Pith Number

pith:XE7T5ZRV

pith:2012:XE7T5ZRVT3QZS3I5GQVWQT5ZET

not attested not anchored not stored refs pending

Dimensions of random affine code tree fractals

Antti K\"aenm\"aki, Esa J\"arvenp\"a\"a, Henna Koivusalo, Maarit J\"arvenp\"a\"a, \"Orjan Stenflo, Ville Suomala

arxiv:1202.0140 v1 · 2012-02-01 · math.DS · math.CA · 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{XE7T5ZRVT3QZS3I5GQVWQT5ZET}

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	2026-05-18T00:51:34.450639Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b93f3ee6359ee1996d1d342b684fb924c1c0036afa45e7a8770806e72d02253d

Aliases

arxiv: 1202.0140 · arxiv_version: 1202.0140v1 · doi: 10.48550/arxiv.1202.0140 · pith_short_12: XE7T5ZRVT3QZ · pith_short_16: XE7T5ZRVT3QZS3I5 · pith_short_8: XE7T5ZRV

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/XE7T5ZRVT3QZS3I5GQVWQT5ZET \
  | 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: b93f3ee6359ee1996d1d342b684fb924c1c0036afa45e7a8770806e72d02253d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b5bb8a5ac7821692ea14a6bcf069316792158d77fed452435d3df538aa031b3",
    "cross_cats_sorted": [
      "math.CA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-01T10:39:14Z",
    "title_canon_sha256": "26464cfcd89c4cdd123ab74eb967f480ea5c892d4ea86e7d57627a663cd7bebd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0140",
    "kind": "arxiv",
    "version": 1
  }
}