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Paper Citation Record · LEDGER

On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2207.03309.

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

pith.paper-citation-record.v1
2207.03309 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T03:55:48.921447Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T11:45:47.020844Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 7902c80a-fd76-4f29-9f19-5a7b040cb125 · inbound

Geometry-of-numbers methods over global fields II: Coregular representations cites this paper.

Geometry-of-numbers methods over global fields II: Coregular representations On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:51:46.357897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-05-10T06:47:32.731947Z digest=sha256:6d585afd4f0856fe3f8700452d537c6bc03c75871b3bee3882a0edea026bdc27

Observation c4a1831a-7441-4840-9b68-a74a693eb00f · inbound

Tamagawa ratios and unbounded Selmer moments cites this paper.

Tamagawa ratios and unbounded Selmer moments On average sizes of Selmer groups and ranks in families of elliptic curves having marked points

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-07-01T11:45:47.022284Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-07-01T03:55:48.921447Z digest=sha256:716fa0b71197e812803bed39952871f7f3f396c84fd5ae68cb236922c8e4f36b