Pith Number

pith:6U6VBSU2

pith:2013:6U6VBSU2ICKUATBIN53G5VDSMW

not attested not anchored not stored refs pending

Monotonicity of the von Neumann entropy expressed as a function of R\'enyi entropies

Mark Fannes

arxiv:1310.5941 v1 · 2013-10-22 · 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{6U6VBSU2ICKUATBIN53G5VDSMW}

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	2026-05-18T03:09:23.953327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f53d50ca9a4095404c286f766ed47265bf319df7c53e08bc62a9b6af981a0325

Aliases

arxiv: 1310.5941 · arxiv_version: 1310.5941v1 · doi: 10.48550/arxiv.1310.5941 · pith_short_12: 6U6VBSU2ICKU · pith_short_16: 6U6VBSU2ICKUATBI · pith_short_8: 6U6VBSU2

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/6U6VBSU2ICKUATBIN53G5VDSMW \
  | 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: f53d50ca9a4095404c286f766ed47265bf319df7c53e08bc62a9b6af981a0325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652d145e6fb381f970d77b84a8bb00655637b63be232b13c8317710d058b1a9b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-10-22T14:48:42Z",
    "title_canon_sha256": "29e95bfe6364cacbca938907ff65fd78a0fe705b3b74e802b16e4aaf8316a256"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5941",
    "kind": "arxiv",
    "version": 1
  }
}