Pith Number

pith:72HLSX2P

pith:2010:72HLSX2PWHT4COM4FIKQVJILPB

not attested not anchored not stored refs pending

Dimension result and KPZ formula for two-dimensional multiplicative cascade processes

Xiong Jin

arxiv:1005.5255 v2 · 2010-05-28 · math.PR · 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{72HLSX2PWHT4COM4FIKQVJILPB}

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	2026-05-18T03:44:57.993297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe8eb95f4fb1e7c1399c2a150aa50b78698676fa6fc8412b58cc0dcd1f3488df

Aliases

arxiv: 1005.5255 · arxiv_version: 1005.5255v2 · doi: 10.48550/arxiv.1005.5255 · pith_short_12: 72HLSX2PWHT4 · pith_short_16: 72HLSX2PWHT4COM4 · pith_short_8: 72HLSX2P

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/72HLSX2PWHT4COM4FIKQVJILPB \
  | 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: fe8eb95f4fb1e7c1399c2a150aa50b78698676fa6fc8412b58cc0dcd1f3488df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfad7fad63d4e75b44c5dc4047e7727e076543f8bc75d762b9eb70b72af330c0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-05-28T09:50:56Z",
    "title_canon_sha256": "c104cbb8104d70f803afae268800507d78270a623f62fd35a9b7ec14bf217a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.5255",
    "kind": "arxiv",
    "version": 2
  }
}