Pith Number

pith:G5P72NZ6

pith:2011:G5P72NZ6QYCTAD6OHIXVU2I4WV

not attested not anchored not stored refs pending

CLTs and asymptotic variance of time-sampled Markov chains

Gareth O. Roberts, Krzysztof Latuszynski

arxiv:1102.2171 v2 · 2011-02-10 · math.PR · stat.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G5P72NZ6QYCTAD6OHIXVU2I4WV}

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	2026-05-18T04:20:39.357290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

375ffd373e8605300fce3a2f5a691cb56af0423727039c258c75571b9e88c2c8

Aliases

arxiv: 1102.2171 · arxiv_version: 1102.2171v2 · doi: 10.48550/arxiv.1102.2171 · pith_short_12: G5P72NZ6QYCT · pith_short_16: G5P72NZ6QYCTAD6O · pith_short_8: G5P72NZ6

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/G5P72NZ6QYCTAD6OHIXVU2I4WV \
  | 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: 375ffd373e8605300fce3a2f5a691cb56af0423727039c258c75571b9e88c2c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a314d6f27de26a658d8bbc61252477dc3ea03b0a5c4223cc85c32b8abef81883",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-02-10T16:58:37Z",
    "title_canon_sha256": "90ce73a5e3084d6a298889747444bc6c6e2c70c9fa272d34311fd8a1d9e5d08b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2171",
    "kind": "arxiv",
    "version": 2
  }
}