Pith Number

pith:SEV5LGZY

pith:2013:SEV5LGZYQNNFRAR6WWRF7SS6UV

not attested not anchored not stored refs pending

Necessary conditions for the invariant measure of a random walk to be a sum of geometric terms

Jasper Goseling, Richard J. Boucherie, Yanting Chen

arxiv:1304.3316 v2 · 2013-04-11 · 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{SEV5LGZYQNNFRAR6WWRF7SS6UV}

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	2026-05-18T02:48:27.382957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

912bd59b38835a58823eb5a25fca5ea57a9b3cf1b87b97e8862acc191a4fea17

Aliases

arxiv: 1304.3316 · arxiv_version: 1304.3316v2 · doi: 10.48550/arxiv.1304.3316 · pith_short_12: SEV5LGZYQNNF · pith_short_16: SEV5LGZYQNNFRAR6 · pith_short_8: SEV5LGZY

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/SEV5LGZYQNNFRAR6WWRF7SS6UV \
  | 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: 912bd59b38835a58823eb5a25fca5ea57a9b3cf1b87b97e8862acc191a4fea17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d3d84c4c2323c9b96bfab2abd30333b5c51aa9206d479475e2de00e9cf50218",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-04-11T14:23:06Z",
    "title_canon_sha256": "db368caf0947e89ee098a4b1a7932a88e44e76df784f34c40429c73cc52f3b1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.3316",
    "kind": "arxiv",
    "version": 2
  }
}