Pith Number

pith:QWJXRSZO

pith:2012:QWJXRSZO2N26K5A7BMLV5MYCDZ

not attested not anchored not stored refs pending

Scaling limits for simple random walks on random ordered graph trees

David A. Croydon

arxiv:1210.5866 v2 · 2012-10-22 · 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{QWJXRSZO2N26K5A7BMLV5MYCDZ}

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	2026-05-18T03:42:33.474467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

859378cb2ed375e5741f0b175eb3021e611a0035241188af8db73ffb9fdf9640

Aliases

arxiv: 1210.5866 · arxiv_version: 1210.5866v2 · doi: 10.48550/arxiv.1210.5866 · pith_short_12: QWJXRSZO2N26 · pith_short_16: QWJXRSZO2N26K5A7 · pith_short_8: QWJXRSZO

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/QWJXRSZO2N26K5A7BMLV5MYCDZ \
  | 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: 859378cb2ed375e5741f0b175eb3021e611a0035241188af8db73ffb9fdf9640

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1703b8d3370080bc5fab7016ebe484b48b161242bbdb795a97eaa0c9dfda4a14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-22T10:54:18Z",
    "title_canon_sha256": "d97fc0b2f4658d34811910f8ff97559821936f962c60e49f433a3c2bbbef3b80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5866",
    "kind": "arxiv",
    "version": 2
  }
}