z

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.

Observation 3cc2de28-d3a0-4e9b-9c1f-c6e310b9b950 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.450835Z

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.

Observation 28abe647-ad5f-4b1a-ba2a-5c5dee2de94e · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.433130Z

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.

Observation 2d445192-0045-4647-88ed-f7dc6d965d94 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.411579Z

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.

Observation 75bf62d7-bb13-4de9-a945-5c9ab5639199 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.388494Z

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.

Observation 9b776ae7-c45a-4311-9843-aaf3f7b82d9f · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.368004Z

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.

Observation 0f5c39db-d3b4-4835-a584-2eff843cb912 · outbound

This paper cites Serre and J.

Selmer ranks in twists of CM abelian varieties Serre and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:16:08.349100Z

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.

Observation 746b67df-1c3b-4638-958c-57e6ca0330c1 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.328019Z

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.

Observation 8775a2d1-71c9-430c-a171-1acebafacc00 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.307235Z

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.

Observation 0626d15b-3a59-4d9e-90bf-5f24617112e6 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.285906Z

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.

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

This paper cites Quadratic spaces and Selmer groups of abelian varieties with multiplication.

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 2026-08-17T06:30:58.91139+00:00.

Observation 4590531d-55fc-4926-8327-c8f39700b8b9 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.267749Z

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.

Observation c870c370-cf05-4513-aa24-2406b32f8a3d · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.246670Z

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.

Observation 6cd1a313-2467-4be1-8130-ad52a6f2ddf9 · outbound

This paper cites an unresolved cited work.

Selmer ranks in twists of CM abelian varieties Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:16:08.226462Z

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.

Pith citing papers

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

Quadratic spaces and Selmer groups of abelian varieties with multiplication cites this paper.

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.