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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.346221Z digest=sha256:3862af4651cdfc515d4d4da38dd043d5a5e80e57df95a82ae279532d7e910cb4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.355680Z digest=sha256:4bf198ea6f4bc0ec52fe4321686668699a76f4fa4775fe4730e66958afcc653b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.361808Z digest=sha256:87e840858235ca8ff42c6a6b10a7022e3a0b388079388dff8b765a5b2bf4184e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.367534Z digest=sha256:82d6f5ece392827e8aa0d350719f752a0bbb53752009ede776ff37a59441e818

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.374728Z digest=sha256:4867360d46bb5fc93458f5c74cf891b149c6d906bd5948aaf7a9b66f7e2ec6f0

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.

source=pdf_text observed=2026-08-11T12:08:34.387421Z digest=sha256:0fa3df469af79cb8cd75c1fbb174ebf6d9aa0ef0d7f171b373f9ef9ae538c328

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.393207Z digest=sha256:64b58720da9d319605fc4ab05e1b4743434c06aba100e619b768ae4216d3fcb2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.401754Z digest=sha256:e5e37c78dcfa7084a50ca723a1f32fd63083320550c231ab68077498ff44e200

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.409187Z digest=sha256:c298b6bee202eef8f26065e97e036d5bfb02ab8a4f3bc6745be710f966e9d219

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.415938Z digest=sha256:57c3de45e7a85b01da4be29e8c9ce1dc2126119d41d1987c53e403f5efc8c58e

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-11T12:08:34.382170Z digest=sha256:d41ceb6901ea511b778f07aef5bba2680fcfe8acff19935f99ef73490c4af0cc

Pith citing papers

No inbound Pith citation observations are available.