Pith Number

pith:KA264VQN

pith:2011:KA264VQNU26TE6O3RD2LH6B7OG

not attested not anchored not stored refs pending

Strong Stationary Duality for M\"obius Monotone Markov Chains: Unreliable Networks

Pawel Lorek, Ryszard Szekli

arxiv:1101.0333 v1 · 2011-01-01 · 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{KA264VQNU26TE6O3RD2LH6B7OG}

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	2026-05-18T04:32:10.548347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5035ee560da6bd3279db88f4b3f83f71b426b23069e4369648ab46a0e692cbe3

Aliases

arxiv: 1101.0333 · arxiv_version: 1101.0333v1 · doi: 10.48550/arxiv.1101.0333 · pith_short_12: KA264VQNU26T · pith_short_16: KA264VQNU26TE6O3 · pith_short_8: KA264VQN

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/KA264VQNU26TE6O3RD2LH6B7OG \
  | 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: 5035ee560da6bd3279db88f4b3f83f71b426b23069e4369648ab46a0e692cbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bb3d56641e0a448ad128af03fe3bc8ef6dbc55240806a75d85bc6ae72614932",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-01-01T12:09:35Z",
    "title_canon_sha256": "4578a252a7fec06588dc40ca28426d8c521e8411d6677ed72dbeea94a98d9593"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0333",
    "kind": "arxiv",
    "version": 1
  }
}