Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T21:13:49.794418Z
Paper Citation Record · LEDGER
Erd\H{o}s's integer dilation approximation problem and GCD graphs
As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 1 inbound Pith citation observation for arXiv:2502.09539.
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, observed 2026-05-09T19:34:21.706883Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T15:36:09.099006Z
Reference resolution
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy17
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 008607ce-2a72-491e-abc8-d8e88e6f2e14 · outbound
This paper cites Ahlswede, L.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Ahlswede, L
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.276240Z
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 fb8b1ad7-ad2c-41ac-895d-c5c275b033fc · outbound
This paper cites Behrend, On sequences of numbers not divisible by another.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Behrend, On sequences of numbers not divisible by another
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.251951Z
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 5b8ac24f-f8fd-420a-941c-b3659d490735 · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:50.232481Z
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 5672c6e0-4ca1-4489-bd1a-1e56f2664f94 · outbound
This paper cites Erd˝ os,Note on sequences of integers no one of which is divisible by a ny other.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Erd˝ os,Note on sequences of integers no one of which is divisible by a ny other
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.216439Z
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 5778ccce-574d-43da-93e1-725190543217 · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:50.197050Z
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 ad4c8fa2-1d15-4057-bae1-f5e7ac97653f · outbound
This paper cites Magyar Tud.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Magyar Tud
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.179807Z
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 5345585d-6264-434d-977e-ea70a7815e1b · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:50.163400Z
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 23cde636-859e-4502-8498-7f7089b80477 · outbound
This paper cites A survey of combinatorial theory (Proc.
Erd\H{o}s's integer dilation approximation problem and GCD graphs A survey of combinatorial theory (Proc
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.147842Z
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 297332dc-d760-441a-96ef-b7b288f5f61b · outbound
This paper cites Lecture Notes in Math., 475 , pp.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Lecture Notes in Math., 475 , pp
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.131788Z
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 df0c0d9d-e6bc-4347-9e54-b2b521bdc05c · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:50.113492Z
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 1cd0ffb9-8a5a-40c6-ab58-0dc91bf1dc5d · outbound
This paper cites Discrete Mathematics 6 (1980), 89–115.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Discrete Mathematics 6 (1980), 89–115
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.098986Z
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 c0064a2f-a412-4d76-a442-beb79175d11c · outbound
This paper cites Hardy-Ramanujan J.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Hardy-Ramanujan J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.080505Z
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 e07b7751-a224-4e12-baca-1c37d2500f66 · outbound
This paper cites The mathematics of Paul Erd˝ os, I, 47–67.
Erd\H{o}s's integer dilation approximation problem and GCD graphs The mathematics of Paul Erd˝ os, I, 47–67
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.058872Z
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 60e71394-cf33-48fb-b8ac-2afb0abc0cfb · outbound
This paper cites Erd˝ os and A.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Erd˝ os and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.038715Z
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 7073709d-26a7-4af4-9010-e7c01682ddc2 · outbound
This paper cites Erd˝ os, A.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Erd˝ os, A
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.022469Z
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 fea6608c-6db0-46fd-9b9c-ceeee9209bc7 · outbound
This paper cites Green and A.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Green and A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:50.001572Z
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 8b75ff3f-5f43-4e48-af01-7cb1856d6aa6 · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:49.983780Z
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 74123f88-545a-48eb-aa62-09079a1d1bf7 · outbound
This paper cites Harman, Metric number theory.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Harman, Metric number theory
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:49.968244Z
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 468035d2-aad6-409a-9e9c-e3bb6ba089bd · outbound
This paper cites Proving the Duffin-Schaeffer conjecture without GCD graphs.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Proving the Duffin-Schaeffer conjecture without GCD graphs
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T21:13:49.851454Z
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 78e686c6-a579-46cf-aee6-1ce0c7a9e470 · outbound
This paper cites Koukoulopoulos, The distribution of prime numbers.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Koukoulopoulos, The distribution of prime numbers
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:49.951396Z
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 8ed48704-8ef1-497a-94db-4dc06a934d85 · outbound
This paper cites Koukoulopoulos and J.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Koukoulopoulos and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:49.934891Z
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 754edf28-96f0-454d-801f-59a4bd0e57ac · outbound
This paper cites Koukoulopoulos, J.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Koukoulopoulos, J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:49.917223Z
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 daf9da9b-55d8-49ce-acfc-cefb6eb01ee7 · outbound
This paper cites an unresolved cited work.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T21:13:49.898941Z
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 8af88641-b327-428f-b322-1f3c19f56cdf · outbound
This paper cites Sperner, Ein Satz ¨uber Untermengen einer endlichen Menge , Math.
Erd\H{o}s's integer dilation approximation problem and GCD graphs Sperner, Ein Satz ¨uber Untermengen einer endlichen Menge , Math
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T21:13:49.877783Z
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
Observation d777bdd3-7abb-4d4a-ba65-8c651fcde5d4 · inbound
Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond cites this paper.
Primitive sets and von Mangoldt chains: Erd\H{o}s Problem #1196 and beyond Erd\H{o}s's integer dilation approximation problem and GCD graphs
Reference 28
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T15:36:09.102103Z
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.