Pith Number

pith:4UUIWJQT

pith:2016:4UUIWJQTMQJRPQSDHZAP6SP2VY

not attested not anchored not stored refs pending

Matrix geometric approach for random walks: stability condition and equilibrium distribution

Stella Kapodistria, Zbigniew Palmowski

arxiv:1603.04842 v4 · 2016-03-15 · 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{4UUIWJQTMQJRPQSDHZAP6SP2VY}

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	2026-05-18T00:39:56.996235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5288b2613641317c2433e40ff49faae24641cbdb5eeacd37623db0189265d77

Aliases

arxiv: 1603.04842 · arxiv_version: 1603.04842v4 · doi: 10.48550/arxiv.1603.04842 · pith_short_12: 4UUIWJQTMQJR · pith_short_16: 4UUIWJQTMQJRPQSD · pith_short_8: 4UUIWJQT

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/4UUIWJQTMQJRPQSDHZAP6SP2VY \
  | 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: e5288b2613641317c2433e40ff49faae24641cbdb5eeacd37623db0189265d77

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56f7430f61e4a03d932f62fb80c946a0784e343fa9c04fe7b21566bba8f15de9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-15T19:54:50Z",
    "title_canon_sha256": "17a1a58998a019419ada99b295725520158a57bbfff32e7786e5aecbdb8ad618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04842",
    "kind": "arxiv",
    "version": 4
  }
}