Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T04:33:36.552866Z
Paper Citation Record · LEDGER
As of 14 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2509.06131.
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 2026-08-05T04:33:36.552866Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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
14 of 14 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation df22c8d2-577f-4d64-b586-b6df681f846f · outbound
Planar Tur\'{a}n numbers of three configurations Extremal C4-free/C5-free planar graphs
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1401adc0-4ed7-4554-8268-a0651c5d7f84 · outbound
Planar Tur\'{a}n numbers of three configurations Extremal spectral results of planar graphs without vertex-disjoint cycles
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b62f4c99-322b-47f3-abeb-bf53a4b1dd42 · outbound
Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numbe r of intersecting triangles
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 801813fa-8614-4374-b61c-8763ae493b50 · outbound
Planar Tur\'{a}n numbers of three configurations Outerplanar tur´ an numbers of cycles and paths
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 064a8ce3-c141-4fba-9337-a8c381d5b4d0 · outbound
Planar Tur\'{a}n numbers of three configurations Planar Tur´ an number of the 6-cycle
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 47a677ba-4663-47f7-a962-a878e3645594 · outbound
Planar Tur\'{a}n numbers of three configurations The planar Tur\'an number of the seven-cycle
Reference 6
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 35d70bcc-c127-478f-948c-bb9c4acb127b · outbound
Planar Tur\'{a}n numbers of three configurations A new construction fo r the planar Tur´ an number of cycles
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 26ca21aa-28b4-412d-9686-859e1e488b28 · outbound
Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numbers of short p aths
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8c087f00-1fcd-4ad0-85b0-74341325053e · outbound
Planar Tur\'{a}n numbers of three configurations Extremal H-free planar graphs
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fb0300dd-42d8-492c-8e0e-8ff90bfaa724 · outbound
Planar Tur\'{a}n numbers of three configurations Extremal Theta-f ree planar graphs
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 279402a0-69fd-46de-ab30-bea3afc30982 · outbound
Planar Tur\'{a}n numbers of three configurations Planar Tur´ an numb ers of cubic graphs and disjoint union of cycles
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6960910a-fd92-4f8f-80cf-bd29daa7acce · outbound
Planar Tur\'{a}n numbers of three configurations Planar Tur´ an number of the disjoint union of cycles
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 211f9723-f3df-4872-9e77-c2023e5ebb4e · outbound
Planar Tur\'{a}n numbers of three configurations Dense $2$-connected planar graphs and the planar Tur\'{a}n number of $2C_k$
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c1cce7ef-6c2a-4864-8e98-7c1e348944d6 · outbound
Planar Tur\'{a}n numbers of three configurations Dense circuit graphs and th e planar Tur´ an number of a cycle
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
No inbound Pith citation observations are available.