Pith Number

pith:72CV67SU

pith:2010:72CV67SU6JQD2DKUJ7P2V4XMCG

not attested not anchored not stored refs pending

From quasi-entropy

Denes Petz

arxiv:1009.2679 v1 · 2010-09-14 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{72CV67SU6JQD2DKUJ7P2V4XMCG}

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.

Cited by

1 paper in Pith

Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems

Receipt and verification

First computed	2026-05-18T04:40:56.582288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe855f7e54f2603d0d544fdfaaf2ec11a614cc19e5b91db33631c60dcbd6987a

Aliases

arxiv: 1009.2679 · arxiv_version: 1009.2679v1 · doi: 10.48550/arxiv.1009.2679 · pith_short_12: 72CV67SU6JQD · pith_short_16: 72CV67SU6JQD2DKU · pith_short_8: 72CV67SU

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/72CV67SU6JQD2DKUJ7P2V4XMCG \
  | 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: fe855f7e54f2603d0d544fdfaaf2ec11a614cc19e5b91db33631c60dcbd6987a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b9cb4bbed014d609e4ee6f6d72816651d518ebf38983500868705f29a1983fb",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-09-14T14:27:38Z",
    "title_canon_sha256": "71f97aaa7bd8691775bc814059eb02e9a12a923005ff42f7165521ce4f8aabb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2679",
    "kind": "arxiv",
    "version": 1
  }
}