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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.498244Z digest=sha256:704c1c5a648d9fb5729d5acdce25fb2cb6b2327c149c97d6b7939eb1a8fd9c8c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.506452Z digest=sha256:c0c8c36b5e9db1a777fd18af7da0bb5d3466a90889ef9fa99f29a8f9ef1b6c10

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.502698Z digest=sha256:bf2754bd2ed2c6e12fa5f47eb1e2153f12c4a8c499c4a03224469af3037b645d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.504667Z digest=sha256:5d2dc885b390d20912e09d2881bfdf0a7deb768635f07f28c324fa347134d603

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.500506Z digest=sha256:e2c7bec662ba7840679fc8002d22cbd58ebf3a84fa3d573cd8e72ae4e8259de1

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.508830Z digest=sha256:06d7b4adf044788db45b34fa13756436cbb6ed85edcdce19c0b4c25c4e0c1d48

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.496134Z digest=sha256:89a0bda658e09716e75670133acbb4152a4f8ad746057a152755a2b87496b8b3

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.493846Z digest=sha256:31e3c13f8c1f6a8a2c38bedd01481d97d95c1fcc527ad35de2aa0780c62d7e11

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.485460Z digest=sha256:615d6dc40549a530638f6b5bf9778351113465c355500a2b0eeb63ce697c4564

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.412583Z digest=sha256:6bdda162e2748b11ad794c65549171f8a42e77458ef9c0310e9e2e92bdac4e0c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-07T10:25:11.488344Z digest=sha256:41c14fa4d1ef24f21365d70990d6b51fc9c77611c2bea3c88e924ee5bc51d435

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=sha256:43b1cf67a12b584283f57b8df74f62b05918d95d74bc5937dc81648cef5b89c8

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 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-05-09T17:15:39.142939Z digest=sha256:cdebd7e6246bfc5e4be3bc899d8b5160c6bf8ecb339e71590bae6e7092ebf301

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-07-01T00:45:48.467504Z digest=sha256:bee9d6db217ce5312f22c7c4f68d6d3baee9db71099514c8b5b21a985988963c