Pith Number

pith:QRTEIOP2

pith:2016:QRTEIOP2FPRBMJE4HXXYLTXR43

not attested not anchored not stored refs pending

Moments of quantum L\'evy areas using sticky shuffle Hopf algebras

Robin Hudson, Uwe Schauz, Yue Wu

arxiv:1605.00730 v2 · 2016-05-03 · 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{QRTEIOP2FPRBMJE4HXXYLTXR43}

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	2026-05-18T01:12:16.554434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84664439fa2be216249c3def85cef1e6ea270fa7e719857f61728389a9b04aa4

Aliases

arxiv: 1605.00730 · arxiv_version: 1605.00730v2 · doi: 10.48550/arxiv.1605.00730 · pith_short_12: QRTEIOP2FPRB · pith_short_16: QRTEIOP2FPRBMJE4 · pith_short_8: QRTEIOP2

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/QRTEIOP2FPRBMJE4HXXYLTXR43 \
  | 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: 84664439fa2be216249c3def85cef1e6ea270fa7e719857f61728389a9b04aa4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5825d811232788bc9fa9511b5add008ba88e3828e724791f8a15798686f088d3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-05-03T02:07:35Z",
    "title_canon_sha256": "a280b94532d1b9855216764cca9acb6d5c4802bb4c0f286150566c6e4d9e0a81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.00730",
    "kind": "arxiv",
    "version": 2
  }
}