Pith Number

pith:E44NLMB2

pith:2024:E44NLMB2IEYESH2SG7AL4T4DT2

not attested not anchored not stored refs pending

Accurately Computing Expected Visiting Times and Stationary Distributions in Markov Chains

Hannah Mertens, Joost-Pieter Katoen, Tim Quatmann, Tobias Winkler

arxiv:2401.10638 v2 · 2024-01-19 · cs.LO · 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{E44NLMB2IEYESH2SG7AL4T4DT2}

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	2026-07-05T07:47:08.040502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2738d5b03a4130491f5237c0be4f839e9a5dfac4374d02ab93e1002dc16ca6ed

Aliases

arxiv: 2401.10638 · arxiv_version: 2401.10638v2 · doi: 10.48550/arxiv.2401.10638 · pith_short_12: E44NLMB2IEYE · pith_short_16: E44NLMB2IEYESH2S · pith_short_8: E44NLMB2

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/E44NLMB2IEYESH2SG7AL4T4DT2 \
  | 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: 2738d5b03a4130491f5237c0be4f839e9a5dfac4374d02ab93e1002dc16ca6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8061c5a74333b5efb817535d904089f8f166ffe3b3d84ef9a7b5d8d48590f938",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2024-01-19T11:35:14Z",
    "title_canon_sha256": "de65b7d7de96e81a86d211f747fa72cf10d0e1c7fcf8ebd2e643fe0533a864bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.10638",
    "kind": "arxiv",
    "version": 2
  }
}