Pith Number

pith:ZVKPJUIW

pith:2010:ZVKPJUIWSMEZBJZSENZHIL4I7N

not attested not anchored not stored refs pending

A Distributed Procedure for Computing Stochastic Expansions with Mathematica

Anastasia Papavasiliou, Christophe Ladroue

arxiv:1009.5556 v1 · 2010-09-28 · 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{ZVKPJUIWSMEZBJZSENZHIL4I7N}

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	2026-05-18T04:40:09.850406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd54f4d116930990a7322372742f88fb4f28a016223fe316d47ebedb97a0f2ca

Aliases

arxiv: 1009.5556 · arxiv_version: 1009.5556v1 · doi: 10.48550/arxiv.1009.5556 · pith_short_12: ZVKPJUIWSMEZ · pith_short_16: ZVKPJUIWSMEZBJZS · pith_short_8: ZVKPJUIW

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/ZVKPJUIWSMEZBJZSENZHIL4I7N \
  | 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: cd54f4d116930990a7322372742f88fb4f28a016223fe316d47ebedb97a0f2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6efd90961802dfff8bdaf154e812786403c8c295098b20e5b4e32ab9da5d62fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-28T13:08:57Z",
    "title_canon_sha256": "50e6bb1efb39626364a648ff94b9f8db8c232b712a3de401ecfd9dcfe77e5eb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5556",
    "kind": "arxiv",
    "version": 1
  }
}