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Pith Number

pith:OLZZ66EX

pith:2012:OLZZ66EX6BNDRY5SN6QPKOTLO6
not attested not anchored not stored refs pending

The entropy power inequality for quantum systems

Graeme Smith, Robert Koenig

arxiv:1205.3409 v2 · 2012-05-15 · quant-ph · cs.IT · math-ph · math.IT · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{OLZZ66EX6BNDRY5SN6QPKOTLO6}

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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 2026-05-18T02:58:32.871599Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

72f39f7897f05a38e3b26fa0f53a6b77a5c9dcca06c24bfd19c60510c9a52271

Aliases

arxiv: 1205.3409 · arxiv_version: 1205.3409v2 · doi: 10.48550/arxiv.1205.3409 · pith_short_12: OLZZ66EX6BND · pith_short_16: OLZZ66EX6BNDRY5S · pith_short_8: OLZZ66EX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/OLZZ66EX6BNDRY5SN6QPKOTLO6 \
  | 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: 72f39f7897f05a38e3b26fa0f53a6b77a5c9dcca06c24bfd19c60510c9a52271
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1de3dc5b4dc9e5da0bc762ed707747cf7bf2793eba4357db42c47104be67b968",
    "cross_cats_sorted": [
      "cs.IT",
      "math-ph",
      "math.IT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-05-15T15:17:17Z",
    "title_canon_sha256": "3e78c9dcf6f7dd5e836ef2cbea4b0c0f7e5169e90ec0330808ee8ca29cd1c868"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3409",
    "kind": "arxiv",
    "version": 2
  }
}