Pith Number

pith:URQOY6T7

pith:2014:URQOY6T7REBQ72NWZLTDRF3JBQ

not attested not anchored not stored refs pending

Strong Stationary Duality for M\"obius monotone Markov chains: examples

Pawel Lorek, Ryszard Szekli

arxiv:1402.0353 v1 · 2014-02-03 · 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{URQOY6T7REBQ72NWZLTDRF3JBQ}

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	2026-05-18T00:05:00.949775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a460ec7a7f89030fe9b6cae63897690c33e25b54128df59c53eead2a59707d83

Aliases

arxiv: 1402.0353 · arxiv_version: 1402.0353v1 · doi: 10.48550/arxiv.1402.0353 · pith_short_12: URQOY6T7REBQ · pith_short_16: URQOY6T7REBQ72NW · pith_short_8: URQOY6T7

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/URQOY6T7REBQ72NWZLTDRF3JBQ \
  | 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: a460ec7a7f89030fe9b6cae63897690c33e25b54128df59c53eead2a59707d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3efdb41a769b17b98aab6038340ab2752bb14da7b6f4883b7f8a15ab7cb6d546",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-02-03T12:03:11Z",
    "title_canon_sha256": "eadaf0164cb8a247b1bd9f9533b1d2987c80d1955f7cebb0839acc0c2e613c28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.0353",
    "kind": "arxiv",
    "version": 1
  }
}