Pith Number

pith:FBXS6VE6

pith:2011:FBXS6VE6ZM7JR4QAP6VXF2SMPI

not attested not anchored not stored refs pending

Multifractal Analysis of Multiple Ergodic Averages

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

arxiv:1108.4131 v1 · 2011-08-20 · 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{FBXS6VE6ZM7JR4QAP6VXF2SMPI}

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	2026-05-18T04:14:56.066344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

286f2f549ecb3e98f2007fab72ea4c7a324248fdfa3128c3c60674173c83c61f

Aliases

arxiv: 1108.4131 · arxiv_version: 1108.4131v1 · doi: 10.48550/arxiv.1108.4131 · pith_short_12: FBXS6VE6ZM7J · pith_short_16: FBXS6VE6ZM7JR4QA · pith_short_8: FBXS6VE6

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/FBXS6VE6ZM7JR4QAP6VXF2SMPI \
  | 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: 286f2f549ecb3e98f2007fab72ea4c7a324248fdfa3128c3c60674173c83c61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17eb1affece36ffa86d55730eb1dcbd18a6e37096976d33ae2bc977884ca4683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-08-20T17:20:00Z",
    "title_canon_sha256": "72b794e520a47dee362c70e384ec0f2ac005234ed31111b52453e9f82a590a6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4131",
    "kind": "arxiv",
    "version": 1
  }
}