Paper Citation Record · LEDGER

Adaptive sample splitting for randomization tests

As of 19 August 2026, this Paper Citation Record lists 17 of 17 outbound references and 0 inbound Pith citation observations for arXiv:2504.21572.

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

pith.paper-citation-record.v1
2504.21572 v2

Coverage vector

measured 17 of 17 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:11:27.421209Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

17 of 17 outbound references displayed

verified exact0
verified fuzzy8
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1e59bc0c-4e31-4aa7-99e1-b38e661eaedf · outbound

This paper cites Leta,b∈ Rm with bi > 0 for alli, and let B∈ (0,Pm i=1bi].

Adaptive sample splitting for randomization tests Leta,b∈ Rm with bi > 0 for alli, and let B∈ (0,Pm i=1bi]

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.353451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation dcb91e0c-8647-4f10-8e0f-ae74411342bf · outbound

This paper cites Taking an expectation of both sides of the model conditional onXi, µ(Xi) = E[Yi|Xi] =µ0(Xi) +e(Xi)τ(Xi).

Adaptive sample splitting for randomization tests Taking an expectation of both sides of the model conditional onXi, µ(Xi) = E[Yi|Xi] =µ0(Xi) +e(Xi)τ(Xi)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.497900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bca522a2-f2e4-4050-84e6-dc07a3cda2f8 · outbound

This paper cites Conditional onX[n],Y [n] and ZI, the remaining randomness in thep-value comes from the observed treatment assignmentsZJk in the summationAk defined above.

Adaptive sample splitting for randomization tests Conditional onX[n],Y [n] and ZI, the remaining randomness in thep-value comes from the observed treatment assignmentsZJk in the summationAk defined above

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.384643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5735160-b0c6-40f7-be86-8b120ec15f6a · outbound

This paper cites an unresolved cited work.

Adaptive sample splitting for randomization tests Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:11:28.683679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation be9cc89c-b587-4c74-a773-8943580b5a00 · outbound

This paper cites Active Learning for Convolutional Neural Networks: A Core-Set Approach.

Adaptive sample splitting for randomization tests Active Learning for Convolutional Neural Networks: A Core-Set Approach

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.197666Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 25074a0d-8b9a-48e0-a4e7-84796e018d98 · outbound

This paper cites (22) Let Ui := E[Xiϵi|Xi,Bi].

Adaptive sample splitting for randomization tests (22) Let Ui := E[Xiϵi|Xi,Bi]

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.549320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c782e1c-3e59-426f-b46f-509ef28fc9b9 · outbound

This paper cites [2010], we have sup t∈R P ˜ZJk n ˜V−1/2 k ˜Ak≤t o − Φ(t) ≤ C ˜V 3/2 k X j∈Jk ˆW 3 j E ˜Zj n | ˜Zj−e(Xj)|3 o =OP 1/ p |Jk|.

Adaptive sample splitting for randomization tests [2010], we have sup t∈R P ˜ZJk n ˜V−1/2 k ˜Ak≤t o − Φ(t) ≤ C ˜V 3/2 k X j∈Jk ˆW 3 j E ˜Zj n | ˜Zj−e(Xj)|3 o =OP 1/ p |Jk|

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.427721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b49f6130-488b-4d28-9227-f9bd6b9abae9 · outbound

This paper cites an unresolved cited work.

Adaptive sample splitting for randomization tests Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:11:28.269639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2df858d-1f70-430f-add5-b051117d7f93 · outbound

This paper cites B.8 Proof of Proposition 6 Proof.

Adaptive sample splitting for randomization tests B.8 Proof of Proposition 6 Proof

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.197625Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 933f15b2-e8bf-4f44-8612-b8d94b7fdc59 · outbound

This paper cites 43 C Additional simulations C.1 Details of Figure 3 To generate Figure 3, we simulate a sample ofn = 200 i.i.d.

Adaptive sample splitting for randomization tests 43 C Additional simulations C.1 Details of Figure 3 To generate Figure 3, we simulate a sample ofn = 200 i.i.d

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.148771Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8d77cb03-d418-4582-b93b-5be36b42f36f · outbound

This paper cites Prepivoted permutation tests.

Adaptive sample splitting for randomization tests Prepivoted permutation tests

Reference 1935

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.091578Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d30d005-99f0-45fb-8cf4-268c7371b80e · outbound

This paper cites Submodularity in data subset selection and active learning.

Adaptive sample splitting for randomization tests Submodularity in data subset selection and active learning

Reference 1964

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:11:28.607004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f35b4477-605a-453f-bbf7-24dd70d63c2c · outbound

This paper cites Statistical Performance Guarantee for Subgroup Identification with Generic Machine Learning.

Adaptive sample splitting for randomization tests Statistical Performance Guarantee for Subgroup Identification with Generic Machine Learning

Reference 2006

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.127487Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1481f70b-79f3-4298-8b7d-86666fbd8518 · outbound

This paper cites Enhanced inference for distributions and quantiles of individual treatment effects in various experiments.arXiv preprint arXiv:2407.13261,.

Adaptive sample splitting for randomization tests Enhanced inference for distributions and quantiles of individual treatment effects in various experiments.arXiv preprint arXiv:2407.13261,

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.072550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 30f2b480-ebaf-4a76-a56c-f3d08eebe012 · outbound

This paper cites an unresolved cited work.

Adaptive sample splitting for randomization tests Unresolved cited work

Reference 2018

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:11:28.238932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 773aa0d6-9cfa-416d-abf9-3e6b14f47984 · outbound

This paper cites Deep Batch Active Learning by Diverse, Uncertain Gradient Lower Bounds.

Adaptive sample splitting for randomization tests Deep Batch Active Learning by Diverse, Uncertain Gradient Lower Bounds

Reference 2021

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.044683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0c43b16d-c201-4b98-b7fa-de924ab70770 · outbound

This paper cites ML-assisted Randomization Tests for Detecting Treatment Effects in A/B Experiments.

Adaptive sample splitting for randomization tests ML-assisted Randomization Tests for Detecting Treatment Effects in A/B Experiments

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-16T05:11:27.099807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.