Pith Number

pith:OXEQVUA2

pith:2012:OXEQVUA2JTEAPW334VVQRGQXYC

not attested not anchored not stored refs pending

The Invariant Measure of Random Walks in the Quarter-plane: Representation in Geometric Terms

Jasper Goseling, Richard J. Boucherie, Yanting Chen

arxiv:1207.5335 v4 · 2012-07-23 · 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{OXEQVUA2JTEAPW334VVQRGQXYC}

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	2026-05-18T02:48:43.773324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75c90ad01a4cc807db7be56b089a17c088fb1dcab9192f56d01f83deb76b4162

Aliases

arxiv: 1207.5335 · arxiv_version: 1207.5335v4 · doi: 10.48550/arxiv.1207.5335 · pith_short_12: OXEQVUA2JTEA · pith_short_16: OXEQVUA2JTEAPW33 · pith_short_8: OXEQVUA2

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/OXEQVUA2JTEAPW334VVQRGQXYC \
  | 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: 75c90ad01a4cc807db7be56b089a17c088fb1dcab9192f56d01f83deb76b4162

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21f286ab9b098f397936d002234ec2bb1b0822072420f3155d56e950aaa96799",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-23T09:51:34Z",
    "title_canon_sha256": "3a13c542777dec7454c94b39e6cf2ee5da0946df582a3ec19f4ebfbbfddc5194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5335",
    "kind": "arxiv",
    "version": 4
  }
}