Pith Number

pith:VUN5KSIG

pith:2016:VUN5KSIGQBXA4GYQCG3QAX24ZQ

not attested not anchored not stored refs pending

An algebra of Stein operators

Guillaume Mijoule, Robert E. Gaunt, Yvik Swan

arxiv:1604.06819 v3 · 2016-04-22 · 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{VUN5KSIGQBXA4GYQCG3QAX24ZQ}

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	2026-05-18T00:04:42.088185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad1bd54906806e0e1b1011b7005f5ccc067607d5b404f72862892c8ed5caf5b9

Aliases

arxiv: 1604.06819 · arxiv_version: 1604.06819v3 · doi: 10.48550/arxiv.1604.06819 · pith_short_12: VUN5KSIGQBXA · pith_short_16: VUN5KSIGQBXA4GYQ · pith_short_8: VUN5KSIG

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/VUN5KSIGQBXA4GYQCG3QAX24ZQ \
  | 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: ad1bd54906806e0e1b1011b7005f5ccc067607d5b404f72862892c8ed5caf5b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fb67cae91c563afa3c2cea6889640a85e4a6c5402c7f54535dc74b089b2aa4c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-04-22T20:56:39Z",
    "title_canon_sha256": "12797b28dc3791954489aeaa2337ebb58eeb18666a3c1235b478bb78e3e6f837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.06819",
    "kind": "arxiv",
    "version": 3
  }
}