Paper Citation Record · LEDGER

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information

As of 9 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2607.04957.

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

pith.paper-citation-record.v1
2607.04957 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T10:55:42.298555Z

measured 12 of 12 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 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

12 of 12 outbound references displayed

verified exact0
verified fuzzy0
unresolved11
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b1c7a9e1-bf2a-4982-9b9a-79960ab40381 · outbound

This paper cites an unresolved cited work.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53a8c703-69f6-4135-8868-93772afdb949 · outbound

This paper cites (42) Therefore2 √ 3−2≤ µ(2) ≤4.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information (42) Therefore2 √ 3−2≤ µ(2) ≤4

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8c5d043-ac46-4aad-9e33-982cca202f4d · outbound

This paper cites Counterexample for sharpness of the bound(20).

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Counterexample for sharpness of the bound(20)

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8da5f2ed-80a3-4205-8572-4bacec941ef2 · outbound

This paper cites The case( σ(3) 1 , σ(3) 0 )and( σ(4) 1 , σ(4) 0 )are available.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information The case( σ(3) 1 , σ(3) 0 )and( σ(4) 1 , σ(4) 0 )are available

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cee17dbf-33e0-420d-ab96-49bd57871c87 · outbound

This paper cites The case( σ(2) 1 , σ(2) 0 ),( σ(3) 1 , σ(3) 0 )and( σ(4) 1 , σ(4) 0 )are available.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information The case( σ(2) 1 , σ(2) 0 ),( σ(3) 1 , σ(3) 0 )and( σ(4) 1 , σ(4) 0 )are available

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6426dcdd-7fc8-4821-bbac-6bdb53a58d7a · outbound

This paper cites Counterexample for sharpness of the bound(31).

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Counterexample for sharpness of the bound(31)

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e1f60349-84c8-4ea3-b569-9699881a2a7d · outbound

This paper cites Therefore, we have eY 2 1 =c almost surely for some c∈R , and we obtain c= 1 since σ(2) 1 = 1.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Therefore, we have eY 2 1 =c almost surely for some c∈R , and we obtain c= 1 since σ(2) 1 = 1

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93ae6cf6-2527-452f-b110-df6b4eee9fd8 · outbound

This paper cites an unresolved cited work.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c15712b2-cfee-4c1a-a9c8-ba2b3c973cb7 · outbound

This paper cites Also, (32) coincides with (30), so (32) is not sharp either.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Also, (32) coincides with (30), so (32) is not sharp either

Reference 9

Resolution: malformed identifier; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17f45ebc-49f1-4365-919b-5971f9a007c4 · outbound

This paper cites If σ(3) 0 ̸= 0, let U be a random variable E[U] = 0, E[U2] =η −2/3, and E[U3] = σ(3) 0 /η (Lemma 5).

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information If σ(3) 0 ̸= 0, let U be a random variable E[U] = 0, E[U2] =η −2/3, and E[U3] = σ(3) 0 /η (Lemma 5)

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 198c48c0-c24e-4e26-a490-91e627777752 · outbound

This paper cites In addition, we have µ(4) =E[ e∆4] = (1−2η)(c 1 −c 0)4 +ηE[H 4].(112) If σ(3) 0 ̸= 0, thenηE[U 2] =η 1/3, while if σ(3) 0 = 0, thenηE[U 2] = 0.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information In addition, we have µ(4) =E[ e∆4] = (1−2η)(c 1 −c 0)4 +ηE[H 4].(112) If σ(3) 0 ̸= 0, thenηE[U 2] =η 1/3, while if σ(3) 0 = 0, thenηE[U 2] = 0

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6c8b88fc-3a2c-41ac-9841-fb274d8a416a · outbound

This paper cites Replacing ZA by −ZA yields µ(m) <−M.

Identification and Bounding of Central Moments of Causal Effects Using Marginal Moments Information Replacing ZA by −ZA yields µ(m) <−M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-11T10:55:42.298555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.