Pith. sign in

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:fe2d48dd9939d12ca6010db4c8451f20d176dfd34e3ac53373e05cf9a69792aa

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=sha256:1c0c4590baab264972146a70de7cb115c8caa2fd2ffc74cdb3153d8d936cae8e

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=sha256:72efcb98a79562829a962170fe74ef1a44e8fa1d163053b7bab8f83797ea3544

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:d77487ef0c3b8d16d0b801b50b8c20eba5cffc3dc57931ceb7943a6102e344c9

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=sha256:5dea59d302164b36436ffb43527f32ea84719af41bb1d14ea56cf503dc6f4de7

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:ff60d1302d2c8e789e4319cec85afd30dea99f39657c5357379bc5ec71b782be

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=sha256:8d1dc14521e87e06c4529a83777bbb87dc08854923071925388a0efdcfa105e3

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:f71e4eddc8373214b86c783104d521417985f270eb083711f763e4dac68e0548

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=sha256:1c46f65d113374856a8d9d5a566a13064ad63ed607fe4d067921a5643d1fdf60

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=sha256:68d3a212d9bd0059b3eb487ec8cba03379de7426043b1dbb677da81399bde7ba

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:ea5a39c9c4a6a19cac2f6c17b1c757d41680544115b81bb3a1f80197aab0f923

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=sha256:1c91c70dc2fdb0b778de090ca9b72c79a24b1eed497013d45a594270f1e474b0

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=sha256:47464c4c8f2fcfff945ebfd0c321cdaa798273d2c25ea6d61bb36359061fd032

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=sha256:72c99e84f6fb5b0f2a2b15e7f9bdf699848e553f17d12359908d04b6c947454d

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:e035e2a4b8d85d814abd39be82383e6958b50ac0dbcb28187bea7ed33bd0d3b8

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=sha256:9419000d829d2e42aa91c1fe70b7e753f46d86d1a638c3261c4f436e22207027

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:e97b0a96cbfcef7aa0a623d3e72be4c08f2bb9475af450620da3cae2daa38b24

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=sha256:173714f008d9230964803212f301153485b9dda56809cbc6c7723f61c1df67dd

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=sha256:3c484cf62b40f29f71d50ebbad6a53eaedee5f4eb2aca1f1088a608186b6c35a

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=sha256:3283cd9c32ae07c87f5c179d7633f3761b73e3bc1c64db5a059c77c7e6a70a50

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=sha256:7ef1c851e7b3d70aed2e5fe95f4c907759a83001a30eafd685f246d9edeb90c3

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=sha256:5d4807029bc95ec1832452c182b536c1f28ae34d68644f3634de5547773591f8

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=sha256:804a036dfa0a82e37ef8fd5934f7dafe4d1e06665767129c6fd81435a6988b61