Paper Citation Record · LEDGER

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias

As of 19 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2412.14792.

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

pith.paper-citation-record.v1
2412.14792 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:08:34.415938Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

11 of 11 outbound references displayed

verified exact2
verified fuzzy3
unresolved6
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0e9555e1-cbe3-46b4-ad0e-876635f6e15e · outbound

This paper cites an unresolved cited work.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:08:35.063398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1403b6e1-5dd3-4a05-a857-cd06f75247df · outbound

This paper cites an unresolved cited work.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:08:34.959011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 33163396-1719-44de-a36a-9b84bab98f9a · outbound

This paper cites Devin, Discrepancies in the distribution of gaussian primes, arXiv:2105.02492.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Devin, Discrepancies in the distribution of gaussian primes, arXiv:2105.02492

Reference 3

Resolution: verified exact; raw_fallback, observed 2026-08-11T12:08:34.687051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 266abf6e-f5a0-4d7b-8a58-31dfd7dbcd3d · outbound

This paper cites Elsholtz and G.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Elsholtz and G

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:08:34.940089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e8455ada-f6bf-4e54-b8d2-f7aa428f9f6d · outbound

This paper cites an unresolved cited work.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:08:34.920482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b163724e-23ba-4254-8212-6e0fc74cc431 · outbound

This paper cites Murmurations of Dirichlet characters.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Murmurations of Dirichlet characters

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T12:08:34.387421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3b9b0e2-82c2-4cf1-b190-da1aeac6fa13 · outbound

This paper cites E Littlewood, Sur la distribution des nombres premiers, CR Acad.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias E Littlewood, Sur la distribution des nombres premiers, CR Acad

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:08:34.867981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 30c591de-e790-4712-82d1-f55dd7289a3f · outbound

This paper cites Rubinstein and P.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Rubinstein and P

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T12:08:34.835249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation faaa4212-e9b2-480b-ba1e-e479b2eab1d0 · outbound

This paper cites an unresolved cited work.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:08:34.810672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 786be3c6-123a-4227-a9d6-9d041e8db9bc · outbound

This paper cites Conjectures on representations involving primes.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Conjectures on representations involving primes

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-11T12:08:34.477505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6f08c15-3b16-4569-97a3-1b9b25a9d88f · outbound

This paper cites an unresolved cited work.

The asymptotic estimation of prime ideals in imaginary quadratic fields and Chebyshev's bias Unresolved cited work

Reference 2000

Resolution: unresolved; raw_fallback, observed 2026-08-11T12:08:34.894913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.