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Paper Citation Record · LEDGER

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

As of 8 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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:b1e37aaaedcb5fcd96fcde937afbc6ed8396896d7d3adc17f7656747e21787fa

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:c66e345f5357648e11d7b773309235e950340bfca1108b8f80b44a7e54e1045f

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:8b99f2e91e100ac3e0fb529d576d9e0d74523449ee12dc87a71b2643f837fefe

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:418de87b4331b6f30b75e7654b5b1551f61fca141537c392f8d1a5e5e0f4b0b5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:9733607c60d8d7b1cbcfb673fcda9dc2f9ce95761ab2da31c4971ea76ea0342c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:7fa1624f1a9cb012fa474fe911702f3e2f5294c8c1f66ec21e2940ac0e972a2a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:17a90da3d544d6d8afa91884963ab04ba421999dc808de8a0015e7250ac7fbc8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:8d34c6377949702ba185258f702829007d244a16c04f3fc49b547ebed2dffd42

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:18c6f6ea0a231936c7a500e8807ca5f10ffd66ecb9a2e8157c2d5318e7039a64

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:093e08b6ce6f855134e9ff636effc51ee6e8aeee3c31a84254355b3cc53aef3c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:bcfc948365ac6142498eedbc794ea0ca8154400d0855acf5ae826503a5a026e8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:b34b4193d0bec08cf6af037d61b09942e5ad643e3deb33cea81a757bde152637

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-05-23T03:02:15.652526Z digest=sha256:7233c57edf6fdeea786837fe99391eb957aac8cb54241d0fd22265b2323427a2

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.

source=pdf_text observed=2026-07-14T07:16:58.614647Z digest=sha256:a84bc0a7437672edebfbbc19b47ebfd074ae472c786ea4958bdbe0357745e8e4