Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-07-08T23:20:51.537960Z
Paper Citation Record · LEDGER
Large Sets of Integers with No Harmonic Triples
As of 13 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 1 inbound Pith citation observation for arXiv:2607.05823.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T23:40:03.042207Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
10 of 10 outbound references displayed
- verified exact9
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 941b50cf-9615-4c80-996a-0ab5833ff3cd · outbound
This paper cites an unresolved cited work.
Large Sets of Integers with No Harmonic Triples Unresolved cited work
Reference 1
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:42.009843Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8271704c-2551-4319-8409-69106987f174 · outbound
This paper cites Breaking the logarithmic barrier in Roth's theorem on arithmetic progressions.
Large Sets of Integers with No Harmonic Triples Breaking the logarithmic barrier in Roth's theorem on arithmetic progressions
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-07-08T23:25:42.064838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 9ab37b18-2921-4fde-a042-21be96db06e1 · outbound
This paper cites An improvement to the Kelley-Meka bounds on three-term arithmetic progressions.
Large Sets of Integers with No Harmonic Triples An improvement to the Kelley-Meka bounds on three-term arithmetic progressions
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-07-08T23:25:42.062420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eb8129b1-9596-4ee6-8d54-ac1b4fa2b370 · outbound
This paper cites Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields.
Large Sets of Integers with No Harmonic Triples Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-07-08T23:25:42.059948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0981177a-7ddb-47c9-9da8-3237c5b3f727 · outbound
This paper cites Elkin,An improved construction of progression-free sets, Israel J.
Large Sets of Integers with No Harmonic Triples Elkin,An improved construction of progression-free sets, Israel J
Reference 5
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:42.001221Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 42f9ce07-bc78-4cad-80ce-af70af943364 · outbound
This paper cites Erdős and P.
Large Sets of Integers with No Harmonic Triples Erdős and P
Reference 6
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:41.998406Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c9e082ed-a9ce-4b27-92a2-b1a47db9eada · outbound
This paper cites Green and J.
Large Sets of Integers with No Harmonic Triples Green and J
Reference 7
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:41.991064Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e235a9f0-deb0-4e7b-acf1-25b6e5532c10 · outbound
This paper cites IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS) , pages =.
Large Sets of Integers with No Harmonic Triples IEEE 64th Annual Symposium on Foundations of Computer Science (FOCS) , pages =
Reference 8
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-08T23:25:42.005947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 79924a72-32f7-4857-92ae-6f17fffc8d86 · outbound
This paper cites an unresolved cited work.
Large Sets of Integers with No Harmonic Triples Unresolved cited work
Reference 9
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:41.996393Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8f5d4699-e11b-469d-a94f-326b3007e607 · outbound
This paper cites Salem and D.
Large Sets of Integers with No Harmonic Triples Salem and D
Reference 10
- Resolution
- verified exact
- doi, observed 2026-07-08T23:25:41.993830Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 1c907fcb-8fa1-4d91-b2c4-5e5f799183cb · inbound
Sets of unit fractions without two members whose average is a unit fraction cites this paper.
Sets of unit fractions without two members whose average is a unit fraction Large Sets of Integers with No Harmonic Triples
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T23:40:03.042207Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.