Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T18:32:28.554759Z
Paper Citation Record · LEDGER
Small gaps between consecutive zeros of the Riemann zeta-function
As of 11 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2604.05733.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
22 of 22 outbound references displayed
- verified exact1
- verified fuzzy8
- unresolved13
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6f42057c-131c-47a7-8fe9-b1aa7fc7a249 · outbound
This paper cites Bondarenko and K.
Small gaps between consecutive zeros of the Riemann zeta-function Bondarenko and K
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.843310Z
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 e31a2e0e-9797-44d7-9d28-105752386660 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.853828Z
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 7b8b13c0-a26d-465f-bccb-97c7e61d787b · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.833740Z
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 0a670623-b750-448c-9030-1115138969b3 · outbound
This paper cites Carneiro, V.
Small gaps between consecutive zeros of the Riemann zeta-function Carneiro, V
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.837324Z
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 36abaad1-3f24-4e95-85f8-b73c81c9649c · outbound
This paper cites Chirre, F.
Small gaps between consecutive zeros of the Riemann zeta-function Chirre, F
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.852066Z
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 02342a75-5cbd-4b89-bfa4-b11c8625d853 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.841283Z
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 50e5d9d6-10b9-47a4-a023-6009c0cc7af1 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.845836Z
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 26f6295e-4369-44ba-8e82-497811281e17 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.847952Z
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 bffbc6e0-8968-4409-9a48-da1be832cdd9 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.850127Z
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 e5503bf6-5c29-4119-83c7-9506cfdcc9cc · outbound
This paper cites Feng and X.
Small gaps between consecutive zeros of the Riemann zeta-function Feng and X
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.839410Z
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 8b6066b8-2705-466c-b899-858e808e2b3c · outbound
This paper cites Fujii, On the distribution of the zeros of the Riemann zeta function in short intervals,Proc.
Small gaps between consecutive zeros of the Riemann zeta-function Fujii, On the distribution of the zeros of the Riemann zeta function in short intervals,Proc
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.829536Z
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 e53a2fdf-5453-4532-a72f-e3386e344f80 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.827292Z
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 23b796c6-f7cb-489a-9020-473604b65435 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.825534Z
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 8ae9872b-a201-498f-8a79-a4e61ace2b4f · outbound
This paper cites Explicit extreme values of the argument of the Riemann zeta-function.
Small gaps between consecutive zeros of the Riemann zeta-function Explicit extreme values of the argument of the Riemann zeta-function
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T00:25:51.043416Z
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 72123238-6b96-4d28-89d5-dfe150ae1c55 · outbound
This paper cites Iwaniec and E.
Small gaps between consecutive zeros of the Riemann zeta-function Iwaniec and E
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.831514Z
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 44f589ed-acec-4be9-b8a8-c318fc3b1db7 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.835507Z
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 45ea1db2-f9c7-4928-a173-cdc778a14533 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.855709Z
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 d43c2135-53dd-4675-b562-58fbdcf5fd95 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.857567Z
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 a81d947d-09b9-4a93-ad0a-a11370555dc1 · outbound
This paper cites Preobrazhenski˘ ı, A small improvement in the gaps between consecutive zeros of the Riemann zeta- function,Res.
Small gaps between consecutive zeros of the Riemann zeta-function Preobrazhenski˘ ı, A small improvement in the gaps between consecutive zeros of the Riemann zeta- function,Res
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.865518Z
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 b78c760f-5011-4250-beb0-08dcb8fa227b · outbound
This paper cites Soundararajan, Extreme values of zeta andL-functions,Math.
Small gaps between consecutive zeros of the Riemann zeta-function Soundararajan, Extreme values of zeta andL-functions,Math
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-16T18:38:16.859554Z
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 e6915558-624d-4af5-a683-d31ad393e537 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.861405Z
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 170b6e84-0813-4a58-a77d-c572d0dc5753 · outbound
This paper cites an unresolved cited work.
Small gaps between consecutive zeros of the Riemann zeta-function Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-16T18:38:16.863138Z
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.
Pith citing papers
No inbound Pith citation observations are available.