Pith Number

pith:K7MKNR2T

pith:2011:K7MKNR2TZ6YOJZRWRTBMUU3UN4

not attested not anchored not stored refs pending

Reflecting random walk in fractal domains

Krzysztof Burdzy, Zhen-Qing Chen

arxiv:1105.4283 v2 · 2011-05-21 · 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{K7MKNR2TZ6YOJZRWRTBMUU3UN4}

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	2026-05-18T03:17:35.577335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d8a6c753cfb0e4e6368cc2ca53746f30240d036da3387c7ef68e01bb6630b2

Aliases

arxiv: 1105.4283 · arxiv_version: 1105.4283v2 · doi: 10.48550/arxiv.1105.4283 · pith_short_12: K7MKNR2TZ6YO · pith_short_16: K7MKNR2TZ6YOJZRW · pith_short_8: K7MKNR2T

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/K7MKNR2TZ6YOJZRWRTBMUU3UN4 \
  | 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: 57d8a6c753cfb0e4e6368cc2ca53746f30240d036da3387c7ef68e01bb6630b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d401b800d5fadc5d72e27865654311bdcad6bb956b2e2915bf6710b3e4f8fe8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-21T19:53:53Z",
    "title_canon_sha256": "aa1008c76adc18629037e26a38a22dc7caea8376c985424d7263f3d9cb706a54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4283",
    "kind": "arxiv",
    "version": 2
  }
}