Pith Number

pith:AFY72RIP

pith:2010:AFY72RIPEMIQ5BBPP2TSYE5KBF

not attested not anchored not stored refs pending

Realization of finite-state mixing Markov chain as a random walk subject to a synchronizing road coloring

Kenji Yasutomi, Kouji Yano

arxiv:1006.0534 v2 · 2010-06-03 · 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{AFY72RIPEMIQ5BBPP2TSYE5KBF}

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	2026-05-18T04:41:43.835851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0171fd450f23110e842f7ea72c13aa0962761312d026717661c64732a45535b5

Aliases

arxiv: 1006.0534 · arxiv_version: 1006.0534v2 · doi: 10.48550/arxiv.1006.0534 · pith_short_12: AFY72RIPEMIQ · pith_short_16: AFY72RIPEMIQ5BBP · pith_short_8: AFY72RIP

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/AFY72RIPEMIQ5BBPP2TSYE5KBF \
  | 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: 0171fd450f23110e842f7ea72c13aa0962761312d026717661c64732a45535b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6878f3030161a572d37601fb7800f6e4ed047cbd4c67354cce10f5bc304b9349",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-06-03T01:16:42Z",
    "title_canon_sha256": "cee733b984fd6f0eaffc3f03700b74ae730209fb5b7c40db4a1812694205704a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0534",
    "kind": "arxiv",
    "version": 2
  }
}