Pith Number

pith:J6I5SMYL

pith:2017:J6I5SMYLCZSDPGEV3BDW2VRYJG

not attested not anchored not stored refs pending

The conditional Entropy Power Inequality for bosonic quantum systems

Dario Trevisan, Giacomo De Palma

arxiv:1706.00440 v2 · 2017-06-01 · math-ph · cs.IT · math.IT · math.MP · math.PR · 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{J6I5SMYLCZSDPGEV3BDW2VRYJG}

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	2026-05-18T00:14:28.952553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f91d9330b1664379895d8476d563849a21926237da8a6f2ce63cc68a60059c7

Aliases

arxiv: 1706.00440 · arxiv_version: 1706.00440v2 · doi: 10.48550/arxiv.1706.00440 · pith_short_12: J6I5SMYLCZSD · pith_short_16: J6I5SMYLCZSDPGEV · pith_short_8: J6I5SMYL

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/J6I5SMYLCZSDPGEV3BDW2VRYJG \
  | 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: 4f91d9330b1664379895d8476d563849a21926237da8a6f2ce63cc68a60059c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86adc501cf74a643509afa8f38f862ebb649945d74392306aca85ae078087832",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.MP",
      "math.PR",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-01T18:00:35Z",
    "title_canon_sha256": "ddd9959a7a32e4a1cda9125f9818136d482055b3177ed0606b03e9922d0f35f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.00440",
    "kind": "arxiv",
    "version": 2
  }
}