Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-08T02:48:42.816568Z
Paper Citation Record · LEDGER
A double-exponential lower bound for $r_4(5,n)$
As of 4 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 5 inbound Pith citation observations for arXiv:2604.23986.
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 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-02T07:37:47.892445Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-04T16:59:57.789558Z
Reference resolution
30 of 30 outbound references displayed
- verified exact9
- verified fuzzy15
- unresolved6
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 5b5c2e2f-c031-4f8f-831b-32dcf97ee167 · outbound
This paper cites Ajtai, J.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:43:11.657108Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 03b878e9-56ed-4a20-9a51-30a562687d90 · outbound
This paper cites Ajtai, J.
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:43:11.662191Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 07a17a29-89aa-4381-8f89-47576629c1e1 · outbound
This paper cites Bohman and P.
A double-exponential lower bound for $r_4(5,n)$ Bohman and P
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:43:11.653133Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a436303d-a289-463a-895e-b151e87a0feb · outbound
This paper cites Campos, S.
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.274948Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3acc1611-6a19-444f-96bb-e6ab092d9e28 · outbound
This paper cites A new lower bound for the Ramsey numbers $R(3,k)$.
A double-exponential lower bound for $r_4(5,n)$ A new lower bound for the Ramsey numbers $R(3,k)$
Reference 5
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.548836Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b502efb3-874d-4609-ad9d-ab800fe09b98 · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:48:10.253676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 028d7488-b0c6-4186-bd3b-6d65162ff923 · outbound
This paper cites Conlon, J.
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.271308Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9112aeed-7e16-4145-8865-6000f7544239 · outbound
This paper cites Conlon, J.
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.258401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d97425a7-d5fe-4780-976d-4f37b5d04741 · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.567996Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2654ab7e-8728-4409-9564-29a44c5b2fd4 · outbound
This paper cites A Note on Generalized Erd\H{o}s-Rogers Problems.
A double-exponential lower bound for $r_4(5,n)$ A Note on Generalized Erd\H{o}s-Rogers Problems
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T22:26:13.593479Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4c8d8a35-5e9d-4a67-818a-ecf578c8e9be · outbound
This paper cites Erdős and A.
A double-exponential lower bound for $r_4(5,n)$ Erdős and A
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.249597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ffc2230b-c7db-4a4a-b732-9578976c1520 · outbound
This paper cites Erdős and H.
A double-exponential lower bound for $r_4(5,n)$ Erdős and H
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.239622Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0a14c6ad-9d02-430d-a9c3-75de76a8ea73 · outbound
This paper cites Erdős and R.
A double-exponential lower bound for $r_4(5,n)$ Erdős and R
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.224997Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation bc347835-ceb4-4a21-96f4-cca4b6bb32b4 · outbound
This paper cites Erdős and G.
A double-exponential lower bound for $r_4(5,n)$ Erdős and G
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.262506Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cb7f8520-647e-4d31-80e3-6cb679681006 · outbound
This paper cites New bounds of two hypergraph Ramsey problems.
A double-exponential lower bound for $r_4(5,n)$ New bounds of two hypergraph Ramsey problems
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.606659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c2d05e68-8049-4ed4-8815-6096ce31fd7b · outbound
This paper cites Fiz Pontiveros, S.
A double-exponential lower bound for $r_4(5,n)$ Fiz Pontiveros, S
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.230376Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 89efb71b-85ea-4ab6-97e6-8b4e2cb68d0c · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:48:10.214073Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fe2d1a1d-4711-4b71-9a5b-133e65ebb83d · outbound
This paper cites Optimizing the CGMS upper bound on Ramsey numbers.
A double-exponential lower bound for $r_4(5,n)$ Optimizing the CGMS upper bound on Ramsey numbers
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.586927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3065ac5c-9cfc-4c6c-93eb-289665f7cf8b · outbound
This paper cites Hefty, P.
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.575659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b2500110-bac7-477f-b726-4d74df1b40d2 · outbound
This paper cites Phase transitions of the Erd\H{o}s-Gy\'{a}rf\'{a}s function.
A double-exponential lower bound for $r_4(5,n)$ Phase transitions of the Erd\H{o}s-Gy\'{a}rf\'{a}s function
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T22:26:13.598355Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 7cd733f8-2e15-41c0-bb83-777a4cfcef02 · outbound
This paper cites Gaussian random graphs and Ramsey numbers.
A double-exponential lower bound for $r_4(5,n)$ Gaussian random graphs and Ramsey numbers
Reference 21
- Resolution
- verified exact
- arxiv_id, observed 2026-05-20T00:05:39.405759Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 8d2c4c20-0b5d-4def-87aa-3ea9f32863b3 · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:48:10.266984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5992c299-c1ac-432d-ab87-c2e3d564fd6c · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:43:11.674959Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation a083266b-d33c-4743-b995-5347e7d90f5e · outbound
This paper cites An exponential improvement for Ramsey lower bounds.
A double-exponential lower bound for $r_4(5,n)$ An exponential improvement for Ramsey lower bounds
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T22:26:13.560049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3c84665f-8893-4788-9445-9d7e89997776 · outbound
This paper cites Mattheus and J.
A double-exponential lower bound for $r_4(5,n)$ Mattheus and J
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:43:11.678091Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9e5640ee-b5dd-4a42-8b07-bef24084f5f3 · outbound
This paper cites Mubayi and A.
A double-exponential lower bound for $r_4(5,n)$ Mubayi and A
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.244789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 52dddceb-18ac-46cf-9580-d2e652a03183 · outbound
This paper cites Mubayi and A.
A double-exponential lower bound for $r_4(5,n)$ Mubayi and A
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:48:10.235574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2c326a9e-8ea5-43d2-857e-95513973e893 · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:43:11.669411Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation bb43f93b-cf9c-4477-96a7-9f060d3727a4 · outbound
This paper cites an unresolved cited work.
A double-exponential lower bound for $r_4(5,n)$ Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-05-26T22:43:11.672255Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 089e3ff7-4183-4dd2-833b-e7a1e47d3b05 · outbound
This paper cites Spencer, Asymptotic lower bounds for Ramsey functions,Discrete Math.20 (1977), 69–76.
A double-exponential lower bound for $r_4(5,n)$ Spencer, Asymptotic lower bounds for Ramsey functions,Discrete Math.20 (1977), 69–76
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-26T22:43:11.666359Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Pith citing papers
Observation 79e9e114-5f3e-46b9-a1d6-7eb411a95310 · inbound
An improved double-exponential lower bound for $r_4(5,n)$ cites this paper.
An improved double-exponential lower bound for $r_4(5,n)$ A double-exponential lower bound for $r_4(5,n)$
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-05-09T06:40:39.855570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation fdc51af5-0faf-4f6d-96d7-edcc6c2466cd · inbound
An improved double-exponential lower bound for $r_4(5,n)$ cites this paper.
An improved double-exponential lower bound for $r_4(5,n)$ A double-exponential lower bound for $r_4(5,n)$
Reference 10
- Resolution
- verified exact
- local_arxiv, observed 2026-05-12T03:16:19.223820Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 69b183ba-9a73-4466-8825-59bf6c5e9af2 · inbound
New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers cites this paper.
New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers A double-exponential lower bound for $r_4(5,n)$
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-07-04T16:59:57.791264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3dca768e-730d-49d8-8a16-c65754e4f432 · inbound
Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes cites this paper.
Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes A double-exponential lower bound for $r_4(5,n)$
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-07-14T14:13:26.591026Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba585a72-94e6-4855-8d02-a41b26a708ac · inbound
Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes cites this paper.
Hypergraph Erd\H{o}s--Rogers functions with consecutive clique sizes A double-exponential lower bound for $r_4(5,n)$
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-02T07:37:47.892445Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.