Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:24:58.891316Z
Paper Citation Record · LEDGER
The Piltz divisor Problem in Number Fields Using The Resonance Method
As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.22587.
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 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-16T10:57:42.795896Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-16T10:57:42.879546Z
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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+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 2026-08-23T06:30:58.430688+00:00.
Pith citing papers
Observation e366bc35-a788-456f-888e-8de5928a57c1 · inbound
Omega Results for The Divisor and Circle Problems Using The Resonance Method cites this paper.
Omega Results for The Divisor and Circle Problems Using The Resonance Method The Piltz divisor Problem in Number Fields Using The Resonance Method
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-16T10:57:42.886575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.