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Paper Citation Record · LEDGER

Consecutive moderate gaps between zeros of the Riemann zeta function

As of 12 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.15481.

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

pith.paper-citation-record.v1
2412.15481 v1

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:34:26.775395Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

14 of 14 outbound references displayed

  • verified exact0
  • verified fuzzy7
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f9b15ff-f3c8-40bc-9e5d-c6cc012f8e52 · outbound

This paper cites Arias de Reyna and B.

Consecutive moderate gaps between zeros of the Riemann zeta function Arias de Reyna and B

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:27.058491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.699022Z digest=sha256:fac748c1825f0e861c878c0ede3e3b590f4497e181f2f76d257a3cfe7606d742

Observation 30c77a0d-d78b-40a8-b699-2d13440e71f9 · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:27.039093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.706359Z digest=sha256:c8b2f7b47667f1fb842c411d019219d1a3945249272770478c9ea900fc58f840

Observation dd883ca9-64f4-460e-a546-3c54d4680b63 · outbound

This paper cites Conrey and H.

Consecutive moderate gaps between zeros of the Riemann zeta function Conrey and H

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:27.020705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.712367Z digest=sha256:e26f883bb1ce0220cc88dbaffb49bcf1d73b73cbafdebd6dc2a55c0516837f53

Observation 96654169-8b17-4e7d-b88c-9c38a44f226a · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:27.003107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.718468Z digest=sha256:a59f001e5cba2b217a90b29adf3fb621ba6f5db0c803aaf0d391348dc7fcb321

Observation 8491c217-f297-45ee-b7ca-f278607276b5 · outbound

This paper cites Davenport, Multiplicative Number Theory , Graduate Texts in Math.

Consecutive moderate gaps between zeros of the Riemann zeta function Davenport, Multiplicative Number Theory , Graduate Texts in Math

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:26.985551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.724176Z digest=sha256:5d3f5945828a0f850e043d3d9ca3f4a49ece4590e85dd1bcc5ab8a0acb772558

Observation 1797dc16-8543-4e7b-80c9-cec903fa9ca8 · outbound

This paper cites des Cloizeaux and M.

Consecutive moderate gaps between zeros of the Riemann zeta function des Cloizeaux and M

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:26.965194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.730269Z digest=sha256:3aa14bf82e5ea8123cf56796d7974502c5f4557a804f2adcb051b68d4c640671

Observation 30c09d7d-802e-4277-a948-da79871dbb98 · outbound

This paper cites Fujii, On the distribution of the zeros of the Riemann Zeta function i n short intervals , Bull.

Consecutive moderate gaps between zeros of the Riemann zeta function Fujii, On the distribution of the zeros of the Riemann Zeta function i n short intervals , Bull

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:26.946877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.736969Z digest=sha256:bc59ea19a254108c0580ba567f4426039d71b397142c2bca2a0786794fc8279a

Observation 1cda18bc-3375-4df8-a740-8a9ce4ce09b4 · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:26.928058Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.742043Z digest=sha256:6ffbeb3f6b477c0a65813e5c160347f52fc0eec9e462aa9c0099d9fc7e7910f8

Observation b61d3fb7-044e-44c9-b79c-895f9e4cc681 · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:26.908434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.747832Z digest=sha256:3896b9f90bbc5cd8788f4ac5f41a13d08fdfa1e982f795431f02b7ac88acde11

Observation 302d5ca7-e6d0-4a8b-b052-5dfb285f104f · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:26.887317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.753148Z digest=sha256:d2b80ac3fcee7c1cc9162bd7a17572d6fb8a1a8e65a2051382205d58eccbf201

Observation a211c5d2-6dc0-4224-b65f-3f08cc46896b · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:26.868661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.758940Z digest=sha256:af8d3d952690c89cd9a5884422c7f1a59110f281f3f1563c3084bec5eb33badc

Observation e6612896-3f4d-441c-a3b9-299dda24d43a · outbound

This paper cites Rodgers and H.

Consecutive moderate gaps between zeros of the Riemann zeta function Rodgers and H

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:26.851714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.764406Z digest=sha256:e2eb3c9d736711101ef9daf17029e58fdfc80e346b6ec63b457d8c99a9f343d5

Observation 2e3e24b1-e13a-4fad-826c-2bc8a6f88b39 · outbound

This paper cites Rudnick and P.

Consecutive moderate gaps between zeros of the Riemann zeta function Rudnick and P

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:34:26.834366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.769798Z digest=sha256:62ad068620e473491171a16cc64cbf1b129887dd3b3e27e0ab6378526422ffd2

Observation ad994ef1-198e-440b-92a0-a70cfee94fd4 · outbound

This paper cites an unresolved cited work.

Consecutive moderate gaps between zeros of the Riemann zeta function Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:34:26.815753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-11T11:34:26.775395Z digest=sha256:a8805b7963689a42110840b11718a032f1c3cafac56110573d6b0e895ae122b0

Pith citing papers

No inbound Pith citation observations are available.