Pith Number

pith:KZ3KFJ46

pith:2014:KZ3KFJ4656TCNW7DI77TSNX62N

not attested not anchored not stored refs pending

The multi-mode quantum Entropy Power Inequality

Andrea Mari, Giacomo De Palma, Seth Lloyd, Vittorio Giovannetti

arxiv:1408.6410 v2 · 2014-08-27 · 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{KZ3KFJ4656TCNW7DI77TSNX62N}

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	2026-05-18T02:20:12.493804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5676a2a79eefa626dbe347ff3936fed3588d4f5f2a24f1b91848ccd10b1db8c5

Aliases

arxiv: 1408.6410 · arxiv_version: 1408.6410v2 · doi: 10.48550/arxiv.1408.6410 · pith_short_12: KZ3KFJ4656TC · pith_short_16: KZ3KFJ4656TCNW7D · pith_short_8: KZ3KFJ46

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/KZ3KFJ4656TCNW7DI77TSNX62N \
  | 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: 5676a2a79eefa626dbe347ff3936fed3588d4f5f2a24f1b91848ccd10b1db8c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b834638a8b7c3d89fdad48016ee2812c87f4e5f94b7aee492ddbc5b858ed61d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-08-27T13:40:24Z",
    "title_canon_sha256": "7684315627692ac19a1527c928808f630918a4a9f798edc145e363e5477117a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.6410",
    "kind": "arxiv",
    "version": 2
  }
}