Pith Number

pith:3YUSKLX2

pith:2012:3YUSKLX2CV4KH2MI2TDOIGAESD

not attested not anchored not stored refs pending

The Hausdorff dimension of a class of random self-similar fractal trees

David A. Croydon

arxiv:1210.5862 v1 · 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{3YUSKLX2CV4KH2MI2TDOIGAESD}

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	2026-05-18T03:42:34.881761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de29252efa1578a3e988d4c6e4180490c6e104f063ae166e18f7775e2c2629d8

Aliases

arxiv: 1210.5862 · arxiv_version: 1210.5862v1 · doi: 10.48550/arxiv.1210.5862 · pith_short_12: 3YUSKLX2CV4K · pith_short_16: 3YUSKLX2CV4KH2MI · pith_short_8: 3YUSKLX2

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/3YUSKLX2CV4KH2MI2TDOIGAESD \
  | 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: de29252efa1578a3e988d4c6e4180490c6e104f063ae166e18f7775e2c2629d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cb3fd55b877ec5e7eb5cd80f1cfbf553fe56e2bef36fae62611e51a5df8d8f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-22T10:44:22Z",
    "title_canon_sha256": "7fa5a5ffa6bb11943c8c0708ed989650b624d3cb8e066029f342077cf54a2a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5862",
    "kind": "arxiv",
    "version": 1
  }
}