Pith Number

pith:S57VMPBH

pith:2010:S57VMPBHSQV5VJCPE3BSBZTY7I

not attested not anchored not stored refs pending

The optimal sink and the best source in a Markov chain

Leonid Bunimovich, Yuri Bakhtin

arxiv:1007.2035 v2 · 2010-07-13 · math.PR · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S57VMPBHSQV5VJCPE3BSBZTY7I}

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	2026-05-18T04:04:55.021684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

977f563c27942bdaa44f26c320e678fa375390702bbd8218a30bceec43752c45

Aliases

arxiv: 1007.2035 · arxiv_version: 1007.2035v2 · doi: 10.48550/arxiv.1007.2035 · pith_short_12: S57VMPBHSQV5 · pith_short_16: S57VMPBHSQV5VJCP · pith_short_8: S57VMPBH

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/S57VMPBHSQV5VJCPE3BSBZTY7I \
  | 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: 977f563c27942bdaa44f26c320e678fa375390702bbd8218a30bceec43752c45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98e15a5c69ce3e158657d89631ddf5f96deb7a76be045e4261e312bf799c9c69",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-07-13T05:22:59Z",
    "title_canon_sha256": "708fa21ab10b4aeb1a7e5ef540a940a3155b5c741eb1e25d87e7a7829a3fc376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2035",
    "kind": "arxiv",
    "version": 2
  }
}