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Paper Citation Record · LEDGER

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes

As of 8 August 2026, this Paper Citation Record lists 10 of 10 outbound references and 0 inbound Pith citation observations for arXiv:2507.06212.

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

pith.paper-citation-record.v1
2507.06212 v1

Coverage vector

measured 10 of 10 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:12:19.445891Z

measured 10 of 10 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

10 of 10 outbound references displayed

  • verified exact2
  • verified fuzzy7
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 51cc99e0-3cef-44e7-80bd-452e64256846 · outbound

This paper cites Topological methods for the analysis of high dimensional data sets and 3d object recognition.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Topological methods for the analysis of high dimensional data sets and 3d object recognition

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:20.627971Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.048468Z digest=sha256:e4da77ddd8a17c7f1e9b0e1093ac2f0a2a016a88143ad8055c6c3d24864a51c1

Observation a539e111-6ea4-4075-9c46-2089c55b9bf6 · outbound

This paper cites Extracting insights from the shape of complex data using topology.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Extracting insights from the shape of complex data using topology

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:20.437716Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.096056Z digest=sha256:f473a3e1b0b3559d921e3313347cc3a99ae7ab1a1603690a9e8ec468f84df0da

Observation a2c783fa-d783-4c95-9c7e-add819b982b2 · outbound

This paper cites Python mapper: An open-source toolchain for data exploration, analysis and visualization.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Python mapper: An open-source toolchain for data exploration, analysis and visualization

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:20.276911Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.124022Z digest=sha256:2d425da38cbb20af8f34d2c904013e1b9c2bf4e1561b381e278454643d471d3f

Observation 6aec7187-1a0a-450c-9e9e-edc8dc5f2c6f · outbound

This paper cites an unresolved cited work.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Unresolved cited work

Reference 4

Resolution
verified exact
doi, observed 2026-08-06T19:12:19.680899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.154233Z digest=sha256:0142a509d736911b0334b01841aa4dcdba97f6fa0e6048ab7d55e12f15f5691c

Observation 9eb3db1f-15d8-4204-8574-d257d870dd25 · outbound

This paper cites giotto-tda: A topological data analysis toolkit for machine learning and data exploration, 2020.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes giotto-tda: A topological data analysis toolkit for machine learning and data exploration, 2020

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:20.145956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.207514Z digest=sha256:244b2a038f46b855b1193c0953dcf7c2b7722371cb6de606f7a35921c671b580

Observation 98fdfea6-2a4b-4158-b38b-7f4a4a6fec8c · outbound

This paper cites tda-mapper, November 2024.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes tda-mapper, November 2024

Reference 6

Resolution
verified exact
doi, observed 2026-08-06T19:12:19.577660Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.260259Z digest=sha256:a5f997df68d66b71850a183dc597d813cb85b76540fcd287f3b2633d46126833

Observation 61f87dc7-a784-4f0b-867b-154be43460be · outbound

This paper cites Certified mapper: Repeated testing for acyclicity and obstructions to the nerve lemma.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Certified mapper: Repeated testing for acyclicity and obstructions to the nerve lemma

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:19.989907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.310093Z digest=sha256:7a7f9ecad51c5aa076d46e0272a96ef8e6e9187b25ec6a916ab3d5dff197b21d

Observation ef6b1159-8b12-4e75-af6e-f455c6737cce · outbound

This paper cites Any Graph is a Mapper Graph.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Any Graph is a Mapper Graph

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-06T19:12:19.351745Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-06T19:12:19.351745Z digest=sha256:31125935ed3499b542b59282a00de6e83ef558df9cbac6798fa218a02a966732

Observation 64348d87-e837-460a-b22f-63dea8e583de · outbound

This paper cites Silhouettes: a graphical aid to the interpretation and validation of cluster analysis.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes Silhouettes: a graphical aid to the interpretation and validation of cluster analysis

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:19.892436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.402515Z digest=sha256:b77ddbf862e9e2b97758d891c789e95230a041ca93c4258bf0aa9e64fc367ff2

Observation 3e890593-4c90-4415-9fc1-fdcb827c256d · outbound

This paper cites An efficient density based clustering algorithm for large databases.

$k$-means considered harmful: On arbitrary topological changes in Mapper complexes An efficient density based clustering algorithm for large databases

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:12:19.803771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.445891Z digest=sha256:fd4345509b259b3c0530c5c5da865b0800b4aaa3c3fc155e6973054b79d1d184

Pith citing papers

No inbound Pith citation observations are available.