Paper Citation Record · LEDGER

Further remarks on fractional vs. expectation thresholds

As of 8 August 2026, this Paper Citation Record lists 8 of 8 outbound references and 0 inbound Pith citation observations for arXiv:2505.21782.

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

pith.paper-citation-record.v1
2505.21782 v1

Coverage vector

measured 8 of 8 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:46:10.645596Z

measured 8 of 8 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

8 of 8 outbound references displayed

verified exact5
verified fuzzy2
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3ea210e8-b3d7-4a60-804b-f5bbd754ade1 · outbound

This paper cites DeMarco and J.

Further remarks on fractional vs. expectation thresholds DeMarco and J

Reference 1

Resolution: verified exact; doi, observed 2026-08-07T13:46:10.778641Z

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 b49ed57d-9248-4f44-a620-5549231eabcb · outbound

This paper cites Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds.

Further remarks on fractional vs. expectation thresholds Note on a conjecture of Talagrand: expectation thresholds vs. fractional expectation thresholds

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:46:11.406343Z

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 ffd6f427-9ba4-4eb1-bbdd-8d8e2ce75fb4 · outbound

This paper cites Some results on fractional vs. expectation thresholds.

Further remarks on fractional vs. expectation thresholds Some results on fractional vs. expectation thresholds

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:46:11.313760Z

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 f22a4096-38ae-40ea-90f2-9ebe335a319b · outbound

This paper cites Frankston, J.

Further remarks on fractional vs. expectation thresholds Frankston, J

Reference 4

Resolution: verified exact; doi, observed 2026-08-07T13:46:10.708030Z

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 3c1ae33c-c2c3-406f-93b6-355887696377 · outbound

This paper cites Kahn and G.

Further remarks on fractional vs. expectation thresholds Kahn and G

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:11.613779Z

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 df1bf66c-9f68-4219-b8b5-190fe08b20d8 · outbound

This paper cites Park and H.

Further remarks on fractional vs. expectation thresholds Park and H

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:46:11.556132Z

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 59819bd9-314f-403a-94ce-c66287d7141b · outbound

This paper cites A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers.

Further remarks on fractional vs. expectation thresholds A sharp version of Talagrand's selector process conjecture and an application to rounding fractional covers

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:46:11.187505Z

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 b5a0acf6-e44f-441a-b390-ad4a1c4fc245 · outbound

This paper cites Talagrand, Are many small sets explicitly small? Proceedings of the 42nd annual ACM symposium on theory of computing, STOC ’10.

Further remarks on fractional vs. expectation thresholds Talagrand, Are many small sets explicitly small? Proceedings of the 42nd annual ACM symposium on theory of computing, STOC ’10

Reference 8

Resolution: metadata mismatch; raw_fallback, observed 2026-08-07T13:46:11.093565Z

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.

Pith citing papers

No inbound Pith citation observations are available.