Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T14:27:44.164776Z
Paper Citation Record · LEDGER
As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2508.21506.
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 2026-08-05T14:27:44.164776Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
29 of 29 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 305a90de-ac0b-4a55-89bf-716467dc0189 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Ahmad, M
Reference 1
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 694be528-178f-4cc5-a154-9318034add70 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs On the Edge Derivative of the Normalized Laplacian with Applications to Kemeny's Constant
Reference 2
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 fd252772-2ac8-4e0e-8281-6431064c93ec · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Altafini, D
Reference 3
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 bec5e92e-bd11-48e9-b045-694ec5f1cbce · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Benzi and P
Reference 4
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 469fae23-5836-4066-8764-85f328884c56 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Changing the ranking in eigenvector centrality of a weighted graph by small perturbations
Reference 5
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 97d3632a-6447-4c55-b46a-2b8130e71ac7 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Benzi and C
Reference 6
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 be94ffad-a236-43b1-80cd-5bdda7cab56b · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Berkhout and B
Reference 7
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 ab3f7a66-ff1d-4f05-b759-268fd48ab2c4 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 8
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 2cb55229-96c1-4970-9cda-147275716482 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 9
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 a73c11ab-cd0b-46dc-967c-6c3651b9e62f · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 10
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 db3e6e91-09d9-4ae3-b11d-9d6ced30155a · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Breen and S
Reference 11
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 5cc83786-f6af-4e5f-9e1c-6a2d8953938a · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Cipolla, F
Reference 12
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 a7418a59-1061-40ef-85e4-aa2077f11b61 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Crisostomi, S
Reference 13
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 d2bc4b66-c573-4633-b021-1d0b4172117b · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Cuthill and J
Reference 14
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 5e874cb9-4d05-4965-aa65-b4b315fbd249 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 15
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 f3345bab-4184-46bb-9a2d-cead03141b18 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 16
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 b415f4a3-c6ab-4996-86cd-18f9a8eb704e · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 17
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 bff83e76-f1ab-49de-8941-93a7328e46fa · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 18
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 57146f20-1fff-40d0-96d9-508211e13576 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 19
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 d1ff8996-10c5-4776-b4a0-e528e9fbff1b · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 20
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 93ba1434-4097-4a56-a6fc-82bb5ea4d972 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Kemeny and J
Reference 21
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 fb8991a7-0902-4cb0-9c73-3183412b9cf7 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 22
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 43a84b37-6d6f-48de-b282-e27ad0266897 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Edge Addition and the Change in Kemeny's Constant
Reference 23
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 14e6813a-fcd1-4a3b-815b-3a2832e85235 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Liben-Nowell and J
Reference 24
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 c050b856-7bfb-441e-8ac8-985ff4c3fe87 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Finding community structure in networks using the eigenvectors of matrices
Reference 25
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 e97712e6-6210-4b05-9798-7f51f2d994e2 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Patel, P
Reference 26
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 9c31a04f-9414-403a-b39a-92c0013c9b76 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 27
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 fc651aeb-9fb8-4ecc-8558-eee6782378cf · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 28
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 efcf2b1e-cb4f-4520-9ec3-096817a815d4 · outbound
The Derivative of Kemeny's Constant as a Centrality Measure in Undirected Graphs Unresolved cited work
Reference 29
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.
No inbound Pith citation observations are available.