Pith Number

pith:HCEQ7UPK

pith:2015:HCEQ7UPKVJMRP5FEQD4UMBDOVL

not attested not anchored not stored refs pending

Multifractal analysis based on p-exponents and lacunarity exponents

Clothilde Melot, Herwig Wendt, Patrice Abry, Roberto Leonarduzzi, St\'ephane Jaffard

arxiv:1505.06885 v1 · 2015-05-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HCEQ7UPKVJMRP5FEQD4UMBDOVL}

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	2026-05-18T02:03:27.664213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38890fd1eaaa5917f4a480f946046eaaf419836b03734ed59e214e86f47e97e3

Aliases

arxiv: 1505.06885 · arxiv_version: 1505.06885v1 · doi: 10.48550/arxiv.1505.06885 · pith_short_12: HCEQ7UPKVJMR · pith_short_16: HCEQ7UPKVJMRP5FE · pith_short_8: HCEQ7UPK

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/HCEQ7UPKVJMRP5FEQD4UMBDOVL \
  | 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: 38890fd1eaaa5917f4a480f946046eaaf419836b03734ed59e214e86f47e97e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca5e3852a7789f5278b7f8c3c84a564e64ceca67d3c8fa9a63a523fb11ca5cec",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-26T10:11:51Z",
    "title_canon_sha256": "46a12cd97f6e9d32752a0d0570e07e55e9c8bc58634907d399dd6a329346878d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06885",
    "kind": "arxiv",
    "version": 1
  }
}