Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-19T22:56:44.133687Z
Paper Citation Record · LEDGER
As of 23 July 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:2605.17430.
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 2026-05-19T22:56:44.133687Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-07-23T06:31:01.910684+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
11 of 11 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 1f87cae9-62c5-48d1-95a3-339d6af43131 · outbound
Triangles in graphs without the expansion of $4$-cycle Alon and C
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation b860d0b8-a7dd-48c8-b9fe-aac15b04ebc8 · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation bee15f8a-70d5-461b-9ae2-5e8442ffaec1 · outbound
Triangles in graphs without the expansion of $4$-cycle Gerbner and B
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 15f4cbc9-6a12-4a64-aeb5-cffdc9d2e6a1 · outbound
Triangles in graphs without the expansion of $4$-cycle Kostochka, D
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 30ffa8e1-17bc-4fd3-ab8a-841ed6e1b0de · outbound
Triangles in graphs without the expansion of $4$-cycle Kostochka, D
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation c9abe0fc-530d-4c8c-a3bf-6c766170c1ae · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 2b6ef65e-008d-4400-8aec-f9951b1a05e2 · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 48ada302-5569-499c-8a5b-a32f458f9878 · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation a2f42776-4ae9-4d4b-8c96-9f3a64e82bde · outbound
Triangles in graphs without the expansion of $4$-cycle Yuan and W
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation 5dab06b3-21ed-489d-8109-e715444e7cad · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
Observation a24b25dc-e670-4bf2-bf46-c481c0b053f3 · outbound
Triangles in graphs without the expansion of $4$-cycle Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.
No inbound Pith citation observations are available.