Paper Citation Record · LEDGER

Density of rainbow triangles and properly colored $K_4$'s

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2511.21061.

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

pith.paper-citation-record.v1
2511.21061 v3

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T20:20:49.596097Z

measured 15 of 15 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

verified exact4
verified fuzzy0
unresolved9
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 5f7b337e-2534-401e-ac83-a54faa3ec910 · outbound

This paper cites Limits, Regularity and Removal for Finite Structures.

Density of rainbow triangles and properly colored $K_4$'s Limits, Regularity and Removal for Finite Structures

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:48.781393Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c7906e3-cf9a-4b78-934f-263aa7c3821e · outbound

This paper cites Rainbow triangles in three-colored graphs.J.

Density of rainbow triangles and properly colored $K_4$'s Rainbow triangles in three-colored graphs.J

Reference 2

Resolution: malformed identifier; no resolver link, observed 2026-08-03T20:20:48.979845Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83ddfe9f-b98d-4ab9-9bcb-d5b41ca32c0d · outbound

This paper cites Tight Bound and Structural Theorem for Joints.

Density of rainbow triangles and properly colored $K_4$'s Tight Bound and Structural Theorem for Joints

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.142013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40e7b478-636d-4107-8ac1-db4fc44c8507 · outbound

This paper cites Kruskal-Katona-type problems via the entropy method.

Density of rainbow triangles and properly colored $K_4$'s Kruskal-Katona-type problems via the entropy method

Reference 4

Resolution: verified exact; doi, observed 2026-08-03T20:23:34.494509Z

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 b367cdb7-6c98-40b4-b560-70efd3071e75 · outbound

This paper cites A Purely Entropic Approach to the Rainbow Triangle Problem.

Density of rainbow triangles and properly colored $K_4$'s A Purely Entropic Approach to the Rainbow Triangle Problem

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.299333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2283bdf7-fedf-4eac-8eaf-762bec103ebe · outbound

This paper cites Guibas, Richard Pollack, Raimund Seidel, Micha Sharir, and Jack Snoeyink.

Density of rainbow triangles and properly colored $K_4$'s Guibas, Richard Pollack, Raimund Seidel, Micha Sharir, and Jack Snoeyink

Reference 6

Resolution: verified exact; doi, observed 2026-08-03T20:23:34.288122Z

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 60a2c55a-827a-4368-9313-50a90952d222 · outbound

This paper cites On Ramsey like theorems.

Density of rainbow triangles and properly colored $K_4$'s On Ramsey like theorems

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.455468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 68f01ede-0d84-4de1-b0be-be9e4d88b483 · outbound

This paper cites American Mathematical Society, Providence, RI, 2016.doi:10.1090/ulect/064.

Density of rainbow triangles and properly colored $K_4$'s American Mathematical Society, Providence, RI, 2016.doi:10.1090/ulect/064

Reference 8

Resolution: verified exact; doi, observed 2026-08-03T20:23:34.042242Z

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 0ae73b7e-5ef7-4e85-8af2-fba22346bff4 · outbound

This paper cites The Four-Color Ramsey Multiplicity of Triangles.

Density of rainbow triangles and properly colored $K_4$'s The Four-Color Ramsey Multiplicity of Triangles

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.541162Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb43697f-1297-4e69-8a86-621161e7f52e · outbound

This paper cites Problem 28.Wiskundige Opgaven, 10:60–61, 1907.

Density of rainbow triangles and properly colored $K_4$'s Problem 28.Wiskundige Opgaven, 10:60–61, 1907

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.552646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a308634-29f4-4944-8a07-e3057a43cc13 · outbound

This paper cites Razborov.

Density of rainbow triangles and properly colored $K_4$'s Razborov

Reference 11

Resolution: malformed identifier; no resolver link, observed 2026-08-03T20:20:49.558580Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 027aed16-d292-4d5a-ac53-64d3973d6a50 · outbound

This paper cites Eine Extremalaufgabe aus der Graphentheorie.Mat.

Density of rainbow triangles and properly colored $K_4$'s Eine Extremalaufgabe aus der Graphentheorie.Mat

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.573607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f284dad9-ad6b-45f3-9c6b-c87a684dbcfb · outbound

This paper cites Joints tightened.Amer.

Density of rainbow triangles and properly colored $K_4$'s Joints tightened.Amer

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.579182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21f3aff4-ba0d-4f9f-9f9b-3d4752391433 · outbound

This paper cites A proof of the multijoints conjecture and Carbery’s generalization.J.

Density of rainbow triangles and properly colored $K_4$'s A proof of the multijoints conjecture and Carbery’s generalization.J

Reference 14

Resolution: verified exact; doi, observed 2026-08-03T20:23:33.835994Z

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 9f8e905f-941e-47e0-b45a-5729eef878d9 · outbound

This paper cites an unresolved cited work.

Density of rainbow triangles and properly colored $K_4$'s Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-03T20:20:49.596097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.