Pith Number

pith:QR7YBQ3Q

pith:2013:QR7YBQ3QE5T25PBE345J4HZY7K

not attested not anchored not stored refs pending

Measures and functions with prescribed homogeneous multifractal spectrum

St\'ephane Seuret, Zolt\'an Buczolich

arxiv:1302.2421 v1 · 2013-02-11 · math.CA · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QR7YBQ3QE5T25PBE345J4HZY7K}

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	2026-05-18T03:34:01.188996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

847f80c3702767aebc24df3a9e1f38faa7802f7825ee42153006eae4b6aa428f

Aliases

arxiv: 1302.2421 · arxiv_version: 1302.2421v1 · doi: 10.48550/arxiv.1302.2421 · pith_short_12: QR7YBQ3QE5T2 · pith_short_16: QR7YBQ3QE5T25PBE · pith_short_8: QR7YBQ3Q

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/QR7YBQ3QE5T25PBE345J4HZY7K \
  | 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: 847f80c3702767aebc24df3a9e1f38faa7802f7825ee42153006eae4b6aa428f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f451d3f268a3edf7093e7cf1bad43337ce4d01b4d6ac4d9b66f3aafe1f716e85",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-02-11T09:22:30Z",
    "title_canon_sha256": "81e9c5d77a48555b29c39a3d45f755eec8e2a1503aae3f4c9a0a5597af99c7aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2421",
    "kind": "arxiv",
    "version": 1
  }
}