Pith Number

pith:VBK2WEL6

pith:2011:VBK2WEL6KIRUAP3TVHBC4T3OJN

not attested not anchored not stored refs pending

What do generalized entropies look like? An axiomatic approach for complex, non-ergodic systems

Rudolf Hanel, Stefan Thurner

arxiv:1104.2070 v1 · 2011-04-11 · 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{VBK2WEL6KIRUAP3TVHBC4T3OJN}

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	2026-05-18T02:22:09.868604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a855ab117e5223403f73a9c22e4f6e4b5c9989e4601cbfdb55be486794a6db7e

Aliases

arxiv: 1104.2070 · arxiv_version: 1104.2070v1 · doi: 10.48550/arxiv.1104.2070 · pith_short_12: VBK2WEL6KIRU · pith_short_16: VBK2WEL6KIRUAP3T · pith_short_8: VBK2WEL6

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/VBK2WEL6KIRUAP3TVHBC4T3OJN \
  | 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: a855ab117e5223403f73a9c22e4f6e4b5c9989e4601cbfdb55be486794a6db7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f600d54f25b262d074850c72329e17a56866ef049726d622848df59f17c5e57f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-04-11T21:19:25Z",
    "title_canon_sha256": "50219759cc1033670b80f2ed03fcf35e73c3303bfb65135302a88e05d235d07b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.2070",
    "kind": "arxiv",
    "version": 1
  }
}