Pith Number

pith:7SYUWMIB

pith:2013:7SYUWMIBEIM5DWHJH3FUWE34VX

not attested not anchored not stored refs pending

Levy Processes and Quasi-Shuffle Algebras

Anke Wiese, Charles Curry, Kurusch Ebrahimi-Fard, Simon J.A. Malham

arxiv:1311.1683 v2 · 2013-11-07 · 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{7SYUWMIBEIM5DWHJH3FUWE34VX}

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	2026-05-18T02:23:35.298230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcb14b31012219d1d8e93ecb4b137cadc0b67750d9b939051bb37014fd87f1b7

Aliases

arxiv: 1311.1683 · arxiv_version: 1311.1683v2 · doi: 10.48550/arxiv.1311.1683 · pith_short_12: 7SYUWMIBEIM5 · pith_short_16: 7SYUWMIBEIM5DWHJ · pith_short_8: 7SYUWMIB

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/7SYUWMIBEIM5DWHJH3FUWE34VX \
  | 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: fcb14b31012219d1d8e93ecb4b137cadc0b67750d9b939051bb37014fd87f1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f8761a9091ba409daf5de35b203f79bcb1f56eb3d202613de3716f133b79bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-11-07T13:47:39Z",
    "title_canon_sha256": "9a9e139f2256d856d1ac72b1cb936db27a684a4a35fee897cc99478781904c8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1683",
    "kind": "arxiv",
    "version": 2
  }
}