Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:51:54.161593Z
Paper Citation Record · LEDGER
The Eighth Power Moments of $\Delta(x)$
As of 12 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.19528.
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 2026-08-12T06:34:41.77262+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
18 of 18 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4a1f8a6a-873f-41eb-89f8-124cf948dac7 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.699069Z
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.
Observation 1bb2b58d-c8b0-40cb-82bf-ba1d8f3a79f8 · outbound
This paper cites Exponential sums and Lattice points III[M].
The Eighth Power Moments of $\Delta(x)$ Exponential sums and Lattice points III[M]
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.669315Z
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.
Observation c35edd7f-8a41-4a08-9e08-a6c78277fe38 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.640088Z
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.
Observation d6eee1ad-29c3-45ce-8709-df6e85b54f28 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.620325Z
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.
Observation 78d9f0c7-b7f3-47cf-ae5f-78a93e0d226f · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.596787Z
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.
Observation 40cb6033-3eac-4b11-bae3-52294e4d3588 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.568718Z
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.
Observation 99308ab4-c496-49a3-af26-0364740f6c07 · outbound
This paper cites Ivi´ c and P.
The Eighth Power Moments of $\Delta(x)$ Ivi´ c and P
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.540871Z
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.
Observation 6c439236-d03f-4909-9f5a-5e41b4ec8585 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.520963Z
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.
Observation f7358ded-fcc3-4f6b-b217-2856cf24596d · outbound
This paper cites Robert and P.
The Eighth Power Moments of $\Delta(x)$ Robert and P
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.487270Z
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.
Observation 16de9bea-763b-4b46-acb9-e7534b2d8ab4 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.459068Z
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.
Observation 7480a5be-f8af-4b0a-b0f6-18847bb82580 · outbound
This paper cites On fifth-power moment of ∆(x)[J].
The Eighth Power Moments of $\Delta(x)$ On fifth-power moment of ∆(x)[J]
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.436099Z
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.
Observation 41e78059-7fc7-4d3e-9533-b79b8d0af6c2 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.414426Z
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.
Observation f38b2063-c4e6-46f9-9202-59a716ccf747 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.385609Z
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.
Observation a4c2c675-7e80-4c40-b1c5-a8519534fc2e · outbound
This paper cites Ann.´Ecole.
The Eighth Power Moments of $\Delta(x)$ Ann.´Ecole
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.353635Z
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.
Observation 1a740d4f-2eec-494f-b0d8-08d8d56c79f7 · outbound
This paper cites Mean square of zeta function, circle problem and divisor problem revisited.
The Eighth Power Moments of $\Delta(x)$ Mean square of zeta function, circle problem and divisor problem revisited
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:51:54.137474Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06f67192-bd06-4800-b99d-d871d1731a79 · outbound
This paper cites On the order of ζ(1/2 + it) and ∆( R)[J].Pacific Journal of Mathematics,1982,98:107-122.
The Eighth Power Moments of $\Delta(x)$ On the order of ζ(1/2 + it) and ∆( R)[J].Pacific Journal of Mathematics,1982,98:107-122
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.320449Z
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.
Observation 8303e45e-1ab1-4540-9b69-518acaaac7d8 · outbound
This paper cites an unresolved cited work.
The Eighth Power Moments of $\Delta(x)$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:51:54.292380Z
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.
Observation 06abc935-6405-4788-b3a1-682cf4ee6f45 · outbound
This paper cites Zum Teilerproblem[J].
The Eighth Power Moments of $\Delta(x)$ Zum Teilerproblem[J]
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:51:54.263029Z
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.
Pith citing papers
No inbound Pith citation observations are available.