Paper Citation Record · LEDGER

Siegel zeros and small gaps between zeros of the Riemann zeta function

As of 23 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2608.07399.

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

pith.paper-citation-record.v1
2608.07399 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T14:40:47.975674Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+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

22 of 22 outbound references displayed

verified exact1
verified fuzzy9
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d1d4e705-0c2e-4693-b7a0-aa0261782697 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.244440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation da402a55-30e6-4e4f-98f7-2a2ced2f79d0 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.233506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a37050bf-0515-487f-b944-21bc2dccc82c · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.223382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5a570bfc-fedb-4c98-b970-99d5912bc267 · outbound

This paper cites Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions.

Siegel zeros and small gaps between zeros of the Riemann zeta function Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet $L$-Functions

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T14:40:47.909482Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77d34374-c7b0-4f10-a58f-8d73217112a2 · outbound

This paper cites Chinis,Siegel zeros and Sarnak’s conjecture, J.

Siegel zeros and small gaps between zeros of the Riemann zeta function Chinis,Siegel zeros and Sarnak’s conjecture, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.213593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ebb75aa0-2707-42b0-bd13-f46d651c3465 · outbound

This paper cites Chirre, F.

Siegel zeros and small gaps between zeros of the Riemann zeta function Chirre, F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.199747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 01ac10ec-05b2-48cf-89c3-1c1100bd7396 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.187098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 920bb31b-8976-4e99-bf07-d13563a76120 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.176504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c07f3df4-718c-469e-817e-dce07194d4ea · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.165742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 831eb6ed-bc5e-4941-b422-7969ce522e57 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.155226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation be0ae276-1ebb-4c60-899e-59d270a45f8c · outbound

This paper cites Feng and X.

Siegel zeros and small gaps between zeros of the Riemann zeta function Feng and X

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.144527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5bddec7c-dded-47aa-b48f-e338716a663f · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.133143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9031742d-7fc0-40f9-8fc7-dd4808268878 · outbound

This paper cites Guth and J.

Siegel zeros and small gaps between zeros of the Riemann zeta function Guth and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.122782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0701b3ac-91ba-4579-9217-1c2815554753 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.111980Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation d0e2d7f8-1815-48e4-a97a-60ef81e36002 · outbound

This paper cites Riemann Hypothesis.

Siegel zeros and small gaps between zeros of the Riemann zeta function Riemann Hypothesis

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.100188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5ee12cf8-40fe-464d-acc0-4c8fe4ce1f08 · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.089072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2a2024fc-86ed-4c16-9c34-fee5864865ff · outbound

This paper cites Small gaps between consecutive zeros of the Riemann zeta-function.

Siegel zeros and small gaps between zeros of the Riemann zeta function Small gaps between consecutive zeros of the Riemann zeta-function

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-15T14:40:48.004250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a3093407-5145-47fb-9792-86f549b27c90 · outbound

This paper cites Inoue, H.

Siegel zeros and small gaps between zeros of the Riemann zeta function Inoue, H

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.075496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4155636-76bf-4d61-bc07-093187d94d53 · outbound

This paper cites Kerr,Bounds of multiplicative character sums over shifted primes, Proc.

Siegel zeros and small gaps between zeros of the Riemann zeta function Kerr,Bounds of multiplicative character sums over shifted primes, Proc

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.064558Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7705990c-6f30-4ec6-9068-b7b9cb035cda · outbound

This paper cites an unresolved cited work.

Siegel zeros and small gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-15T14:40:48.053552Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f03927a7-c373-49fc-86ae-df42cddc0357 · outbound

This paper cites Preobrazhenskiˇ ı,A small improvement in the gaps between consecutive zeros of the Riemann zeta-function, Res.

Siegel zeros and small gaps between zeros of the Riemann zeta function Preobrazhenskiˇ ı,A small improvement in the gaps between consecutive zeros of the Riemann zeta-function, Res

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.040038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f893d2fd-63ad-41bd-a490-a321cb1798ca · outbound

This paper cites Tao and J.

Siegel zeros and small gaps between zeros of the Riemann zeta function Tao and J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T14:40:48.028829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

No inbound Pith citation observations are available.