Pith Number

pith:62NWQGLH

pith:2012:62NWQGLHPJ3ZI7GYLT2DHOCPIB

not attested not anchored not stored refs pending

A Mixed Generalized Multifractal Formalism For Vector Valued Measures

Anouar Ben Mabrouk

arxiv:1212.5683 v1 · 2012-12-22 · 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{62NWQGLHPJ3ZI7GYLT2DHOCPIB}

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	2026-05-18T03:37:51.769263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f69b6819677a77947cd85cf433b84f405a30c7b088256a005ec3db7c90e8b1b7

Aliases

arxiv: 1212.5683 · arxiv_version: 1212.5683v1 · doi: 10.48550/arxiv.1212.5683 · pith_short_12: 62NWQGLHPJ3Z · pith_short_16: 62NWQGLHPJ3ZI7GY · pith_short_8: 62NWQGLH

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/62NWQGLHPJ3ZI7GYLT2DHOCPIB \
  | 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: f69b6819677a77947cd85cf433b84f405a30c7b088256a005ec3db7c90e8b1b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb169eb385d0b8e1be3652c6acdcbcaae4367451f36996a3016d250112e3d4c0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-22T11:57:46Z",
    "title_canon_sha256": "1a172b68a5c55af62a4065fc9538d9db9ce06e3db008647369e7e6c4339aecba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5683",
    "kind": "arxiv",
    "version": 1
  }
}