Pith Number

pith:432A26NB

pith:2009:432A26NBGAO7VB4GXAZXGIY3R7

not attested not anchored not stored refs pending

Error bounds for computing the expectation by Markov chain Monte Carlo

Daniel Rudolf

arxiv:0906.2359 v2 · 2009-06-12 · math.NA · 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{432A26NBGAO7VB4GXAZXGIY3R7}

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	2026-05-18T04:31:31.327744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6f40d79a1301dfa8786b83373231b8fd2fcc98ec2e8a151ba3e3860636b25cb

Aliases

arxiv: 0906.2359 · arxiv_version: 0906.2359v2 · doi: 10.48550/arxiv.0906.2359 · pith_short_12: 432A26NBGAO7 · pith_short_16: 432A26NBGAO7VB4G · pith_short_8: 432A26NB

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/432A26NBGAO7VB4GXAZXGIY3R7 \
  | 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: e6f40d79a1301dfa8786b83373231b8fd2fcc98ec2e8a151ba3e3860636b25cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae0b9d6b3c29a9193389ad6e97b5ef6bd619e0719be81af7b6897eb1a741c28e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2009-06-12T16:04:33Z",
    "title_canon_sha256": "d2deed8e3fb7d3b1c7694c4bbf3c939dc529a6ee99e6189bb29990b955ffed19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2359",
    "kind": "arxiv",
    "version": 2
  }
}