Pith Number

pith:3TVO64YF

pith:2010:3TVO64YFV4VKQZFRURFGECN6L7

not attested not anchored not stored refs pending

Linearization effect in multifractal analysis: Insights from the Random Energy Model

Eric Bertin, Florian Angeletti, Marc M\'ezard, Patrice Abry

arxiv:1012.3688 v2 · 2010-12-16 · cond-mat.stat-mech · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3TVO64YFV4VKQZFRURFGECN6L7}

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	2026-05-18T04:16:51.520675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dceaef7305af2aa864b1a44a6209be5fd171cadcd0287c88361defd9e7fc1175

Aliases

arxiv: 1012.3688 · arxiv_version: 1012.3688v2 · doi: 10.48550/arxiv.1012.3688 · pith_short_12: 3TVO64YFV4VK · pith_short_16: 3TVO64YFV4VKQZFR · pith_short_8: 3TVO64YF

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/3TVO64YFV4VKQZFRURFGECN6L7 \
  | 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: dceaef7305af2aa864b1a44a6209be5fd171cadcd0287c88361defd9e7fc1175

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82cf4ebc13f85d86b6e057a6460be485ac07988106668f316ea2de0306f48f1a",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-12-16T17:19:58Z",
    "title_canon_sha256": "16d396d123d80382088a9e806ab436db837a281afe529e83344a91da49a513ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3688",
    "kind": "arxiv",
    "version": 2
  }
}