Paper Citation Record · LEDGER

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function

As of 11 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.04316.

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

pith.paper-citation-record.v1
2607.04316 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T20:08:31.481983Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

15 of 15 outbound references displayed

verified exact8
verified fuzzy0
unresolved6
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 23a613eb-1826-45b3-8b03-143d546d1ddb · outbound

This paper cites On a positivity property of the Riemannξ-function.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function On a positivity property of the Riemannξ-function

Reference 1

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.561717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cecedffd-239b-441b-98fa-fbae5acd8ffa · outbound

This paper cites A monotonicity property of Riemann’sξ function and a reformulation of the Riemann Hypothesis.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function A monotonicity property of Riemann’sξ function and a reformulation of the Riemann Hypothesis

Reference 2

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.595873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 45081336-1450-415c-a8b9-24b755197ff6 · outbound

This paper cites Horizontal monotonicity of the modulus of the zeta function,L-functions, and related functions.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Horizontal monotonicity of the modulus of the zeta function,L-functions, and related functions

Reference 3

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.590203Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6e76115d-23f6-40a8-8f1a-65a48be78fa6 · outbound

This paper cites A monotonicity property of Riemann’sξfunction along certain curves.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function A monotonicity property of Riemann’sξfunction along certain curves

Reference 4

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.566354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f5896c2a-e79a-4d7c-8767-0911ca01d1cd · outbound

This paper cites On a positivity property of the real part of the logarithmic derivative of the Riemannξ-function.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function On a positivity property of the real part of the logarithmic derivative of the Riemannξ-function

Reference 5

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.576962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c2f7b3a4-cdda-40e5-8dea-38c8ab9d75af · outbound

This paper cites Note on the positivity of the real part of the log-derivative of the Riemannξ-function near the critical line.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Note on the positivity of the real part of the log-derivative of the Riemannξ-function near the critical line

Reference 6

Resolution: malformed identifier; doi_truncated, observed 2026-07-11T20:18:14.604192Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1fa6071e-ac97-465a-85aa-2baeffcd3be2 · outbound

This paper cites an unresolved cited work.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 712e7f4f-c944-4826-84cf-da81b4ef9a9f · outbound

This paper cites Edwards.Riemann’s Zeta Function.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Edwards.Riemann’s Zeta Function

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 20016310-ac96-4751-85ed-f6f088780426 · outbound

This paper cites Moments of the Riemann zeta function.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Moments of the Riemann zeta function

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bcc619e8-8f5a-453d-9ca1-425c2b471dc1 · outbound

This paper cites Selberg’s central limit theorem for log|ζ(1/2 +it)|.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Selberg’s central limit theorem for log|ζ(1/2 +it)|

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2cee06f-3d2f-414b-83f2-f374ef71648d · outbound

This paper cites Finite Euler products and the Riemann Hypothesis.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Finite Euler products and the Riemann Hypothesis

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d1b4e366-8c2c-47e8-952f-1f6669a9bc5a · outbound

This paper cites A hybrid Euler– Hadamard product for the Riemann zeta function.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function A hybrid Euler– Hadamard product for the Riemann zeta function

Reference 12

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.581549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d432a9eb-29b5-40bf-b0bf-d0777cbec792 · outbound

This paper cites A hybrid Euler–Hadamard product and moments ofζ ′(ρ).

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function A hybrid Euler–Hadamard product and moments ofζ ′(ρ)

Reference 13

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.571440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3b4099de-3d5e-413f-ae69-7656da1e4756 · outbound

This paper cites An electrostatic depiction of the validity of the Riemann Hypothesis and a formula for theN-th zero at largeN.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function An electrostatic depiction of the validity of the Riemann Hypothesis and a formula for theN-th zero at largeN

Reference 14

Resolution: verified exact; doi, observed 2026-07-11T20:18:14.616522Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6d5f54fe-334a-4d37-b04d-5de0200c5183 · outbound

This paper cites Montgomery and Robert C.

A Gaussian-Perron Prime-Side Defect and Local Profiles Near Critical-Line Zeros of the Riemann Zeta Function Montgomery and Robert C

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-11T20:08:31.481983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.