Pith Number

pith:ABBGWWTX

pith:2008:ABBGWWTXOZSFHCTYE4OSJCXQXX

not attested not anchored not stored refs pending

On ergodicity of some Markov processes

Szymon Peszat, Tomasz Komorowski, Tomasz Szarek

arxiv:0810.4609 v4 · 2008-10-25 · 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{ABBGWWTXOZSFHCTYE4OSJCXQXX}

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	2026-05-18T04:39:17.049033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00426b5a777664538a78271d248af0bde284f4125ccc6e527013cb230c3f8753

Aliases

arxiv: 0810.4609 · arxiv_version: 0810.4609v4 · doi: 10.48550/arxiv.0810.4609 · pith_short_12: ABBGWWTXOZSF · pith_short_16: ABBGWWTXOZSFHCTY · pith_short_8: ABBGWWTX

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/ABBGWWTXOZSFHCTYE4OSJCXQXX \
  | 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: 00426b5a777664538a78271d248af0bde284f4125ccc6e527013cb230c3f8753

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519b41883cc5995d8c4d239af4c3bc2974b8f2dd4c5ffa7802b49a6192bbae26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2008-10-25T14:42:46Z",
    "title_canon_sha256": "a1848d83fb2e1d891d9c676c5962eb048b9507bb0ccb51d6493326b0f8a5283e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.4609",
    "kind": "arxiv",
    "version": 4
  }
}