Pith. sign in

Paper Citation Record · LEDGER

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

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:9f42d3e3791cc6d8c7ba9edf52b4ab6f86100a4af3ca455bb8c65ea83aa0b43b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:bdff5e52aa862b455c40e8321e1c921dafead11c9cf7e9a8de0d2e736fad5700

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:6aff014154530f0bd7d03c744ea9bfa379be14266f7fb6011acc20feeb61f856

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:5f60b9e134d19247b673658442c21145534786e1264a82dcfeb6fa853b5498c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:d9108cbc917f1ea06ca5e449d866319d0884da5c8e85a203763d99c08984d471

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:9daec3569687301dcf2e8477e719dc94e4870b9041322b0eb8b22f7a0fd5e6e3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T09:46:18.827028Z digest=sha256:65378ca602f463854d955e33e81a0cdb5c30f0c46f84696b30d11021512adc48

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-05-24T03:41:49.680300Z digest=sha256:183998ee4056f963f070ec296f7d51eb729a5dd59c6917d153f30c635af396ff