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Paper Citation Record · LEDGER

Fully dynamic hierarchical diameter k-clustering and k-center

As of 16 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:1908.02645.

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

pith.paper-citation-record.v1
1908.02645 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:57:55.828464Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:05:29.108395Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T14:05:29.189023Z

Reference resolution

22 of 22 outbound references displayed

  • verified exact0
  • verified fuzzy19
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 005353f4-7706-4a17-8a86-851111a5d863 · outbound

This paper cites 1-2, 29--53.

Fully dynamic hierarchical diameter k-clustering and k-center 1-2, 29--53

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.146677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.742656Z digest=sha256:9de642100c44d6d81b54e2ed0ecb2e8bf46074e24d1fdbc236330f30ad15bd06

Observation af0ed0bc-8fa2-412e-8382-398802ccd909 · outbound

This paper cites 3, 385--415.

Fully dynamic hierarchical diameter k-clustering and k-center 3, 385--415

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.135349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.747824Z digest=sha256:8c8f01e4ec12d251bf22516ba70cdf2e2c3a3b92ddcc2b73863ba869fdc2fac3

Observation 4e923b66-5613-489c-8593-89f8fac12822 · outbound

This paper cites 55, 2016, pp.

Fully dynamic hierarchical diameter k-clustering and k-center 55, 2016, pp

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.123712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.751814Z digest=sha256:f555b4c84cdcd41fa3d37f2dc494d96a25504c37b395ee0381bc153f3692e4d8

Observation bee8faf3-4cef-4b14-a435-cc432da2de49 · outbound

This paper cites an unresolved cited work.

Fully dynamic hierarchical diameter k-clustering and k-center Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:57:56.111811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.755960Z digest=sha256:dad50adda9cc3a06d7e0cbc5cf0f92b5b9e5a5f6845804edfdb36bee6d40dbbb

Observation 778fd991-96b0-4e63-bad6-5baed7983e56 · outbound

This paper cites 5036--5044.

Fully dynamic hierarchical diameter k-clustering and k-center 5036--5044

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.100717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.760203Z digest=sha256:43b94f2988cb91d130c47585e89a5452816eadb85bb286c2e9141e534065787a

Observation 4ffbeee4-d375-43c6-9e92-b4bc25a79ceb · outbound

This paper cites Chen, Jian Li, Hongyu Liang, and Haitao Wang, Matroid and knapsack center problems, Algorithmica 75 (2016), no.

Fully dynamic hierarchical diameter k-clustering and k-center Chen, Jian Li, Hongyu Liang, and Haitao Wang, Matroid and knapsack center problems, Algorithmica 75 (2016), no

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.089102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.764639Z digest=sha256:90d995e4cce4ea22bc1def04d2a8ee0043fe68b1faa7e16caf7767f48cf9d58f

Observation f2b7f962-b27e-406a-8443-a9fc7da5521d · outbound

This paper cites 505--517.

Fully dynamic hierarchical diameter k-clustering and k-center 505--517

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.076920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.769043Z digest=sha256:dcc84e021e076aaacecf4955b226bfe41db052617913f17de02f661aea2eaad9

Observation 4871b822-9907-48b0-be95-1e64535dccf5 · outbound

This paper cites 19:1--19:12.

Fully dynamic hierarchical diameter k-clustering and k-center 19:1--19:12

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.064777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.773197Z digest=sha256:46e3ee95e4619df134d9c5c38a3f1fb9968615406b6e36732acbfb72ad293e0e

Observation 66d01c1a-34e2-4c5c-9bfc-1d253b164fe2 · outbound

This paper cites an unresolved cited work.

Fully dynamic hierarchical diameter k-clustering and k-center Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:57:56.051211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.777009Z digest=sha256:20b02d097dd15990fc5b152119572ecaf5c117d860f9a579b52847326919620c

Observation 4e0a6ee7-7192-4e97-917f-adcb6e3ebb16 · outbound

This paper cites Long, Performance guarantees for hierarchical clustering, Journal of Computer and System Sciences 70 (2005), no.

Fully dynamic hierarchical diameter k-clustering and k-center Long, Performance guarantees for hierarchical clustering, Journal of Computer and System Sciences 70 (2005), no

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.037822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.780753Z digest=sha256:665de234da6f27258747911eff7d9c444c40b6ce74641b6ddd83e7c24c0f4c67

Observation 2bad8ac7-e1a1-4a2a-89ed-f9ba05da2f94 · outbound

This paper cites an unresolved cited work.

Fully dynamic hierarchical diameter k-clustering and k-center Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:57:56.023861Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.784733Z digest=sha256:66e161e4e4ef0c541ad29b2c853e54258739cc864d428737c740f6f44f4cfadc

Observation c5a03519-b546-4598-9f9e-430680e648ae · outbound

This paper cites Greene, Optimal algorithms for approximate clustering, Proceedings of the 20th Annual ACM Symposium on Theory of Computing (STOC), 1988, pp.

Fully dynamic hierarchical diameter k-clustering and k-center Greene, Optimal algorithms for approximate clustering, Proceedings of the 20th Annual ACM Symposium on Theory of Computing (STOC), 1988, pp

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:56.008180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.788506Z digest=sha256:07f4f636b83c8de47a5d960b0dc964c466602058b9500c624374ca15894c64ca

Observation 7ed7d7b9-dab6-40be-889c-dff07117f091 · outbound

This paper cites Gonzalez, Clustering to minimize the maximum intercluster distance, Theoretical Computer Science 38 (1985), 293--306.

Fully dynamic hierarchical diameter k-clustering and k-center Gonzalez, Clustering to minimize the maximum intercluster distance, Theoretical Computer Science 38 (1985), 293--306

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.993516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.792227Z digest=sha256:9fb24db489a4eaecb030d3f18d0fee19aa2be4e91195974bbd72109c8807d6bf

Observation 15775fac-ee05-41ef-b431-3bcb9e2b1dba · outbound

This paper cites 1371--1380.

Fully dynamic hierarchical diameter k-clustering and k-center 1371--1380

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.980083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.796351Z digest=sha256:8c19062097fab177f16ebb271fd8a6c380a89ddbed1f33028779b71ced7f20e8

Observation 7c5133ea-524e-4ee7-afda-d772838479db · outbound

This paper cites Nemhauser, Easy and hard bottleneck location problems, Discrete Applied Mathematics 1 (1979), no.

Fully dynamic hierarchical diameter k-clustering and k-center Nemhauser, Easy and hard bottleneck location problems, Discrete Applied Mathematics 1 (1979), no

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.966616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.800352Z digest=sha256:6223c3e09b9dfe9932984774cee8bf1c1cdf31a65b1f5dde64bbe20d76855219

Observation e605105f-3ea4-4ca7-bfb4-eb0cbe69517e · outbound

This paper cites Hochbaum and David B.

Fully dynamic hierarchical diameter k-clustering and k-center Hochbaum and David B

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.951944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.804518Z digest=sha256:170d14640e5252165d6b016f2d4670e9d7236eb365e0fd80b28a6bdabc908055

Observation 9d0dfd04-c9b9-41ce-a5c0-7d6814db51e6 · outbound

This paper cites Sussmann, Fault tolerant k-center problems, Theoretical Computer Science 242 (2000), no.

Fully dynamic hierarchical diameter k-clustering and k-center Sussmann, Fault tolerant k-center problems, Theoretical Computer Science 242 (2000), no

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.936603Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.808513Z digest=sha256:afc9f84b4510ccc773a8f109edd1374c99d8eac7e07a51fe84c0ad2b406794d1

Observation d8764b93-555e-4b62-981d-bd853fdd57e8 · outbound

This paper cites Sussmann, The capacitated K-center problem , SIAM Journal on Discrete Mathematics 13 (2000), no.

Fully dynamic hierarchical diameter k-clustering and k-center Sussmann, The capacitated K-center problem , SIAM Journal on Discrete Mathematics 13 (2000), no

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.921838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.812975Z digest=sha256:aace748a761d52c54b8ce124d25e8ae6049847787b1bfc82405f89b940b3df6a

Observation 1ecf77c0-001b-42a3-9a32-169357b02943 · outbound

This paper cites Williamson, A general approach for incremental approximation and hierarchical clustering, SIAM Journal on Computing 39 (2010), no.

Fully dynamic hierarchical diameter k-clustering and k-center Williamson, A general approach for incremental approximation and hierarchical clustering, SIAM Journal on Computing 39 (2010), no

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.908347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.816726Z digest=sha256:2e3799e512ea8148af267f119efbe0d7e278f84db12749180469e678cb4373ef

Observation 32305140-016b-4380-badf-fe3962994127 · outbound

This paper cites 188--200.

Fully dynamic hierarchical diameter k-clustering and k-center 188--200

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.894388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.820735Z digest=sha256:b89749061711447d3947a2253f5e37891abe2cc79e476ecdae8b7dbff56e753c

Observation 7c467572-d3a6-4621-8fad-3c6753f826fc · outbound

This paper cites 165--178.

Fully dynamic hierarchical diameter k-clustering and k-center 165--178

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.881107Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.824366Z digest=sha256:d4138a0bac1d9dad50d8a57f258f9819f6b3be85537dec7a64bd184df5cf013b

Observation 14d5925e-b528-4d8a-87a7-6fe83e109d41 · outbound

This paper cites 2, 122--144.

Fully dynamic hierarchical diameter k-clustering and k-center 2, 122--144

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:57:55.865761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-14T14:57:55.828464Z digest=sha256:dd2b0ed7ea5064853bd9151597cac8aca8bba26ee6dfe67c6c6ed84cc2d330f2

Pith citing papers

Observation a4d93e80-fe9a-45e3-a1da-5e2e8cc873c6 · inbound

Fully Dynamic k-Center Clustering in Doubling Metrics cites this paper.

Fully Dynamic k-Center Clustering in Doubling Metrics Fully dynamic hierarchical diameter k-clustering and k-center

Reference 26

Resolution
verified exact
local_arxiv, observed 2026-08-14T14:05:29.196064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T14:05:29.108395Z digest=sha256:91974b27ee95b54892fb2a4da88d599b15b39209f196626df72130713aec72f3