Pith Number

pith:CBCSPNTO

pith:2011:CBCSPNTOSYEWW4SGYPEM3HRJIE

not attested not anchored not stored refs pending

Generalized entropies and the transformation group of superstatistics

Murray Gell-Mann, Rudolf Hanel, Stefan Thurner

arxiv:1103.0580 v1 · 2011-03-02 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CBCSPNTOSYEWW4SGYPEM3HRJIE}

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	2026-05-18T01:03:37.375765Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

104527b66e96096b7246c3c8cd9e29410d5173977080ea34bca8eb01e079c9ea

Aliases

arxiv: 1103.0580 · arxiv_version: 1103.0580v1 · doi: 10.48550/arxiv.1103.0580 · pith_short_12: CBCSPNTOSYEW · pith_short_16: CBCSPNTOSYEWW4SG · pith_short_8: CBCSPNTO

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/CBCSPNTOSYEWW4SGYPEM3HRJIE \
  | 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: 104527b66e96096b7246c3c8cd9e29410d5173977080ea34bca8eb01e079c9ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f86b1db5757dedf57f76f67a0a4c386f79d63235ef4a7859fd14ba3df38067",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-03-02T23:29:22Z",
    "title_canon_sha256": "2473411a411024ff88780719ce4bd540dc977e4c056338b5a94b05f24806ebf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0580",
    "kind": "arxiv",
    "version": 1
  }
}