Pith Number

pith:5D3HXODJ

pith:2015:5D3HXODJ5MLVYN3XJEL2UIF5XQ

not attested not anchored not stored refs pending

Understanding von Neumann's entropy

Jonas Maziero

arxiv:1502.04489 v2 · 2015-02-16 · quant-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{5D3HXODJ5MLVYN3XJEL2UIF5XQ}

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	2026-05-18T01:58:26.856417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8f67bb869eb175c37774917aa20bdbc1f7db4ab728a65f692f17a605977a29c

Aliases

arxiv: 1502.04489 · arxiv_version: 1502.04489v2 · doi: 10.48550/arxiv.1502.04489 · pith_short_12: 5D3HXODJ5MLV · pith_short_16: 5D3HXODJ5MLVYN3X · pith_short_8: 5D3HXODJ

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/5D3HXODJ5MLVYN3XJEL2UIF5XQ \
  | 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: e8f67bb869eb175c37774917aa20bdbc1f7db4ab728a65f692f17a605977a29c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667a190e37234136f321cb2f45517e4130075bcb54e888450bce2d8023c78f36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2015-02-16T10:47:04Z",
    "title_canon_sha256": "b58b0fa05c72148afc24410ea4ee3c5332006ea4f4ee0b405498c51eb0f92c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04489",
    "kind": "arxiv",
    "version": 2
  }
}