Paper Citation Record · LEDGER

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control

As of 8 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2506.01452.

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

pith.paper-citation-record.v1
2506.01452 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:48:27.899075Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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 fuzzy9
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 61742080-893f-464d-a894-0d194868b528 · outbound

This paper cites Thus, we finish the whole proof.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Thus, we finish the whole proof

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:29.934495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 46b14ab0-e8f7-4657-99ce-46cba433504b · outbound

This paper cites P j∈H0(t) δj Rt ∨ 1 # = E   P j∈H0(t) 1 n ej ≥ 1 αj o Rt ∨ 1   = E   X j∈H0(t) E   1 n 1 ej ≤ αj o Rt ∨ 1 | Fj−1     (i) ≤E   X j∈H0(t) E αj Rt ∨ 1 | Fj−1   = E.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control P j∈H0(t) δj Rt ∨ 1 # = E   P j∈H0(t) 1 n ej ≥ 1 αj o Rt ∨ 1   = E   X j∈H0(t) E   1 n 1 ej ≤ αj o Rt ∨ 1 | Fj−1     (i) ≤E   X j∈H0(t) E αj Rt ∨ 1 | Fj−1   = E

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:29.508247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d017e40f-fcce-4f33-8a6f-01f870b0f34f · outbound

This paper cites an unresolved cited work.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:48:29.337628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 222da21d-3291-4aef-93cb-e7b82273d749 · outbound

This paper cites However, the conclusion on the equivalence between e-SAFFRON and SAFFRON differs from that between e-LORD and LORD++.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control However, the conclusion on the equivalence between e-SAFFRON and SAFFRON differs from that between e-LORD and LORD++

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:28.971435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3fb432ff-4b9b-4dd6-9fb9-80d6ba6f49f8 · outbound

This paper cites The situation changes when the independent p-values are available.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control The situation changes when the independent p-values are available

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:28.778886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a7127323-942f-4d74-bb23-8a72754f9ba0 · outbound

This paper cites an unresolved cited work.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:48:28.588282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c84060f2-44b5-4625-95b0-5b726c2318ea · outbound

This paper cites Note that an e-value et can be naturally transformed into a p-value pt by pt = min{1/et, 1}.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Note that an e-value et can be naturally transformed into a p-value pt by pt = min{1/et, 1}

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:28.418120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6dfc5e67-8045-4e73-a290-28e1021389bd · outbound

This paper cites All procedures maintain FDR control.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control All procedures maintain FDR control

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:28.285129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1f91d76-57ea-41b5-a749-9e4677f435d9 · outbound

This paper cites an unresolved cited work.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T11:48:28.084227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aa330317-2898-4f44-9699-cb490ce81fa5 · outbound

This paper cites Therefore, LORD++ can be included within the e-GAI framework.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control Therefore, LORD++ can be included within the e-GAI framework

Reference 2017

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:29.119440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e397d1d8-ac14-4c3b-b085-ff57dece4890 · outbound

This paper cites and Ahmad, S.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control and Ahmad, S

Reference 2018

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:30.081755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1dc838e2-69f6-44d7-a1d4-268f1af01bc1 · outbound

This paper cites , pt) ∈ I | pj = u, Fj−1) is non-decreasing in u.

e-GAI: e-value-based Generalized $\alpha$-Investing for Online False Discovery Rate Control , pt) ∈ I | pj = u, Fj−1) is non-decreasing in u

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T11:48:29.664503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.