Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T19:44:57.019830Z
Paper Citation Record · LEDGER
An improved construction for the triangle removal lemma
As of 20 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.05231.
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 2026-08-20T06:33:59.587034+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
18 of 18 outbound references displayed
- verified exact1
- verified fuzzy11
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation c361738e-eec6-40b7-9fa5-0d5e6c2b1122 · outbound
This paper cites an unresolved cited work.
An improved construction for the triangle removal lemma Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:45:00.571931Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 5c19ec8d-2550-413a-87a9-13aec6910150 · outbound
This paper cites Bourgain, On the Dimension of Kakeya Sets and Related Maximal Inequalities, in Geometric and Functional Analysis 9 (1999), p.
An improved construction for the triangle removal lemma Bourgain, On the Dimension of Kakeya Sets and Related Maximal Inequalities, in Geometric and Functional Analysis 9 (1999), p
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:45:00.402610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation a12cb103-ccde-43ef-9064-3ba5220fa335 · outbound
This paper cites Christandl, O.
An improved construction for the triangle removal lemma Christandl, O
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:45:00.219520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation af8dc631-2eb0-4d40-b496-81e2829ff1a3 · outbound
This paper cites Elkin, An improved construction of progression-free sets, in SODA 10’ (2010), p.
An improved construction for the triangle removal lemma Elkin, An improved construction of progression-free sets, in SODA 10’ (2010), p
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:45:00.045905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation ea78a1fd-212c-42d4-83db-bbb41e5a6bc5 · outbound
This paper cites Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields.
An improved construction for the triangle removal lemma Improving Behrend's construction: Sets without arithmetic progressions in integers and over finite fields
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:44:56.014525Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2200c827-a139-42dc-b8e3-9844eef479cf · outbound
This paper cites Fischer, E.
An improved construction for the triangle removal lemma Fischer, E
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:59.868831Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 95c69510-0fab-4e58-b00b-e6a8e2814220 · outbound
This paper cites Fox, A new proof of the graph removal lemma, in Annals of Mathematics 174 (2011), p.
An improved construction for the triangle removal lemma Fox, A new proof of the graph removal lemma, in Annals of Mathematics 174 (2011), p
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:59.734876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 21bf6ac5-5240-47a8-8142-f4860ea33c31 · outbound
This paper cites an unresolved cited work.
An improved construction for the triangle removal lemma Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:44:59.559555Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 1ab0186b-7890-4d4e-bbf2-a8c47664ac9f · outbound
This paper cites an unresolved cited work.
An improved construction for the triangle removal lemma Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:44:59.320651Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation dfbb7030-1d06-4933-897a-f932f471e9b0 · outbound
This paper cites an unresolved cited work.
An improved construction for the triangle removal lemma Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T19:44:59.077725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 6f054f2f-ac8a-4010-8dfd-435af8cffd4c · outbound
This paper cites Quasipolynomial bounds for the corners theorem.
An improved construction for the triangle removal lemma Quasipolynomial bounds for the corners theorem
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:44:56.493320Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 11840321-2887-45f7-9ef4-351dcfbfa118 · outbound
This paper cites Kelley and R.
An improved construction for the triangle removal lemma Kelley and R
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:58.780737Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 4d058c69-11d6-4dd4-bc62-cfbec07a581a · outbound
This paper cites Kleinberg, D.
An improved construction for the triangle removal lemma Kleinberg, D
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:58.493457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 54adfb69-576d-49d8-bf60-201b47ee62d9 · outbound
This paper cites Linial and A.
An improved construction for the triangle removal lemma Linial and A
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:58.266095Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 419b6983-f224-4150-a444-80589454fa2b · outbound
This paper cites Scalar product of random unit vectors.
An improved construction for the triangle removal lemma Scalar product of random unit vectors
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:57.994822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation f521388d-4cb4-478e-b707-9b82f540003b · outbound
This paper cites A note on Ordered Ruzsa-Szemer\'edi graphs.
An improved construction for the triangle removal lemma A note on Ordered Ruzsa-Szemer\'edi graphs
Reference 16
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T19:44:57.274756Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation 06e155a2-fe17-4916-98d1-c13802ac2928 · outbound
This paper cites Ruzsa, Arithmetical progressions and the number of sums, in Periodica Mathematica Hungarica 25 (1992), p.
An improved construction for the triangle removal lemma Ruzsa, Arithmetical progressions and the number of sums, in Periodica Mathematica Hungarica 25 (1992), p
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:57.779447Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Observation fa537497-92bc-4e9b-a4eb-e2d4ddab5129 · outbound
This paper cites Tao and V.
An improved construction for the triangle removal lemma Tao and V
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T19:44:57.529232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.
Pith citing papers
No inbound Pith citation observations are available.