Paper Citation Record · LEDGER

Adjusting auxiliary variables under approximate neighborhood interference

As of 14 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations for arXiv:2411.19789.

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

pith.paper-citation-record.v1
2411.19789 v1

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T05:59:01.630453Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T17:08:24.954748Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T19:51:49.323957Z

Reference resolution

13 of 13 outbound references displayed

verified exact0
verified fuzzy11
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 138b4b45-0cf1-4835-ae18-d4fec3236b33 · outbound

This paper cites an unresolved cited work.

Adjusting auxiliary variables under approximate neighborhood interference Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T05:59:02.052708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 402169b2-bfca-4e3b-8db2-8c402e591ec2 · outbound

This paper cites For ease of notation, we write ˜Gi ≡ ϕ(Gi).

Adjusting auxiliary variables under approximate neighborhood interference For ease of notation, we write ˜Gi ≡ ϕ(Gi)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:02.001302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d5cd8a5b-4e81-4152-888f-82f8ffb4f399 · outbound

This paper cites Define 1 HT(t) = n−1 Pn i=1 1(T i = t)/πi(t).

Adjusting auxiliary variables under approximate neighborhood interference Define 1 HT(t) = n−1 Pn i=1 1(T i = t)/πi(t)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:02.022350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c6197a6c-84d9-4c43-8dca-752700e0e93a · outbound

This paper cites For ˆσ2 Haj(β), define ˆV ⋆, ˜G,i and V ⋆, ˜G,i analogously as ˆV⋆,i and V⋆,i, with Yi replaced with ˜Gi.

Adjusting auxiliary variables under approximate neighborhood interference For ˆσ2 Haj(β), define ˆV ⋆, ˜G,i and V ⋆, ˜G,i analogously as ˆV⋆,i and V⋆,i, with Yi replaced with ˜Gi

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.980015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6dfee9bc-69e0-424f-87a4-a8cbbc1f3efd · outbound

This paper cites We define ψ-dependence in line with Definition 2.2 of Kojevnikov et al.

Adjusting auxiliary variables under approximate neighborhood interference We define ψ-dependence in line with Definition 2.2 of Kojevnikov et al

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.960110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e68e3fb2-826b-4e9a-922c-0ffae98028e4 · outbound

This paper cites There- fore, we omit it.

Adjusting auxiliary variables under approximate neighborhood interference There- fore, we omit it

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.941331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f2838ecd-c962-4c27-8d30-5ac8b06185ef · outbound

This paper cites We see that ˆβ⋆,ND = n−1 nX i=1 nX j=1 Bij ˆV ⋆,ϕ(G),i ˆV ⊤ ⋆,ϕ(G),j −1 n−1 nX i=1 nX j=1 Bij ˆV ⋆,ϕ(G),i ˆV⋆,j.

Adjusting auxiliary variables under approximate neighborhood interference We see that ˆβ⋆,ND = n−1 nX i=1 nX j=1 Bij ˆV ⋆,ϕ(G),i ˆV ⊤ ⋆,ϕ(G),j −1 n−1 nX i=1 nX j=1 Bij ˆV ⋆,ϕ(G),i ˆV⋆,j

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.921669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c572b532-b8d3-4e70-9bdc-3306b6a60b2a · outbound

This paper cites Similar as the proof of (Leung, 2022, Theorem 4), we have n−1 nX i=1 nX i=1 (Wiq1 − EWiq1)EWjq2Bij = oP(1).

Adjusting auxiliary variables under approximate neighborhood interference Similar as the proof of (Leung, 2022, Theorem 4), we have n−1 nX i=1 nX i=1 (Wiq1 − EWiq1)EWjq2Bij = oP(1)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.900038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a57aa6a0-15b9-4d5e-b363-4c21d2a5e974 · outbound

This paper cites 41 In light of the above, applying (Leung, 2022, Theorem.

Adjusting auxiliary variables under approximate neighborhood interference 41 In light of the above, applying (Leung, 2022, Theorem

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.881334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 7bdbe3f5-7db0-4523-a9f0-7b09c42a6c7a · outbound

This paper cites Applying (Leung, 2022, Theorem.

Adjusting auxiliary variables under approximate neighborhood interference Applying (Leung, 2022, Theorem

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.862887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 06b5ff50-feba-448b-a839-18af4cc58b6c · outbound

This paper cites As a consequence, we have n1/2(ˆτHaj( ˆβHaj,ND) − τ )/σHaj( ˜βHaj,ND) d − → N(0, 1).

Adjusting auxiliary variables under approximate neighborhood interference As a consequence, we have n1/2(ˆτHaj( ˆβHaj,ND) − τ )/σHaj( ˜βHaj,ND) d − → N(0, 1)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.844169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f40b3e2e-868b-46ac-811d-ed268e3125cd · outbound

This paper cites ND-F , ND-L.

Adjusting auxiliary variables under approximate neighborhood interference ND-F , ND-L

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T05:59:01.826471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b463f26e-08d6-4128-91b5-45fff3d771ea · outbound

This paper cites Causal inference in network experiments: regression-based analysis and design-based properties.

Adjusting auxiliary variables under approximate neighborhood interference Causal inference in network experiments: regression-based analysis and design-based properties

Reference 1947

Resolution: unresolved; no resolver link, observed 2026-08-12T05:59:01.571271Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 07e06c5f-7f41-4aa6-8e79-53f4c512d382 · inbound

Causal Inference under Interference: Regression Adjustment and Optimality cites this paper.

Causal Inference under Interference: Regression Adjustment and Optimality Adjusting auxiliary variables under approximate neighborhood interference

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-08T17:08:24.954748Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0681be47-70f8-4355-b0f7-870f879f6f0e · inbound

Covariate Adjustment Cannot Hurt: Treatment Effect Estimation under Interference with Low-Order Outcome Interactions cites this paper.

Covariate Adjustment Cannot Hurt: Treatment Effect Estimation under Interference with Low-Order Outcome Interactions Adjusting auxiliary variables under approximate neighborhood interference

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-18T19:51:49.326777Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.