Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-01T15:54:48.275139Z
Paper Citation Record · LEDGER
Improved Bounds for Distinct Multiples in Intervals
As of 11 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2607.26450.
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
16 of 16 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8cb891cc-ecb0-4dec-b46f-522b06119276 · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.326526Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c4e2c178-a23a-4c59-8819-0bcf0d08e70e · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.410647Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1a92187a-e807-4f88-ad54-13e5df62874a · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.562336Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 197b7dbe-8439-4432-bb11-e2d08c15c627 · outbound
This paper cites Erdős, Some of my forgotten problems in number theory,Hardy-Ramanujan J.15 (1992), 34–50.
Improved Bounds for Distinct Multiples in Intervals Erdős, Some of my forgotten problems in number theory,Hardy-Ramanujan J.15 (1992), 34–50
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.699152Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c63a1f86-0004-4e06-905a-144ec8c97938 · outbound
This paper cites Erdős and C.
Improved Bounds for Distinct Multiples in Intervals Erdős and C
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.793461Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c7dbfcff-97ae-4762-8376-3f33ab0123b3 · outbound
This paper cites Green and I.
Improved Bounds for Distinct Multiples in Intervals Green and I
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.811377Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 444e8b9e-9f1e-4744-ab38-fd76894fd952 · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.854535Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11efc9b5-3cc6-4bbe-b291-9b3c211d0932 · outbound
This paper cites Hadamard, Sur la distribution des zéros de la fonctionζ(s)et ses conséquences arithmétiques,Bulletin de la Société Mathématique de France24(1896), 199–220.
Improved Bounds for Distinct Multiples in Intervals Hadamard, Sur la distribution des zéros de la fonctionζ(s)et ses conséquences arithmétiques,Bulletin de la Société Mathématique de France24(1896), 199–220
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.896077Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1645a298-c370-45fc-835e-9965cd806f0d · outbound
This paper cites Hall, On representatives of subsets,Journal of the London Mathematical Society s1-10(1935), no.
Improved Bounds for Distinct Multiples in Intervals Hall, On representatives of subsets,Journal of the London Mathematical Society s1-10(1935), no
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.929959Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55c617a8-08db-49a7-bb46-f023dc3da9fb · outbound
This paper cites Ireland and M.
Improved Bounds for Distinct Multiples in Intervals Ireland and M
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:47.970069Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 36a994b6-ec87-4dce-88e7-d48b2f6f60c2 · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.020284Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 45fdbf2b-300d-47f4-9db9-09561d330baf · outbound
This paper cites Long Intervals Without Distinct Multiples of the First $n$ Positive Integers.
Improved Bounds for Distinct Multiples in Intervals Long Intervals Without Distinct Multiples of the First $n$ Positive Integers
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.081878Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8e92fb55-5684-444a-8597-6301ad087fa4 · outbound
This paper cites Mertens, Ein Beitrag zur analytischen Zahlentheorie,Journal für die reine und angewandte Mathematik78(1874), 46–62.
Improved Bounds for Distinct Multiples in Intervals Mertens, Ein Beitrag zur analytischen Zahlentheorie,Journal für die reine und angewandte Mathematik78(1874), 46–62
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.139849Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0729fd1f-55f8-4f7e-afea-1a7acae9bd7f · outbound
This paper cites an unresolved cited work.
Improved Bounds for Distinct Multiples in Intervals Unresolved cited work
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.190475Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 057d3d78-003a-4ccc-98e5-707b7ca9d7c7 · outbound
This paper cites de la Vallée Poussin, Recherches analytiques sur la théorie des nombres premiers, Annales de la Société Scientifique de Bruxelles20(1896), 183–256.
Improved Bounds for Distinct Multiples in Intervals de la Vallée Poussin, Recherches analytiques sur la théorie des nombres premiers, Annales de la Société Scientifique de Bruxelles20(1896), 183–256
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.221465Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cca4a402-3633-4353-8661-a4fe0d65d308 · outbound
This paper cites van Doorn, On the length of an interval that contains distinct multiples of the firstnpositive integers, arXiv:2601.16972, 2026.
Improved Bounds for Distinct Multiples in Intervals van Doorn, On the length of an interval that contains distinct multiples of the firstnpositive integers, arXiv:2601.16972, 2026
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:54:48.275139Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.