Pith Number

pith:W6VUSDU2

pith:2018:W6VUSDU232E7GV2NIWFZIDH7J5

not attested not anchored not stored refs pending

Sparse domination and the strong maximal function

Alex Barron, Guillermo Rey, Jose M. Conde-Alonso, Yumeng Ou

arxiv:1811.01243 v1 · 2018-11-03 · 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{W6VUSDU232E7GV2NIWFZIDH7J5}

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	2026-05-18T00:01:34.858781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b7ab490e9ade89f3574d458b940cff4f62b623b58d2c0ac1492f866d6b3842bc

Aliases

arxiv: 1811.01243 · arxiv_version: 1811.01243v1 · doi: 10.48550/arxiv.1811.01243 · pith_short_12: W6VUSDU232E7 · pith_short_16: W6VUSDU232E7GV2N · pith_short_8: W6VUSDU2

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/W6VUSDU232E7GV2NIWFZIDH7J5 \
  | 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: b7ab490e9ade89f3574d458b940cff4f62b623b58d2c0ac1492f866d6b3842bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dc751ff53a21dfe4cf2919c8ce791f9ae3175b290ac859cec0825c6d020c0e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-11-03T16:24:02Z",
    "title_canon_sha256": "f9bcfb043bff0932c450b1adb2e98b48ce7039fb15596047e99e933924538365"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.01243",
    "kind": "arxiv",
    "version": 1
  }
}