Paper Citation Record · LEDGER

The Piltz divisor Problem in Number Fields Using The Resonance Method

As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2506.22587.

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

pith.paper-citation-record.v1
2506.22587 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T22:24:58.891316Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy5
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 65101dc0-b8f6-4314-a597-e6e7fd024a35 · outbound

This paper cites Aistleitner, K.

The Piltz divisor Problem in Number Fields Using The Resonance Method Aistleitner, K

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:25:00.646583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbd2db02-13d3-4ef9-a289-dd662ffa2c23 · outbound

This paper cites Girstmair, and M.

The Piltz divisor Problem in Number Fields Using The Resonance Method Girstmair, and M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:25:00.514861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 69e636ed-8c06-4800-8977-c45d8593b8bf · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:25:00.383467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 33ea762b-48bb-41ea-baba-97b394da11ae · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:25:00.265730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 067b07b8-9d96-4727-9f49-ac3f3b51b839 · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:25:00.144492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f6e7be63-43c2-4cf8-92f3-ce839946ce69 · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:25:00.015860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a8b35e7a-5278-4068-82d1-bb7b2ccf896e · outbound

This paper cites An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem.

The Piltz divisor Problem in Number Fields Using The Resonance Method An improvement on Gauss's Circle Problem and Dirichlet's Divisor Problem

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-06T22:24:58.304687Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58d604a3-eb35-44c0-a44c-fb6245846155 · outbound

This paper cites Omega Results for The Divisor and Circle Problems Using The Resonance Method.

The Piltz divisor Problem in Number Fields Using The Resonance Method Omega Results for The Divisor and Circle Problems Using The Resonance Method

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T22:24:58.386690Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 97a91f33-a2e9-46cc-a763-41725b6235ba · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:24:59.872583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2679422e-5789-4d7a-ae84-bbfb45ba1492 · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:24:59.711356Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ced58046-2b69-410b-8e16-f92926501ecb · outbound

This paper cites Soundararajan, Omega results for the divisor and circle problems, Int.

The Piltz divisor Problem in Number Fields Using The Resonance Method Soundararajan, Omega results for the divisor and circle problems, Int

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T22:24:58.584790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fa383a18-d71d-48a5-bbcf-f720a9765986 · outbound

This paper cites Szeg¨ o and A.

The Piltz divisor Problem in Number Fields Using The Resonance Method Szeg¨ o and A

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:24:59.566505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ff6f0a3b-c273-47e2-8bc3-bb56ddb0330b · outbound

This paper cites Szeg¨ o and A.

The Piltz divisor Problem in Number Fields Using The Resonance Method Szeg¨ o and A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:24:59.433662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 520b7052-73aa-46af-a6e1-16c58291fecc · outbound

This paper cites Takeda, Uniform bounds of the Piltz divisor problem over number fields, Pacific J.

The Piltz divisor Problem in Number Fields Using The Resonance Method Takeda, Uniform bounds of the Piltz divisor problem over number fields, Pacific J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T22:24:59.272937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a6baab0d-4f6b-4dfd-9c17-879045bd5051 · outbound

This paper cites an unresolved cited work.

The Piltz divisor Problem in Number Fields Using The Resonance Method Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T22:24:59.111524Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.