Paper Citation Record · LEDGER

A Note on the Growth of Sha in Dihedral Extensions

As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2411.15663.

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

pith.paper-citation-record.v1
2411.15663 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T14:22:01.511382Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

verified exact0
verified fuzzy6
unresolved4
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 14c6736f-4afc-4276-9aa9-21272d4a94d6 · outbound

This paper cites an unresolved cited work.

A Note on the Growth of Sha in Dihedral Extensions Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:22:01.762657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5ce78b48-5e57-4588-b852-64f77e3c6c5e · outbound

This paper cites an unresolved cited work.

A Note on the Growth of Sha in Dihedral Extensions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:22:01.736257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 2492e903-3f51-46c4-ad46-c3cf5dfc8354 · outbound

This paper cites an unresolved cited work.

A Note on the Growth of Sha in Dihedral Extensions Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:22:01.714316Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation ad91c90d-1500-484b-ad28-f9c4e925dbf6 · outbound

This paper cites an unresolved cited work.

A Note on the Growth of Sha in Dihedral Extensions Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-12T14:22:01.692763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 1199e433-f11d-4168-9ce3-b821a14177e9 · outbound

This paper cites Dokchitser, V.Dokchitser On the Birch–Swinnerton-Dyer quotients modulo squares.

A Note on the Growth of Sha in Dihedral Extensions Dokchitser, V.Dokchitser On the Birch–Swinnerton-Dyer quotients modulo squares

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.667364Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 76f60348-6a13-49c8-96fe-3c91305671c5 · outbound

This paper cites Cassels Arithmetic on Curves of Genus 1.

A Note on the Growth of Sha in Dihedral Extensions Cassels Arithmetic on Curves of Genus 1

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.646279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 79b1d4a3-9fdf-44c0-bb11-1b8b2d6665dd · outbound

This paper cites Milne On the Arithmetic of Abelian Varieties.

A Note on the Growth of Sha in Dihedral Extensions Milne On the Arithmetic of Abelian Varieties

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.628046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 38997a21-6413-4990-b24f-2ef38f441d1e · outbound

This paper cites Serre Linear Representations of Finite Groups.

A Note on the Growth of Sha in Dihedral Extensions Serre Linear Representations of Finite Groups

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.608208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c7b48f45-ab04-432f-8787-683e1c3e991f · outbound

This paper cites Serre Local Fields.

A Note on the Growth of Sha in Dihedral Extensions Serre Local Fields

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.588017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cec7e671-3ac1-4aee-86b1-03c0845cffab · outbound

This paper cites Park Relations among Shafarevich–Tate Groups S¯ urikaisekikenky¯ usho K¯ oky¯ uroku 998, pp.

A Note on the Growth of Sha in Dihedral Extensions Park Relations among Shafarevich–Tate Groups S¯ urikaisekikenky¯ usho K¯ oky¯ uroku 998, pp

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:22:01.568209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

No inbound Pith citation observations are available.