Pith. sign in

Paper Citation Record · LEDGER

Causal K-Means Clustering

As of 9 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2405.03083.

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

pith.paper-citation-record.v1
2405.03083 v5

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-24T01:01:44.063986Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T03:00:36.206266Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

  • verified exact2
  • verified fuzzy11
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d538cb4f-eb2b-41be-bb1b-7ba9f8a99521 · outbound

This paper cites and Vassilvitskii, S.

Causal K-Means Clustering and Vassilvitskii, S

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.181740Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:c88a519d20b4a6a1029c8f9eeb65da317a11ca13f01728d365d78bae61fbded3

Observation 8f140ed6-d6d7-4df3-8d9a-2c56c0e40485 · outbound

This paper cites C., Taylor, J.

Causal K-Means Clustering C., Taylor, J

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.185639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:0afda5e515199efaa5f3ed1fdf829426b1d39d0234487ebac215b3fc1a14cbb2

Observation 5f191585-df8e-4015-bd82-b14d93890453 · outbound

This paper cites Cross-Fitting and Fast Remainder Rates for Semiparametric Estimation.

Causal K-Means Clustering Cross-Fitting and Fast Remainder Rates for Semiparametric Estimation

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-05-24T01:03:41.321036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:29260d4a12367f9df3639b7690bc6f605b6bfa94245839eb2224e50479b2bcbd

Observation 4e57bcac-1df2-49f1-bd1a-4d2a83689b86 · outbound

This paper cites Handling missing data in model-based clustering.

Causal K-Means Clustering Handling missing data in model-based clustering

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:03:41.315902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:d4dccbc8fb07ec8ee818a6051b8e27d3080aede850c375879c670925c71c7e3b

Observation 4aed5364-389a-4172-98d8-20834a4f8d64 · outbound

This paper cites and Kang, H.

Causal K-Means Clustering and Kang, H

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.166808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:de37875329a47b2bda437fae28a388485bbecc1e8380890b73ffddfbaa7bd3a8

Observation afb29e36-7c92-4f5d-9b65-356ec93e0a58 · outbound

This paper cites J., Li, S., Tsai, A.

Causal K-Means Clustering J., Li, S., Tsai, A

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.200494Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:605b22081d863777efbf0e3b33bc5a0ec76d433a1360f2b7d658db5e6b901edc

Observation 27ac69b0-af3a-406b-94f3-e7e0356bb7ef · outbound

This paper cites and Athey, S.

Causal K-Means Clustering and Athey, S

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.170339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:9c9475df46135aaa6c94d3123aa5af687c270ee93c91375a09619f412c3d94f5

Observation a5330815-5ed8-4aae-9570-b43c95b97811 · outbound

This paper cites D., Liu, L., Zhou, Z.-H.

Causal K-Means Clustering D., Liu, L., Zhou, Z.-H

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.177427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:9d1d90b04e2d55fb3e4324e4c3daa052dc8b5fb2fa6608f37beae6e1c3af2eb0

Observation 9113c575-b841-4c88-8191-3831c4122376 · outbound

This paper cites harm” or “nonresponder.

Causal K-Means Clustering harm” or “nonresponder

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.189933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:c0debcb29d4e5b3730fcb175f4f601ae240f92c4459e0c3900cb1364187ffcc3

Observation 94f9c6bc-7d97-4926-a178-ac77d22891da · outbound

This paper cites Then the same argument holds, and again,max{|ˆf|,|f|}≤|ˆf−f|.

Causal K-Means Clustering Then the same argument holds, and again,max{|ˆf|,|f|}≤|ˆf−f|

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.196621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:9b296b32d944ba448b3594e82a82ac9c3648c8d15bb2afa0a265bc4405b98602

Observation 9b4bcd1c-e75f-4b38-bb55-57af0d7a90b9 · outbound

This paper cites The terms on the RHS of the last display can be bounded using techniques that will be developed in the proof of Theorem 3.2.

Causal K-Means Clustering The terms on the RHS of the last display can be bounded using techniques that will be developed in the proof of Theorem 3.2

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.159114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:ca6b6d2f89cb6f92dcf89f55749e892aed1040f46917d768232f00ed6733976a

Observation d78a04e6-779a-481b-ba58-06f1701ea20c · outbound

This paper cites Then we have sup Q N(ϵ∥Fn∥Q,2,Fn,L 2(Q))≲ (c1 ϵ )c2ν′ for some universal constantsc 1,c 2 >0.

Causal K-Means Clustering Then we have sup Q N(ϵ∥Fn∥Q,2,Fn,L 2(Q))≲ (c1 ϵ )c2ν′ for some universal constantsc 1,c 2 >0

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.163282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:d33ae59b5ce7878e3bd3718e90d713d387a1452072298080997bb24dbb680954

Observation 5518e92d-2e84-43f5-a73f-4d8bc4273cd9 · outbound

This paper cites Therefore, P{φC∗(Z; ˆη)−φC∗(Z;η)}≲   maxa ∥ˆµa−µa∥∥ˆπa−πa∥ + maxa ∥ˆµa−µa∥α+1 ∞ + 1 κmaxa ∥ˆµa−µa∥∞∥ˆµa−µa∥P,1  1(p).

Causal K-Means Clustering Therefore, P{φC∗(Z; ˆη)−φC∗(Z;η)}≲   maxa ∥ˆµa−µa∥∥ˆπa−πa∥ + maxa ∥ˆµa−µa∥α+1 ∞ + 1 κmaxa ∥ˆµa−µa∥∞∥ˆµa−µa∥P,1  1(p)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-24T01:03:42.154901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:01:44.063986Z digest=sha256:e0d4091834ca87d7ca344c7c48700bb97e312a0944bdda89dde13d1c336cfa79

Pith citing papers

Observation 244fef4e-5188-4b8c-a86f-53958bf176f6 · inbound

CaSPECT: Discovering Causally Homogeneous Subgroups via Directed Spectral Clustering cites this paper.

CaSPECT: Discovering Causally Homogeneous Subgroups via Directed Spectral Clustering Causal K-Means Clustering

Reference 2

Resolution
unresolved
no resolver link, observed 2026-07-12T03:00:36.206266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-12T03:00:36.206266Z digest=sha256:01d89b1498b5d4d39e6801524056241b6efbb218fdfe4f9a8fc78727819de6c0