Paper Citation Record · LEDGER

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient

As of 12 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2502.04208.

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

pith.paper-citation-record.v1
2502.04208 v2

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T23:19:07.041229Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

15 of 15 outbound references displayed

verified exact0
verified fuzzy7
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 141d05c6-68db-4cf1-8e2c-6695ec4c5618 · outbound

This paper cites Bhowmik and M.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Bhowmik and M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.256319Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c44bae60-d541-4cd9-ab2a-aedfd4649c43 · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.243992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f5451ae9-0a1b-4f33-82ff-ccea309c39cd · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.230834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 72572628-095a-4fb8-8363-a99fbb6a7396 · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.217268Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1782f2be-ee72-4263-bf29-1d3081308cf7 · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.203915Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7c116309-944a-4e4b-991e-814ae406b544 · outbound

This paper cites The numeraire e-variable and reverse information projection.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient The numeraire e-variable and reverse information projection

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T23:19:07.001338Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d96ed6d-1976-4e56-8e80-e1da66d76428 · outbound

This paper cites Lehmann and J.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Lehmann and J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.190880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6e2bd962-816d-406b-a1cc-6f40117c89c2 · outbound

This paper cites Lindon, D.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Lindon, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.178023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 407b4cda-bb46-48e3-95a4-7650ef708a95 · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.164811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 252d833d-a53c-4aae-a4e9-de541720936a · outbound

This paper cites Ramdas, P.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Ramdas, P

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-08T23:19:07.018722Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5645b40a-3306-4e32-b4a5-c99fb08192a5 · outbound

This paper cites Turner, A.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Turner, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.150746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 69d438da-6fe4-439a-a23d-ad27d7b6d9e4 · outbound

This paper cites Schure Ter ter Schure, M.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Schure Ter ter Schure, M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.137626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e27b080-c6a0-4872-8cd5-f0810f9a942d · outbound

This paper cites an unresolved cited work.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-08T23:19:07.124482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 441dfa27-2126-4a7e-b4d0-88beb28b9def · outbound

This paper cites Wang and A.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Wang and A

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.110169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5f182f7a-abea-469c-90dc-2757e3a001b3 · outbound

This paper cites Williams.

Supermartingales for One-Sided Tests: Sufficient Monotone Likelihood Ratios are Sufficient Williams

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T23:19:07.096043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.