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Paper Citation Record · LEDGER

Sums of rational cubes and the $3$-Selmer group

As of 13 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2405.09311.

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

pith.paper-citation-record.v1
2405.09311 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 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 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:44:09.887153Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 5c4939a9-f7be-49a7-b9e6-5fc0546e0d08 · inbound

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two cites this paper.

Infinitely many hyperelliptic curves of small genus and small fixed rank, and of any genus and rank two Sums of rational cubes and the $3$-Selmer group

Reference 8

Resolution
verified exact
arxiv_id, observed 2026-05-19T13:07:18.148122Z

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.

source=pdf_text observed=2026-05-19T13:06:11.119310Z digest=sha256:b609922795756c83486de447ad6166759bc84d8d422bf83b1f49678983aa818d

Observation b3fc220f-c099-4cce-ae34-7e3449ccc657 · inbound

Solvable Descent and the Grunwald Problem for Solvable Groups cites this paper.

Solvable Descent and the Grunwald Problem for Solvable Groups Sums of rational cubes and the $3$-Selmer group

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-05-10T03:59:47.410006Z

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.

source=arxiv_source observed=2026-05-10T03:57:09.175933Z digest=sha256:fddccc232d7a2cdd3846bcbfe548f6cf98c5a253677c885b58c98bcfa7039f01

Observation 5a0edb41-2c95-40c2-9d1b-af9ddda5fdf6 · inbound

Recent Progress around Cohen-Lenstra Heuristics cites this paper.

Recent Progress around Cohen-Lenstra Heuristics Sums of rational cubes and the $3$-Selmer group

Reference 12

Resolution
metadata mismatch
arxiv_id, observed 2026-07-02T15:37:06.651409Z

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.

source=arxiv_source observed=2026-06-27T23:46:28.517668Z digest=sha256:a5054636ca2a46c391aa1bcf1e2cf9a30a9ea067e328bbb860f0778a6cfaeada

Observation de4468b4-f816-4f1f-87f7-23afdf9e7261 · inbound

A Ramanujan Pell Elliptic K3 Surface and Primitive Five-Cube Near Misses cites this paper.

A Ramanujan Pell Elliptic K3 Surface and Primitive Five-Cube Near Misses Sums of rational cubes and the $3$-Selmer group

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-02T07:58:42.344848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:58:42.344848Z digest=sha256:21b9ab4c48d60eaf65039f8ce979819aac404055445eb8ed5d47083d858d2764

Observation e790ee25-9109-4d0f-8676-6662189af79b · inbound

Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ cites this paper.

Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$ Sums of rational cubes and the $3$-Selmer group

Reference 32

Resolution
unresolved
no resolver link, observed 2026-08-07T10:44:09.887153Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:44:09.887153Z digest=sha256:d9d759cfcfebff8e7a3e94f246c94ed7367355ebc1917a9e50b6c8a6161f0bf1