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Paper Citation Record · LEDGER

On $ p-$Rationality of Cubic and Quartic Number Fields

As of 12 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 1 inbound Pith citation observation for arXiv:2304.10157.

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

pith.paper-citation-record.v1
2304.10157 v3

Coverage vector

measured 7 of 7 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T09:46:18.827028Z

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-24T03:41:49.680300Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-05-24T03:43:50.232542Z

Reference resolution

7 of 7 outbound references displayed

  • verified exact0
  • verified fuzzy5
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c656829b-490d-4e54-8b54-8d765eed4555 · outbound

This paper cites Assim and Z.

On $ p-$Rationality of Cubic and Quartic Number Fields Assim and Z

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:49:18.539519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:bb145d154628f11dc38e80bddbfc0be70092cf0e93380668b18b2483fb39c234

Observation 99de0b2a-2b86-4cce-88da-8abc91816f91 · outbound

This paper cites Barbulescu and J.

On $ p-$Rationality of Cubic and Quartic Number Fields Barbulescu and J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:49:18.535681Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:7140a9942625f7c564528db7670b98fec7cf9079d58d5be3b4d3653558272c31

Observation 1f23bf15-5d20-4b99-aeda-409366862528 · outbound

This paper cites Elliott, Probabilistic number theory.

On $ p-$Rationality of Cubic and Quartic Number Fields Elliott, Probabilistic number theory

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:49:18.523573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:88c97818e9e63d1743110f204145238f8aae213998ab4023d5deeae54acda83e

Observation 494553ed-578f-46e0-849b-664cbf6457a0 · outbound

This paper cites an unresolved cited work.

On $ p-$Rationality of Cubic and Quartic Number Fields Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:49:18.543054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:b9b1c5a0703b48f874b2a9560f9c36e15dae54331e923d279789741dc117b1c0

Observation 3835d305-9de1-4fe5-b7f3-1065a136aeab · outbound

This paper cites Gras, les θ− r´egulateurs locaux d’un nombre alg´ ebraique: conjectures p− adiques, Can.

On $ p-$Rationality of Cubic and Quartic Number Fields Gras, les θ− r´egulateurs locaux d’un nombre alg´ ebraique: conjectures p− adiques, Can

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:49:18.527729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:2f99276b95c9cfe194bc0d44fcfa4021073840a274bd8f31793d781192c538c7

Observation c64b5c69-bc55-4ab6-8de0-2777261248ad · outbound

This paper cites an unresolved cited work.

On $ p-$Rationality of Cubic and Quartic Number Fields Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-24T09:49:18.520129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:27a449e907296996ba6bbc1d910cf1d1a373f86fe6ff23793091bf6f363dbb99

Observation 8fb99938-8e26-4704-85c2-b62721f08789 · outbound

This paper cites Movahhedi, Sur les p-extensions des corps p-rationnels.

On $ p-$Rationality of Cubic and Quartic Number Fields Movahhedi, Sur les p-extensions des corps p-rationnels

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T09:49:18.531870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:518a6fbd2ab875245a1049027231e8e8c5850052bc5d5a329a692100d7fcdf15

Pith citing papers

Observation 2b57ad5b-3438-4f64-9757-8acd2cc16fec · inbound

On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-Fran\c{c}ois Jaulent cites this paper.

On the $\mathbb{Z}_p$-extensions of a totally $p$-adic imaginary quadratic field -- With an appendix by Jean-Fran\c{c}ois Jaulent On $ p-$Rationality of Cubic and Quartic Number Fields

Reference 49

Resolution
verified exact
local_arxiv, observed 2026-05-24T03:43:50.234568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=arxiv_source observed=2026-05-24T03:41:49.680300Z digest=sha256:b966829d7f36a8f49a4dda3cdf340bfd835b24134c0eccbcfadd587e2f411b14