Pith Number

pith:INOFFXMR

pith:2012:INOFFXMRCUYF4UNPYND7HHQ4SE

not attested not anchored not stored refs pending

The Multifractal Spectra of V-Statistics

Ai-Hua Fan (LAMFA), Joerg Schmeling, Meng Wu (LAMFA)

arxiv:1206.3214 v1 · 2012-06-14 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{INOFFXMRCUYF4UNPYND7HHQ4SE}

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	2026-05-18T03:53:32.202732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

435c52dd9115305e51afc347f39e1c91290eaddc4ae0c7efe0921ec691ebe42b

Aliases

arxiv: 1206.3214 · arxiv_version: 1206.3214v1 · doi: 10.48550/arxiv.1206.3214 · pith_short_12: INOFFXMRCUYF · pith_short_16: INOFFXMRCUYF4UNP · pith_short_8: INOFFXMR

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/INOFFXMRCUYF4UNPYND7HHQ4SE \
  | 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: 435c52dd9115305e51afc347f39e1c91290eaddc4ae0c7efe0921ec691ebe42b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2f0fd3d79386f8930f6a018d0ff3afc2892113d31a1de9c71070919b2d81c5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-06-14T19:01:47Z",
    "title_canon_sha256": "e8926d188c30c8b967c7995f280bb27e390c8e5a4a9e8fc57c9cb1f4c88ac973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.3214",
    "kind": "arxiv",
    "version": 1
  }
}