Pith Number

pith:NLCVCVL3

pith:2012:NLCVCVL3DQ4J5YBRKHHEP37325

not attested not anchored not stored refs pending

Multifractal analysis of some multiple ergodic averages

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

arxiv:1212.2764 v1 · 2012-12-12 · 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{NLCVCVL3DQ4J5YBRKHHEP37325}

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	2026-05-18T03:38:35.437405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ac551557b1c389ee03151ce47effbd75c523964d69a5b6f0ae7a7e79f433946

Aliases

arxiv: 1212.2764 · arxiv_version: 1212.2764v1 · doi: 10.48550/arxiv.1212.2764 · pith_short_12: NLCVCVL3DQ4J · pith_short_16: NLCVCVL3DQ4J5YBR · pith_short_8: NLCVCVL3

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/NLCVCVL3DQ4J5YBRKHHEP37325 \
  | 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: 6ac551557b1c389ee03151ce47effbd75c523964d69a5b6f0ae7a7e79f433946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14822275f49a8426626744a2c9bf3aad167463087b487a4f1706c2152e943d46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-12-12T10:37:52Z",
    "title_canon_sha256": "ac7d2699bcf1b05826858dcba5dff10b7e57c1eef49fefef0e2059d1cdfac201"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2764",
    "kind": "arxiv",
    "version": 1
  }
}