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Paper Citation Record · LEDGER

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization

As of 10 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 3 inbound Pith citation observations for arXiv:2506.05945.

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

pith.paper-citation-record.v1
2506.05945 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:25:11.508830Z

measured 15 of 15 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:40:19.989090Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T00:55:12.184485Z

Reference resolution

12 of 12 outbound references displayed

  • verified exact3
  • verified fuzzy4
  • unresolved2
  • parse uncertain0
  • malformed identifier2
  • metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7bdfb791-3812-48c1-82cf-db885d0753a8 · outbound

This paper cites , K} for a positive integer K ∥a∥ √ a⊤a, Euclidean norm of a vector a = (a1,.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization , K} for a positive integer K ∥a∥ √ a⊤a, Euclidean norm of a vector a = (a1,

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:25:11.655374Z

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=2026-08-07T10:25:11.498244Z digest=sha256:afda091cef8185ae9078904e51d1bb2f6431aa18cadc2111d5d8656e5a397945

Observation 47d873e7-675a-478c-bae7-996df2d0dffb · outbound

This paper cites (2023), using linear adjustment on simulated data (n = 1,.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization (2023), using linear adjustment on simulated data (n = 1,

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:25:11.631439Z

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=2026-08-07T10:25:11.506452Z digest=sha256:be9613d90e2bd648da20976f06a4a4581699bc3b140a6eb89e9a113a4d778c87

Observation c5563415-452e-4950-8097-94e89e949dea · outbound

This paper cites empirical estimator across quantiles for continuous outcomes, with n ∈ {1,000, 5,000, 10,000}.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization empirical estimator across quantiles for continuous outcomes, with n ∈ {1,000, 5,000, 10,000}

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:25:11.642954Z

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=2026-08-07T10:25:11.502698Z digest=sha256:75d3e73b6b5466e146e1dc0605ff46dab74f178e2bee230eb8b901882a1fbd6a

Observation 6d1d4360-f2ae-43c4-88b5-d8ec1c52e166 · outbound

This paper cites an unresolved cited work.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T10:25:11.637007Z

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=2026-08-07T10:25:11.504667Z digest=sha256:913a3900ae1be837651f85cf2aec31ccd91667c30305a06b17734d61a288ec5d

Observation 91fc48ff-48ba-495a-bf9d-5cbf9f4cda75 · outbound

This paper cites By Assumption 3.1, for all w ∈ W, we have maxs∈S |Dw(s)/n(s)| = op(1), maxs∈S |ˆπw(s) − πw(s)| = op(1), and mins∈S πw(s) > c >0, which imply supy∈Y |I1,1(y)| = op(1).

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization By Assumption 3.1, for all w ∈ W, we have maxs∈S |Dw(s)/n(s)| = op(1), maxs∈S |ˆπw(s) − πw(s)| = op(1), and mins∈S πw(s) > c >0, which imply supy∈Y |I1,1(y)| = op(1)

Reference 8

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T10:25:11.649357Z

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=2026-08-07T10:25:11.500506Z digest=sha256:c645515396313ae2ec26e10042a4f032220e0bfa5c185f0323db388110d4552b

Observation 3c2deb55-de8c-4f39-b5df-9c40c9164dd1 · outbound

This paper cites an unresolved cited work.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization Unresolved cited work

Reference 12

Resolution
malformed identifier
raw_fallback, observed 2026-08-07T10:25:11.624262Z

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=2026-08-07T10:25:11.508830Z digest=sha256:9891d8900f9c7e21836ffdfc6978b92dd2dad2ebc452fd2f39e30d955c0b93c9

Observation d0726a69-b90a-42c6-9cd7-d7bbfe67cd45 · outbound

This paper cites E., and Carlson, D.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization E., and Carlson, D

Reference 2001

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:25:11.660858Z

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=2026-08-07T10:25:11.496134Z digest=sha256:54bb95d134ecb1a55b76756f9635ce73838f6b9326fc57c86d3767233bbbd38b

Observation 1060ae83-094c-430b-8f2f-88b35ff7d4c0 · outbound

This paper cites A unified framework for covariate adjustment under stratified randomization.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization A unified framework for covariate adjustment under stratified randomization

Reference 2008

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:25:11.533894Z

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=2026-08-07T10:25:11.493846Z digest=sha256:97235999b40ebf15a72d1b858ac15a84c1d9754bc90e3944deb655f8f80a4893

Observation 8c05db47-3ad5-4c92-bd56-c46439b6dd2d · outbound

This paper cites and Susmann, H.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization and Susmann, H

Reference 2013

Resolution
verified exact
raw_fallback, observed 2026-08-07T10:25:11.608525Z

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=2026-08-07T10:25:11.485460Z digest=sha256:58399f6149b640b770b94aba56c82c71b3fa72196aa6c9eca6c375b6394af987

Observation 07ec3a7e-5516-4caf-996e-88b05811ccb4 · outbound

This paper cites A General Form of Covariate Adjustment in Randomized Clinical Trials.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization A General Form of Covariate Adjustment in Randomized Clinical Trials

Reference 2014

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T10:25:11.617394Z

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=2026-08-07T10:25:11.412583Z digest=sha256:477398a8de20c105ee9f8c5cb0a2bcc41564561eae20244670d2bcf2ece7364d

Observation 0b9ccdae-e9fc-4b6a-8d6a-9b4408c16751 · outbound

This paper cites Efficient Semiparametric Estimation of Average Treatment Effects Under Covariate Adaptive Randomization.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization Efficient Semiparametric Estimation of Average Treatment Effects Under Covariate Adaptive Randomization

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-07T10:25:11.491234Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:25:11.491234Z digest=sha256:0cca3155ae363c9388ef51f7201875a964ada45209597f4665290b26138284b3

Observation 0ffdaccc-3ef1-4b3b-8e09-e6b19790c5ba · outbound

This paper cites Regression Adjustment for Estimating Distributional Treatment Effects in Randomized Controlled Trials.

On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization Regression Adjustment for Estimating Distributional Treatment Effects in Randomized Controlled Trials

Reference 2023

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:25:11.548040Z

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=2026-08-07T10:25:11.488344Z digest=sha256:abc9a53e044c7f1d59daaf5f1928401c5ae3ffc6caa061d24b2a8359821e7506

Pith citing papers

Observation aca3cce1-6a8c-420a-8ad0-acc5219c4839 · inbound

Efficient and Scalable Estimation of Distributional Treatment Effects with Multi-Task Neural Networks cites this paper.

Efficient and Scalable Estimation of Distributional Treatment Effects with Multi-Task Neural Networks On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-06T18:40:19.989090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T18:40:19.989090Z digest=sha256:f071c304ff2d41ed1af6d3dc3c4074186ebdf936e6e84951b585f917d9c9d763

Observation 02f20771-df6a-4944-a319-d3fd311aaf45 · inbound

Distributional Causal Mediation via Conditional Generative Modeling cites this paper.

Distributional Causal Mediation via Conditional Generative Modeling On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization

Reference 19

Resolution
verified exact
arxiv_id, observed 2026-05-11T16:21:09.452551Z

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=arxiv_source observed=2026-05-09T17:15:39.142939Z digest=sha256:6fbac162f050d18446e3be8b953ce88e88d8486b3707a3f0032139457b58dd72

Observation 19f79470-0c67-4d39-b36b-c594acc663ff · inbound

Distributional Causal Mediation via Conditional Generative Modeling cites this paper.

Distributional Causal Mediation via Conditional Generative Modeling On Efficient Estimation of Distributional Treatment Effects under Covariate-Adaptive Randomization

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-01T00:55:12.185981Z

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=2026-07-01T00:45:48.467504Z digest=sha256:b95dd8eb8ac1e41d51716e59f3d5f877566f71477be41565a938357d2038f285