Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:25.028452Z
Paper Citation Record · LEDGER
As of 17 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2505.01034.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:43:25.028452Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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
53 of 53 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3b14d44c-8450-4dad-a751-e554bda162ff · outbound
Ramsey with purple edges Ajtai, J
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 385f2665-8292-4386-a0f5-b2bfc8b7b580 · outbound
Ramsey with purple edges Anastos, S
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a1288f89-b41d-4ecf-a20e-02ead3f90e2a · outbound
Ramsey with purple edges Andr´ asfai
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 944d76a8-68ac-4bd9-af41-29fc2b26d948 · outbound
Ramsey with purple edges Unresolved cited work
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 06a47eec-a3be-4911-b402-ac87f7476307 · outbound
Ramsey with purple edges Balogh, P
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d8b5feb4-4073-4371-aba4-97078753db6c · outbound
Ramsey with purple edges Balogh, C
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 1d772236-bb6f-4e3e-9a4c-ec082cc283cd · outbound
Ramsey with purple edges Unresolved cited work
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30725a7c-638d-466e-a53e-82341f707db5 · outbound
Ramsey with purple edges Bohman and P
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8d8a8cfe-181b-44cb-82c8-488898e0f6c0 · outbound
Ramsey with purple edges Bollob´ as and P
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7c33b547-b435-405f-9bb8-48972b0de670 · outbound
Ramsey with purple edges Bollob´ as and O
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4b1e2be0-862e-4624-b163-0a6a6dea5712 · outbound
Ramsey with purple edges Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2ad37ad0-b93a-4120-b515-b01e9d60a78d · outbound
Ramsey with purple edges An exponential improvement for diagonal Ramsey
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 98f44aa3-858b-4ac3-8d3a-852e300d08ae · outbound
Ramsey with purple edges Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ab70452-11de-4a81-abc1-b62729967653 · outbound
Ramsey with purple edges Unresolved cited work
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 69d963d2-c73a-4bf0-b119-7c42ed0998dd · outbound
Ramsey with purple edges Erd˝ os and V
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 16c3dbf9-2d79-4b8c-91f5-c60e6a712c89 · outbound
Ramsey with purple edges Erd˝ os and G
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6df700ec-7a2b-4cc4-b691-4d99a3e87191 · outbound
Ramsey with purple edges Erd˝ os and A
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8dd009e4-c172-47be-ab07-4d8599ada55f · outbound
Ramsey with purple edges Erd˝ os, A
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ebe16f9-7fa0-4cee-8772-df489a92e888 · outbound
Ramsey with purple edges Erd˝ os, A
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0c44179a-cf4f-4d92-9184-9bddd80ad079 · outbound
Ramsey with purple edges Erd˝ os, A
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 63aebf71-5c59-43ca-a727-f586d4382ca6 · outbound
Ramsey with purple edges Erd˝ os, A
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a72be2a7-313f-4cf9-8c33-b3b7751766be · outbound
Ramsey with purple edges Erd˝ os, A
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8d102fac-6cd4-4960-8d78-c8f14ff5a1b2 · outbound
Ramsey with purple edges Erd˝ os, A
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0c7c73f4-971c-4208-872a-e418b7c71c75 · outbound
Ramsey with purple edges Fiz Pontiveros, S
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7e403c57-97d1-40b1-a350-72589692610a · outbound
Ramsey with purple edges Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 03d57ad9-90fb-447e-8200-d325ff2ec7f4 · outbound
Ramsey with purple edges Gauthier and C.E
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3f69d8c9-faf2-4e95-bec8-34b494d44dc0 · outbound
Ramsey with purple edges Optimizing the CGMS upper bound on Ramsey numbers
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d5be029-a463-4629-ba16-a4dd9e06fd10 · outbound
Ramsey with purple edges Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 08608306-bbbc-436b-8cfe-359580976e15 · outbound
Ramsey with purple edges Unresolved cited work
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 54876308-6342-4e22-b26a-4368c74d575e · outbound
Ramsey with purple edges /suppress Luczak, J
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f2e3fa24-458d-41bd-9aee-7ed3c7048c67 · outbound
Ramsey with purple edges /suppress Luczak, J
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 627b3d32-0ee4-4362-b750-839fdc94bcf3 · outbound
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2df1c9f5-b61c-45bc-aa07-1d81f5efb1a0 · outbound
Ramsey with purple edges /suppress Luczak, J
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 06ec4db6-d887-48ff-a187-02e56864306b · outbound
Ramsey with purple edges Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ef75a80-a329-4188-a2ec-bbcf43128181 · outbound
Ramsey with purple edges Mattheus and J
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation eb39fe51-a799-4de8-88d1-4b216ad8b6bf · outbound
Ramsey with purple edges Unresolved cited work
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation b0251113-c4bb-4d02-9091-2ab51667f59e · outbound
Ramsey with purple edges Unresolved cited work
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7376a46b-0111-429d-81a9-a28305fecfb6 · outbound
Ramsey with purple edges Unresolved cited work
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4ae011e1-e7d8-4c3f-9669-dabc42dea412 · outbound
Ramsey with purple edges Unresolved cited work
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 3c35d3a0-e111-4474-bbf2-37554986ebe4 · outbound
Ramsey with purple edges Unresolved cited work
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2fe47a4c-4a7b-4f19-aed2-33ac0b35b0d8 · outbound
Ramsey with purple edges Unresolved cited work
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c9b180b9-2db0-4496-83c6-297fdfa571ba · outbound
Ramsey with purple edges Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 383e8f74-e1e4-4de0-ac68-be920c2859d6 · outbound
Ramsey with purple edges Unresolved cited work
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2f6a68a3-d878-4138-bb6f-d5d3d2fc528b · outbound
Ramsey with purple edges Unresolved cited work
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 393c03b0-c89f-46f8-8f71-640d64e77480 · outbound
Ramsey with purple edges Simonovits and V
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e1ca2494-14ca-43d2-b806-d708a8ab61b7 · outbound
Ramsey with purple edges Unresolved cited work
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation e9631466-ce4b-4a96-a3dc-0b6d2699a984 · outbound
Ramsey with purple edges Unresolved cited work
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cb7e848f-cc8e-4329-b7cc-326dc3bfe7fc · outbound
Ramsey with purple edges Unresolved cited work
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 4c6f16a8-0423-41eb-a87f-10aee7c869a3 · outbound
Ramsey with purple edges Szemer´ edi
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 52941e9f-5d53-4b76-bcf0-d3f8a2b3cf47 · outbound
Ramsey with purple edges SageMath, the Sage Mathematics Software System (Version 9
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation fd688d4d-cec8-4a56-abfc-e81bb6283ec7 · outbound
Ramsey with purple edges Thomason
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 7991687b-9b76-4d37-b026-0dab749bd4ba · outbound
Ramsey with purple edges Unresolved cited work
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f0a6cb9d-8cbb-4e90-a2ca-c84451dbc798 · outbound
Ramsey with purple edges Algorithm 1 below takes as input a Ramsey(s, t)-graph G, and outputs the largest k such that a matching of size k in G can be deleted without creating an independent set of size t
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
No inbound Pith citation observations are available.