Pith Number

pith:EXG6KLIY

pith:2019:EXG6KLIY6SVF52C5BJKOAFAVD6

not attested not anchored not stored refs pending

Bounds for Lacunary maximal functions given by Birch--Magyar averages

Brian Cook, Kevin Hughes

arxiv:1905.09189 v1 · 2019-05-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EXG6KLIY6SVF52C5BJKOAFAVD6}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:45:21.681882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

25cde52d18f4aa5ee85d0a54e014151fba0db459eacde0e851da7243b0152f74

Aliases

arxiv: 1905.09189 · arxiv_version: 1905.09189v1 · doi: 10.48550/arxiv.1905.09189 · pith_short_12: EXG6KLIY6SVF · pith_short_16: EXG6KLIY6SVF52C5 · pith_short_8: EXG6KLIY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EXG6KLIY6SVF52C5BJKOAFAVD6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 25cde52d18f4aa5ee85d0a54e014151fba0db459eacde0e851da7243b0152f74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb9b95063203d9193bdd453ea46e55ceca1ba1d538b6e76633ce109958825dd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-05-22T15:17:44Z",
    "title_canon_sha256": "580e7b3bace17645f56feea57af04308312e9011d593a61cf1474fbb06a7b6a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.09189",
    "kind": "arxiv",
    "version": 1
  }
}