Pith Number

pith:JYIJ3ECO

pith:2016:JYIJ3ECOMFRVJDR2DFKRVC2T47

not attested not anchored not stored refs pending

The Moments of L\'evy's area using a sticky shuffle Hopf algebra

Robin Hudson, Uwe Schauz, Wu Yue

arxiv:1606.06010 v2 · 2016-06-20 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYIJ3ECOMFRVJDR2DFKRVC2T47}

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	2026-05-18T01:11:34.815479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e109d904e6163548e3a19551a8b53e7c816721b3987d68506edab881771deca

Aliases

arxiv: 1606.06010 · arxiv_version: 1606.06010v2 · doi: 10.48550/arxiv.1606.06010 · pith_short_12: JYIJ3ECOMFRV · pith_short_16: JYIJ3ECOMFRVJDR2 · pith_short_8: JYIJ3ECO

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/JYIJ3ECOMFRVJDR2DFKRVC2T47 \
  | 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: 4e109d904e6163548e3a19551a8b53e7c816721b3987d68506edab881771deca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "24225f835004dc1e52b618be56194ef3ad2b25326ee9274c90652bf021f46eb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-06-20T08:36:26Z",
    "title_canon_sha256": "0c001f0f2cf35454631e60b8f5154e8083e1c1d5c5eb3f9d37c6201eb704c807"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06010",
    "kind": "arxiv",
    "version": 2
  }
}