Pith Number

pith:J3MDQFOD

pith:2011:J3MDQFODGTR2YUCDEZS7LUSJPJ

not attested not anchored not stored refs pending

Multifractal Analysis of inhomogeneous Bernoulli products

Athanasios Batakis (MAPMO), Benoit Testud (LAMFA)

arxiv:1102.0142 v1 · 2011-02-01 · math.CA · math-ph · math.DS · 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{J3MDQFODGTR2YUCDEZS7LUSJPJ}

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	2026-05-18T02:03:19.657456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ed83815c334e3ac50432665f5d2497a44660526d8900f902c9889587d7695a9

Aliases

arxiv: 1102.0142 · arxiv_version: 1102.0142v1 · doi: 10.48550/arxiv.1102.0142 · pith_short_12: J3MDQFODGTR2 · pith_short_16: J3MDQFODGTR2YUCD · pith_short_8: J3MDQFOD

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/J3MDQFODGTR2YUCDEZS7LUSJPJ \
  | 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: 4ed83815c334e3ac50432665f5d2497a44660526d8900f902c9889587d7695a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0122ecbf79ca406066f0a67e29cb7726152d8a9c566e49418d9ef616ff5bb65",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2011-02-01T12:23:12Z",
    "title_canon_sha256": "d4b55c7bd1d5d3057c5bdc0616183f008861e5de84a5d41426dabcf3fa34adca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0142",
    "kind": "arxiv",
    "version": 1
  }
}