Pith Number

pith:IZUVPQQ7

pith:2013:IZUVPQQ7O4GYE3XWFIFYB6DOCR

not attested not anchored not stored refs pending

The Kendall's Theorem and its Application to the Geometric Ergodicity of Markov Chains

Witold Bednorz

arxiv:1301.1481 v1 · 2013-01-08 · 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{IZUVPQQ7O4GYE3XWFIFYB6DOCR}

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	2026-05-18T03:36:57.367151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466957c21f770d826ef62a0b80f86e1453dceeaa65cde5cbcd628944f0172204

Aliases

arxiv: 1301.1481 · arxiv_version: 1301.1481v1 · doi: 10.48550/arxiv.1301.1481 · pith_short_12: IZUVPQQ7O4GY · pith_short_16: IZUVPQQ7O4GYE3XW · pith_short_8: IZUVPQQ7

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/IZUVPQQ7O4GYE3XWFIFYB6DOCR \
  | 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: 466957c21f770d826ef62a0b80f86e1453dceeaa65cde5cbcd628944f0172204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e63eb60dc1735850cac5ee913d475032c9267538f117fd1efc699600d51134e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-08T10:44:26Z",
    "title_canon_sha256": "dbba16015854aa4c83b6923ab994d34223dffe030db9cefe96f8ddbc2f30afe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.1481",
    "kind": "arxiv",
    "version": 1
  }
}