Pith Number

pith:53YWQYSJ

pith:2014:53YWQYSJFSKNM54KNZGHQGHV2B

not attested not anchored not stored refs pending

How multiplicity determines entropy and the derivation of the maximum entropy principle for complex systems

Murray Gell-Mann, Rudolf Hanel, Stefan Thurner

arxiv:1404.5650 v1 · 2014-04-22 · physics.class-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53YWQYSJFSKNM54KNZGHQGHV2B}

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	2026-05-18T01:03:37.153992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eef16862492c94d6778a6e4c7818f5d04454f76f0e6c5365d0bd848a6c8f5df9

Aliases

arxiv: 1404.5650 · arxiv_version: 1404.5650v1 · doi: 10.48550/arxiv.1404.5650 · pith_short_12: 53YWQYSJFSKN · pith_short_16: 53YWQYSJFSKNM54K · pith_short_8: 53YWQYSJ

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/53YWQYSJFSKNM54KNZGHQGHV2B \
  | 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: eef16862492c94d6778a6e4c7818f5d04454f76f0e6c5365d0bd848a6c8f5df9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0bd2543f656a8efbaa0e4ae064b2dc4e92dc0b91f44772ad990f99f4fddd2d7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2014-04-22T21:05:23Z",
    "title_canon_sha256": "95f69824d9ca23c5dd45fcc35aaf45543dfa91ce07a634a0adc3c09e76dbd9f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5650",
    "kind": "arxiv",
    "version": 1
  }
}