Pith Number

pith:SMMF774P

pith:2011:SMMF774PZB6VVYHGWDA33KORKN

not attested not anchored not stored refs pending

Randomized Urn Models revisited using Stochastic Approximation

Gilles Pag\`es (LPMA), Sophie Laruelle (LAMA)

arxiv:1101.2786 v6 · 2011-01-14 · 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{SMMF774PZB6VVYHGWDA33KORKN}

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	2026-05-18T00:52:34.728666Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93185fff8fc87d5ae0e6b0c1bda9d15345ecacfe43da01d06d5e85ec42347143

Aliases

arxiv: 1101.2786 · arxiv_version: 1101.2786v6 · doi: 10.48550/arxiv.1101.2786 · pith_short_12: SMMF774PZB6V · pith_short_16: SMMF774PZB6VVYHG · pith_short_8: SMMF774P

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/SMMF774PZB6VVYHGWDA33KORKN \
  | 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: 93185fff8fc87d5ae0e6b0c1bda9d15345ecacfe43da01d06d5e85ec42347143

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48069bb9f328e0da10d2dae20aa5d7af14600d71639afee82f0ba88ae1067379",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-14T12:34:23Z",
    "title_canon_sha256": "21de5bde6dc32fa09c6ed961bc52c583e2653a51e0e22da2a1119f06dc3a02f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2786",
    "kind": "arxiv",
    "version": 6
  }
}