Paper Citation Record · LEDGER

The Eighth Power Moments of $\Delta(x)$

As of 11 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.

pith.paper-citation-record.v1
2507.19528 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:51:54.161593Z

measured 18 of 18 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

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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+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 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.