Pith Number

pith:ONDVHDY7

pith:2012:ONDVHDY7ZZUFFLFQPZXM7CIRHU

not attested not anchored not stored refs pending

Convergence Rates of Markov Chains on Spaces of Partitions

Harry Crane, Steven P. Lalley

arxiv:1209.4918 v1 · 2012-09-21 · 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{ONDVHDY7ZZUFFLFQPZXM7CIRHU}

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	2026-05-18T03:44:59.686838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7347538f1fce6852acb07e6ecf89113d3044617e151353ac8974ee7e42c19426

Aliases

arxiv: 1209.4918 · arxiv_version: 1209.4918v1 · doi: 10.48550/arxiv.1209.4918 · pith_short_12: ONDVHDY7ZZUF · pith_short_16: ONDVHDY7ZZUFFLFQ · pith_short_8: ONDVHDY7

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/ONDVHDY7ZZUFFLFQPZXM7CIRHU \
  | 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: 7347538f1fce6852acb07e6ecf89113d3044617e151353ac8974ee7e42c19426

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4e3d49d7f4f9b6ff6e253392c008e8169f81be0023d6b4cb5ade5425612d32e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-09-21T20:46:39Z",
    "title_canon_sha256": "e4c28734b5bf2fbc88f80aa4ca0aac9a67f376aa9ec58b34b569d2777b21a3f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4918",
    "kind": "arxiv",
    "version": 1
  }
}