Pith Number

pith:AYNVGWOZ

pith:2002:AYNVGWOZWZR7OGADUXWLSIUNXT

not attested not anchored not stored refs pending

The world according to Renyi: Thermodynamics of multifractal systems

Petr Jizba, Toshihico Arimitsu

arxiv:cond-mat/0207707 v3 · 2002-07-30 · cond-mat.stat-mech · astro-ph · hep-th · math-ph · math.MP · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYNVGWOZWZR7OGADUXWLSIUNXT}

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	2026-07-04T14:19:22.906403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

061b5359d9b663f71803a5ecb9228dbcf1495f9c589a4d6cde81f1ea682fc99c

Aliases

arxiv: cond-mat/0207707 · arxiv_version: cond-mat/0207707v3 · doi: 10.48550/arxiv.cond-mat/0207707 · pith_short_12: AYNVGWOZWZR7 · pith_short_16: AYNVGWOZWZR7OGAD · pith_short_8: AYNVGWOZ

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/AYNVGWOZWZR7OGADUXWLSIUNXT \
  | 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: 061b5359d9b663f71803a5ecb9228dbcf1495f9c589a4d6cde81f1ea682fc99c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7111db5147d508984066821d3e5dc36a051dd41ac3d14cadc5536266025b3e0d",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th",
      "math-ph",
      "math.MP",
      "physics.data-an"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-07-30T12:22:17Z",
    "title_canon_sha256": "d4b07f2c432236231c0b01b5cb33d744dd22935925ae19b8d87635948f1258e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0207707",
    "kind": "arxiv",
    "version": 3
  }
}