Paper Citation Record · LEDGER

A new lower bound for the Ramsey numbers $R(3,k)$

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 21 inbound Pith citation observations for arXiv:2505.13371.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2505.13371 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 21 of 21 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:15:09.524821Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T16:59:57.749704Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 199e48f3-f793-4be5-b2ba-0e69db9fa36a · inbound

Size-Ramsey numbers of tight paths cites this paper.

Size-Ramsey numbers of tight paths A new lower bound for the Ramsey numbers $R(3,k)$

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T21:15:09.524821Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 356ec5a9-1a4a-479f-9b10-98325d2b8b76 · inbound

Off-Diagonal Ramsey Numbers for Linear Hypergraphs cites this paper.

Off-Diagonal Ramsey Numbers for Linear Hypergraphs A new lower bound for the Ramsey numbers $R(3,k)$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-06T19:37:07.523280Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87ac533f-9f6b-4c1f-a885-c23c5e255071 · inbound

An exponential improvement for Ramsey lower bounds cites this paper.

An exponential improvement for Ramsey lower bounds A new lower bound for the Ramsey numbers $R(3,k)$

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-19T05:02:05.140675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 05cefbcb-dc74-4805-b2db-d79ac0e45423 · inbound

On a Ramsey--Tur\'{a}n variant of Roth's theorem cites this paper.

On a Ramsey--Tur\'{a}n variant of Roth's theorem A new lower bound for the Ramsey numbers $R(3,k)$

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-06T11:54:42.955969Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c85a9e2-7386-4a84-87a7-061e838a8f42 · inbound

A polynomial improvement for the odd cycle-complete Ramsey numbers cites this paper.

A polynomial improvement for the odd cycle-complete Ramsey numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-17T22:10:22.225372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b676d499-00e4-4f84-8f0a-dc109f91517e · inbound

Gaussian random graphs and Ramsey numbers cites this paper.

Gaussian random graphs and Ramsey numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-21T16:54:16.327013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 06b5388b-ac65-4bde-9812-929a31fc5478 · inbound

A linear upper bound for zero-sum Ramsey numbers of bounded degree graphs cites this paper.

A linear upper bound for zero-sum Ramsey numbers of bounded degree graphs A new lower bound for the Ramsey numbers $R(3,k)$

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-16T20:43:24.770126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 64e5b1ae-4a2d-4c2a-aea7-59a6487a5bcd · inbound

A Note on Generalized Erd\H{o}s-Rogers Problems cites this paper.

A Note on Generalized Erd\H{o}s-Rogers Problems A new lower bound for the Ramsey numbers $R(3,k)$

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-05-13T19:08:09.659616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3acc1611-6a19-444f-96bb-e6ab092d9e28 · inbound

A double-exponential lower bound for $r_4(5,n)$ cites this paper.

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 2026-08-12T06:34:41.77262+00:00.

Observation 54cb83a6-3483-4181-b5fb-2f5698b0776d · 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 new lower bound for the Ramsey numbers $R(3,k)$

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:40:39.871827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0ab27d84-6ea7-41bd-a2d9-e676d6cbc9d8 · 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 new lower bound for the Ramsey numbers $R(3,k)$

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-12T03:16:19.234770Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f51fec65-c75f-478c-9191-ae02bb1ddaaa · inbound

Induced/Incomparable versus Ramsey cites this paper.

Induced/Incomparable versus Ramsey A new lower bound for the Ramsey numbers $R(3,k)$

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-05-22T04:56:05.235993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a37d8e9b-a270-466f-a1fa-9811d8e6e748 · inbound

Induced/Incomparable versus Ramsey cites this paper.

Induced/Incomparable versus Ramsey A new lower bound for the Ramsey numbers $R(3,k)$

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-30T17:04:57.621955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f3eac1da-6d95-486f-a5df-7676c5b2f109 · inbound

Sharper Ramsey lower bounds from refined Gaussian estimates cites this paper.

Sharper Ramsey lower bounds from refined Gaussian estimates A new lower bound for the Ramsey numbers $R(3,k)$

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-06-29T21:43:59.714617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c5fd4f90-32d8-4618-a2e6-7a39d8976e7b · inbound

Sharper Ramsey lower bounds from refined Gaussian estimates cites this paper.

Sharper Ramsey lower bounds from refined Gaussian estimates A new lower bound for the Ramsey numbers $R(3,k)$

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-04T00:29:14.931870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 655593f3-733d-4229-907b-936e430b0322 · inbound

Prime Certificates for Exact Vertex-Coprime Ramsey Numbers cites this paper.

Prime Certificates for Exact Vertex-Coprime Ramsey Numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 12

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T17:33:45.358390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 631b3745-7ef5-440d-bf8e-4d0e1e3b3a62 · inbound

Off-diagonal Ramsey numbers cites this paper.

Off-diagonal Ramsey numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T11:23:20.607024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b00bff0b-f28f-40b7-bbf7-4f91017f3cb1 · inbound

The independence number of uncrowded hypergraphs: bounds matching the shattering threshold cites this paper.

The independence number of uncrowded hypergraphs: bounds matching the shattering threshold A new lower bound for the Ramsey numbers $R(3,k)$

Reference 15

Resolution: metadata mismatch; arxiv_id, observed 2026-07-03T21:58:59.401574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2f6e2ac2-0d4f-4674-9384-12242d70ad00 · inbound

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers cites this paper.

New Tower-Type Lower Bounds for Hypergraph Ramsey Numbers A new lower bound for the Ramsey numbers $R(3,k)$

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T16:59:57.751576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 18d6c8db-e9b6-4327-b28c-2149ec36296b · inbound

On the Erd\H{o}s-Rogers function cites this paper.

On the Erd\H{o}s-Rogers function A new lower bound for the Ramsey numbers $R(3,k)$

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-01T21:27:35.845807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8621463-df5d-416c-ad4a-6ae4c6a14001 · inbound

Recent progress in graph theory using expansion cites this paper.

Recent progress in graph theory using expansion A new lower bound for the Ramsey numbers $R(3,k)$

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T00:48:44.309041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.