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Paper Citation Record · LEDGER

A More Precise Elbow Method for Optimum K-means Clustering

As of 16 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2502.00851.

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

pith.paper-citation-record.v1
2502.00851 v2

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:35:24.522183Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T01:27:29.012043Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

  • verified exact0
  • verified fuzzy15
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3dcf098f-13db-4b91-bdcb-b425fe545aa4 · outbound

This paper cites Poverty level grouping in west java province with the k-means clustering method.Journal Of Data Insights, 1:51–61, 12 2023.

A More Precise Elbow Method for Optimum K-means Clustering Poverty level grouping in west java province with the k-means clustering method.Journal Of Data Insights, 1:51–61, 12 2023

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.721437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation aff0fe8e-692e-4611-9167-4b44a6da6b52 · outbound

This paper cites Everitt.Cluster Analysis.

A More Precise Elbow Method for Optimum K-means Clustering Everitt.Cluster Analysis

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.710057Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.471014Z digest=sha256:7bfd7e89319b6375b22f5dca7a52c6ad9630c5a63fbc3a0bb82647212817cc3c

Observation 610c51c1-8dd6-47fa-9fd7-9f35c141d526 · outbound

This paper cites Pearson, 1992.

A More Precise Elbow Method for Optimum K-means Clustering Pearson, 1992

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.698305Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.474741Z digest=sha256:45865275e108d0df0ca559a3514e98f9ade900bf7060b9661afb0e0efd3ecbda

Observation 993bef68-386e-4de5-80f3-85b99094303c · outbound

This paper cites The cluster analysis in the manufacturing industry with k-means method: An application for turkey.Eurasian Journal of Economics and Finance , 6:1–12, 9 2018.

A More Precise Elbow Method for Optimum K-means Clustering The cluster analysis in the manufacturing industry with k-means method: An application for turkey.Eurasian Journal of Economics and Finance , 6:1–12, 9 2018

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.686984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.478364Z digest=sha256:b174c5b7e9a240f578866a2157737f81d6e789110aede5a1fefb3aa055d0a1e4

Observation b500ca30-f031-4919-8a8b-5e90748ade2c · outbound

This paper cites The parallel implementation and application of an improved k-means algorithm.

A More Precise Elbow Method for Optimum K-means Clustering The parallel implementation and application of an improved k-means algorithm

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.676676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.482266Z digest=sha256:7fa541d2d2f7b9710ccd39b2aa43c5952887b59c82315ff2e19ce242dffe4da3

Observation 4311dfe9-770c-4c81-9d9f-ff215e2ef1e8 · outbound

This paper cites Clustering algorithms in healthcare, 2021.

A More Precise Elbow Method for Optimum K-means Clustering Clustering algorithms in healthcare, 2021

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.665768Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.486285Z digest=sha256:61e5cad101e769177025843a7162837630e82b9c8c0dc3fc8f72c1eb92d0adc5

Observation 837bdc47-126d-443e-a7a6-2b6469b7df97 · outbound

This paper cites Data as oil, infrastructure or asset? three metaphors of data as economic value.

A More Precise Elbow Method for Optimum K-means Clustering Data as oil, infrastructure or asset? three metaphors of data as economic value

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.656055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.490386Z digest=sha256:fc8c41edcd7ec1f8f0959e273e40e3156afadb67acff624834dbf5ca904692c6

Observation 1c5dc437-f22c-40d9-a187-9a2e8d65d758 · outbound

This paper cites Data clustering: application and trends.

A More Precise Elbow Method for Optimum K-means Clustering Data clustering: application and trends

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.645851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.494045Z digest=sha256:961527865328a08a10b410060a69006148939779a6852e738b35470411249d10

Observation bdcb1cfc-bf09-48f0-bd8f-32ec5bb0898e · outbound

This paper cites Springer International Publishing, 2017.

A More Precise Elbow Method for Optimum K-means Clustering Springer International Publishing, 2017

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.633901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.497612Z digest=sha256:1bc5a526b28da124b0ad072a0d01467aa6f4afc62c12ab7001aa98dbd1cf0527

Observation 8fdaa6f8-9fd2-4cdd-8048-39101e9e2ae3 · outbound

This paper cites Sistem informasi data penduduk pada desa bogoharjo keca- matan ngadirojo kabupaten pacitan.

A More Precise Elbow Method for Optimum K-means Clustering Sistem informasi data penduduk pada desa bogoharjo keca- matan ngadirojo kabupaten pacitan

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.622430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.501353Z digest=sha256:a1962c161084df145a552233d82ef1659b09a4fe049a779fc96c2905c5a900d8

Observation b78faf9b-a08d-4808-ab5a-f44968fbbf7c · outbound

This paper cites Penerapan metode algoritma k-means clustering untuk pemetaan penyebaran penyakit demam berdarah dengue (dbd).JOURNAL OF SCIENCE AND SOCIAL RESEARCH , 4:336, 10 2021.

A More Precise Elbow Method for Optimum K-means Clustering Penerapan metode algoritma k-means clustering untuk pemetaan penyebaran penyakit demam berdarah dengue (dbd).JOURNAL OF SCIENCE AND SOCIAL RESEARCH , 4:336, 10 2021

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.609633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.504865Z digest=sha256:feb2b98b11ac857d8072e7cde894ddf8cdf429a3da2a3522397be790b888c5ee

Observation 8bd3a528-d9fb-4386-aac3-650be9399ca2 · outbound

This paper cites A quantitative discriminant method of elbow point for the optimal number of clusters in clustering algorithm.

A More Precise Elbow Method for Optimum K-means Clustering A quantitative discriminant method of elbow point for the optimal number of clusters in clustering algorithm

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.596860Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.508527Z digest=sha256:bbaff419d32fa1d49d891ca23e0f20be23e9d7e0c1e54837e712d11e7e93c03c

Observation 3a9453f7-209f-49f0-85f0-8ddfb057a938 · outbound

This paper cites Sinaga and Miin-Shen Yang.

A More Precise Elbow Method for Optimum K-means Clustering Sinaga and Miin-Shen Yang

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.585821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.512161Z digest=sha256:2ce52d93e2ed291ddca1d594ac860373a099ba6c667a98b5e5bcfdc777dc0d59

Observation f7e3e197-7dd7-47d0-b01f-6dd6cb506aa3 · outbound

This paper cites Farming in kediri indonesia: analysis of cluster k-means.

A More Precise Elbow Method for Optimum K-means Clustering Farming in kediri indonesia: analysis of cluster k-means

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.575066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.515591Z digest=sha256:6111b33297ec7c2fb833a4dc88859eda0a08b4fed8b462caa7c8f78e797f7ed7

Observation e162c822-38b8-4473-8fac-49b484756c58 · outbound

This paper cites an unresolved cited work.

A More Precise Elbow Method for Optimum K-means Clustering Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-09T17:35:24.564341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.518853Z digest=sha256:3bab8e30cce577db564f94e022c344b488e00e80de953fd5286a3787838d0d9f

Observation 0c0dfef2-e241-4cd3-90c2-47cef04c4ace · outbound

This paper cites Research on k-value selection method of k-means clustering algorithm.

A More Precise Elbow Method for Optimum K-means Clustering Research on k-value selection method of k-means clustering algorithm

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T17:35:24.553595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T17:35:24.522183Z digest=sha256:c732e0f5441c6bb42eeda4180da296c71b2684c3f20fccaa29f5edd75d46693f

Pith citing papers

Observation c8f167f6-6a24-4cc7-b7a5-4dc78a48453b · inbound

Beyond Random Partitioning: Unsupervised Spatio-Temporal Stratification for Cohort Balancing in Longitudinal Medical Imaging cites this paper.

Beyond Random Partitioning: Unsupervised Spatio-Temporal Stratification for Cohort Balancing in Longitudinal Medical Imaging A More Precise Elbow Method for Optimum K-means Clustering

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-04T01:27:29.012043Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T01:27:29.012043Z digest=sha256:d7e7999eacbea58068a4a55bc08c53e0376a5f9ba7ba2e771dde3730b3e7d169