Pith Number

pith:B6PNPEEV

pith:2009:B6PNPEEVPZPF3USGGVAIS7QGPL

not attested not anchored not stored refs pending

Multifractal analysis of complex random cascades

Julien Barral, Xiong Jin

arxiv:0906.1501 v1 · 2009-06-08 · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B6PNPEEVPZPF3USGGVAIS7QGPL}

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	2026-05-18T02:13:21.598161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f9ed790957e5e5dd2463540897e067ac6b2064fe52fe83f42e6ed5f2a414999

Aliases

arxiv: 0906.1501 · arxiv_version: 0906.1501v1 · doi: 10.48550/arxiv.0906.1501 · pith_short_12: B6PNPEEVPZPF · pith_short_16: B6PNPEEVPZPF3USG · pith_short_8: B6PNPEEV

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/B6PNPEEVPZPF3USGGVAIS7QGPL \
  | 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: 0f9ed790957e5e5dd2463540897e067ac6b2064fe52fe83f42e6ed5f2a414999

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae24c27da1ca3ebf29f2f05dc78569dbff9a2a672f7c29a91c288b3e87bb037",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-08T14:38:24Z",
    "title_canon_sha256": "d138816d353f111bc92aa74c2022834517060b92725c4141d9cc6264cda35e23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1501",
    "kind": "arxiv",
    "version": 1
  }
}