Paper Citation Record · LEDGER

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets

As of 11 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2502.16045.

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

pith.paper-citation-record.v1
2502.16045 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-23T03:02:15.652526Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T07:16:58.614647Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact1
verified fuzzy8
unresolved2
parse uncertain1
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 96533371-b177-421d-8302-8d393f32cb4a · outbound

This paper cites Burkholder, B.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Burkholder, B

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.226588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e685ecf2-1b21-4367-bd9a-e425cb9e7de9 · outbound

This paper cites Burkholder, R.F.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Burkholder, R.F

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.211198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8a5ad28c-8905-4eff-86c4-2c264ad853ac · outbound

This paper cites Sharp isoperimetric inequalities on the Hamming cube near the critical exponent.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Sharp isoperimetric inequalities on the Hamming cube near the critical exponent

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-05-23T03:02:26.920690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c899a851-f16c-4845-842c-cd517f19fbe3 · outbound

This paper cites On sharp isoperimetric inequalities on the hypercube.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets On sharp isoperimetric inequalities on the hypercube

Reference 4

Resolution: metadata mismatch; arxiv_id, observed 2026-05-23T03:02:26.914685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b6f24662-8ad6-4cf2-9a82-77b8bb91458b · outbound

This paper cites Wang, Sharp Square-Function Inequalities for Conditionally Symmetric Martin- gales, TAMS Vol.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Wang, Sharp Square-Function Inequalities for Conditionally Symmetric Martin- gales, TAMS Vol

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.196396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ed088257-4c0e-47f4-acec-39decc325809 · outbound

This paper cites Wang, Sharp inequalities for the conditional square function of a martingale , The Annals of Probability 1991, Vol.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Wang, Sharp inequalities for the conditional square function of a martingale , The Annals of Probability 1991, Vol

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.207722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1b3875e1-aa92-40e0-a005-8e4bd91e8a6e · outbound

This paper cites On the L p norms of stochastic integrals and other martingales , Duke Mathematical Jurnal Vol.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets On the L p norms of stochastic integrals and other martingales , Duke Mathematical Jurnal Vol

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.222820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fd5ffeb8-c59d-4962-bb7c-e58b5d3052a6 · outbound

This paper cites Hytönen, J.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Hytönen, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.203801Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 01bc11b9-1f63-42fc-ad6a-e7f7a26a02b7 · outbound

This paper cites an unresolved cited work.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Unresolved cited work

Reference 9

Resolution: parse uncertain; raw_fallback, observed 2026-05-23T03:02:27.218559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8324e8d6-6768-4f65-b6a7-89738d46f257 · outbound

This paper cites The Annals of Probability 25.1 (1997): 206-214.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets The Annals of Probability 25.1 (1997): 206-214

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.200135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 44cbf062-f6c0-4341-bb90-3c0627ea1d02 · outbound

This paper cites (2012).Sharp martingale and semimartingale inequalities.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets (2012).Sharp martingale and semimartingale inequalities

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-23T03:02:27.215110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ca7f2765-88fc-42bc-9a7f-48a6b4d28d33 · outbound

This paper cites an unresolved cited work.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-05-23T03:02:27.192067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 13c77e85-4a1c-46c8-93fa-9c93c726ee29 · outbound

This paper cites an unresolved cited work.

Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-23T03:02:27.187813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 00d978ed-347b-4757-a93a-78ec76c09fb1 · inbound

Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds cites this paper.

Sharp Ternary Martingale Isoperimetry and $n$-adic Takagi-Type Lower Bounds Sharp Lower Bounds for Dyadic Square Functions of indicator functions of sets

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T07:16:58.614647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.