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Paper Citation Record · LEDGER

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

As of 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.048468Z digest=sha256:535339baf346b633c1b93b6d7325221b8a33d16b0b5fc64c5e53b89df42c74ac

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.096056Z digest=sha256:0ac92ce86d17fed5e41a844161d813124f24ad68a98666f394b6a2150c141ab5

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.124022Z digest=sha256:dae79ff2ecceb50b286b24909f136ffa648f3fc24f2b53c81dc0895e7771bea6

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.154233Z digest=sha256:969ac9a5fe6d11417de6698f78574c3b86c8d443739578441a17bc5d084204cc

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.207514Z digest=sha256:5493fe20a34e110429f3d5a73f4fd43e4c17d9828d4cd0f8ea66d9da9d3958b0

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.260259Z digest=sha256:f32d45d0e0d64ec8c069ed7705cf40a0b341e96fadc660389f7e6738e652fa17

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.310093Z digest=sha256:196b760eb5fc7ba3595ec90f192d6257569b944db04b09a2168ae4dc9581febc

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=sha256:39bd2d1d01b50b9de1ceaab6ab76ce27643a6a2ef43bbb6e85424773840ac909

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.402515Z digest=sha256:24b2c3a1dd13b065e62f8170fa7c1d288b5bb5b6a9746b1f3953da718e12d2a8

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 2026-08-13T06:32:02.005865+00:00.

source=arxiv_source observed=2026-08-06T19:12:19.445891Z digest=sha256:0e41bb8da69814d0113290821de2039fdfa9413a14dc3a3c7d048b6a7eea74d6

Pith citing papers

No inbound Pith citation observations are available.