Paper Citation Record · LEDGER

Normal approximations in nonparametric empirical Bayes

As of 8 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2605.31599.

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

pith.paper-citation-record.v1
2605.31599 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T19:52:13.480300Z

measured 17 of 17 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-12T01:18:19.788870Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact3
verified fuzzy0
unresolved12
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d8ce1b58-5527-4eb2-b27a-295fb958fad6 · outbound

This paper cites an unresolved cited work.

Normal approximations in nonparametric empirical Bayes Unresolved cited work

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-06-28T19:52:34.981722Z

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.

Observation 1547e1e1-86d3-473b-99e2-336c5af4af69 · outbound

This paper cites Gradient flows for empirical Bayes in high-dimensional linear models.

Normal approximations in nonparametric empirical Bayes Gradient flows for empirical Bayes in high-dimensional linear models

Reference 2

Resolution: metadata mismatch; arxiv_id, observed 2026-08-04T02:07:52.808868Z

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.

Observation 40bbd3f2-b624-43b7-8a49-f79ba9ff999a · outbound

This paper cites Confidence intervals for nonparametric empirical Bayes analysis.

Normal approximations in nonparametric empirical Bayes Confidence intervals for nonparametric empirical Bayes analysis

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d116861e-fa1c-4a82-baeb-bdac48fe244c · outbound

This paper cites Empirical Bayes Estimation and Inference via Smooth Nonparametric Maximum Likelihood.

Normal approximations in nonparametric empirical Bayes Empirical Bayes Estimation and Inference via Smooth Nonparametric Maximum Likelihood

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-06-28T19:52:34.974296Z

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.

Observation 46872835-8273-4fd9-a0d7-a77c11ed0644 · outbound

This paper cites Poverty Targeting with Imperfect Information.

Normal approximations in nonparametric empirical Bayes Poverty Targeting with Imperfect Information

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-06-28T19:52:34.978827Z

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.

Observation 1c943f08-546f-4265-a7e3-af443d2dff49 · outbound

This paper cites In particular, ∥X ′ n,t∥∞ ≤ 1 2t p log(n) ∥ψ′∥∞ and∥X ′′ n,t∥∞ ≤ 1 4t2 log (n)∥ψ′′∥∞.

Normal approximations in nonparametric empirical Bayes In particular, ∥X ′ n,t∥∞ ≤ 1 2t p log(n) ∥ψ′∥∞ and∥X ′′ n,t∥∞ ≤ 1 4t2 log (n)∥ψ′′∥∞

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dab4999-949c-4340-813d-788d0a5fa9ec · outbound

This paper cites Note that for anyf π,·(·)∈ F ℓ(t), by the definition of a covering set, we have the existence of somejsuch that∥f π,· −f πj ,·∥∞, ˜Sn,t ≤η.

Normal approximations in nonparametric empirical Bayes Note that for anyf π,·(·)∈ F ℓ(t), by the definition of a covering set, we have the existence of somejsuch that∥f π,· −f πj ,·∥∞, ˜Sn,t ≤η

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81baa611-e3fd-4396-a4b1-987d1df607d0 · outbound

This paper cites an unresolved cited work.

Normal approximations in nonparametric empirical Bayes Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 451998d3-3c82-4124-a6d5-0cc989916f8a · outbound

This paper cites Bounds for the usual Kullback-Leibler variation have been studied extensively (see Wong and Shen (1995); Kaji (2026)).

Normal approximations in nonparametric empirical Bayes Bounds for the usual Kullback-Leibler variation have been studied extensively (see Wong and Shen (1995); Kaji (2026))

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 944a0c26-27c6-4ecd-a492-543876a4fa74 · outbound

This paper cites an unresolved cited work.

Normal approximations in nonparametric empirical Bayes Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 43f31379-1675-40f1-83c8-22151c63d82a · outbound

This paper cites We present a version tailored to the setting of our paper.

Normal approximations in nonparametric empirical Bayes We present a version tailored to the setting of our paper

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8dee63e-b2fd-4a87-a981-32eb815457cb · outbound

This paper cites (A.30) Let us bound the terms inside the square root.

Normal approximations in nonparametric empirical Bayes (A.30) Let us bound the terms inside the square root

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e54aebb6-c9ed-4aa3-99fd-8e696e09b1f1 · outbound

This paper cites Factoring the Gaussian kernel, ϕσ(x−θ) = 1√ 2π σ exp − x2 2σ2 exp xθ σ2 exp − θ2 2σ2 , so thatf π,σ(x) = 1√ 2π σ e−x2/(2σ2)fM(x/σ 2), where fM(t) := R etθ d˜π(θ).

Normal approximations in nonparametric empirical Bayes Factoring the Gaussian kernel, ϕσ(x−θ) = 1√ 2π σ exp − x2 2σ2 exp xθ σ2 exp − θ2 2σ2 , so thatf π,σ(x) = 1√ 2π σ e−x2/(2σ2)fM(x/σ 2), where fM(t) := R etθ d˜π(θ)

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 685303b5-676e-4c37-b652-fa3d395c9c9c · outbound

This paper cites 1 n nX i=1 f ′ i(Xi)2 # →0 (C.9) asn→ ∞. The last limit follows from the fact thatn −1∥Σn∥op →0 and E.

Normal approximations in nonparametric empirical Bayes 1 n nX i=1 f ′ i(Xi)2 # →0 (C.9) asn→ ∞. The last limit follows from the fact thatn −1∥Σn∥op →0 and E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59aa388d-0a04-4763-800d-76b7ef7eb5bd · outbound

This paper cites Next we note that log(x)≤2( √x−1) forx≥0.

Normal approximations in nonparametric empirical Bayes Next we note that log(x)≤2( √x−1) forx≥0

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3d8074e7-e22f-4d66-b510-6d4a5660c0bd · outbound

This paper cites The normality assumption forz f can be justified by an asymptotic approximation with a growing number of jobs sampled for each firm.

Normal approximations in nonparametric empirical Bayes The normality assumption forz f can be justified by an asymptotic approximation with a growing number of jobs sampled for each firm

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-28T19:52:13.480300Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 8941952d-0ae9-4189-9154-16dd02a7fe93 · inbound

Empirical Bayes for correlated Gaussian sequence model cites this paper.

Empirical Bayes for correlated Gaussian sequence model Normal approximations in nonparametric empirical Bayes

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-12T01:18:19.788870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.