Pith Number

pith:3DXQI5HD

pith:2004:3DXQI5HDKUV5DB6VMKTTELIVKS

not attested not anchored not stored refs pending

A mixture representation of \pi with applications in Markov chain Monte Carlo and perfect sampling

Christian P. Robert, James P. Hobert

arxiv:math/0407120 v1 · 2004-07-08 · 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{3DXQI5HDKUV5DB6VMKTTELIVKS}

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	2026-07-04T14:38:53.997676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8ef0474e3552bd187d562a7322d1554b5e4cdb4fb7327fa488fd49e40d66239

Aliases

arxiv: math/0407120 · arxiv_version: math/0407120v1 · doi: 10.48550/arxiv.math/0407120 · pith_short_12: 3DXQI5HDKUV5 · pith_short_16: 3DXQI5HDKUV5DB6V · pith_short_8: 3DXQI5HD

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/3DXQI5HDKUV5DB6VMKTTELIVKS \
  | 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: d8ef0474e3552bd187d562a7322d1554b5e4cdb4fb7327fa488fd49e40d66239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "152f6ff586a2de916a5f77a38a712093302e4e4d0174f3d983b8b53ddc4e7678",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2004-07-08T08:18:44Z",
    "title_canon_sha256": "fcaa0aba5b348bc02f3dcfca2b9609134945fbf85d391deae63047ea8e3cfbd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0407120",
    "kind": "arxiv",
    "version": 1
  }
}