Pith Number

pith:UZPUJNNX

pith:2013:UZPUJNNXZDJRY4VVV7FKSRJF36

not attested not anchored not stored refs pending

The conditional entropy power inequality for Gaussian quantum states

Robert Koenig

arxiv:1304.7031 v1 · 2013-04-25 · 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{UZPUJNNXZDJRY4VVV7FKSRJF36}

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	2026-05-18T01:50:21.622204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a65f44b5b7c8d31c72b5afcaa94525df8854fd282aac808aa7dc46b36337eab8

Aliases

arxiv: 1304.7031 · arxiv_version: 1304.7031v1 · doi: 10.48550/arxiv.1304.7031 · pith_short_12: UZPUJNNXZDJR · pith_short_16: UZPUJNNXZDJRY4VV · pith_short_8: UZPUJNNX

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/UZPUJNNXZDJRY4VVV7FKSRJF36 \
  | 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: a65f44b5b7c8d31c72b5afcaa94525df8854fd282aac808aa7dc46b36337eab8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d29e745aa4f6d2c1c81033b585e1e98a7730649c3ec5442455ebe15acae64d8e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2013-04-25T21:47:22Z",
    "title_canon_sha256": "f0334ca8600bca43edac2d0d93b6d48916875a13a33c0024f00eed1142e2f435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.7031",
    "kind": "arxiv",
    "version": 1
  }
}