Pith Number

pith:IVHRHJGW

pith:2007:IVHRHJGWRDMPM4L3YYVIYCFARK

not attested not anchored not stored refs pending

Information Theoretic Proofs of Entropy Power Inequalities

Olivier Rioul

arxiv:0704.1751 v2 · 2007-04-13 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IVHRHJGWRDMPM4L3YYVIYCFARK}

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	2026-05-18T00:58:26.263883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454f13a4d688d8f6717bc62a8c08a08a80ccad615968a21785311557c10342ff

Aliases

arxiv: 0704.1751 · arxiv_version: 0704.1751v2 · doi: 10.48550/arxiv.0704.1751 · pith_short_12: IVHRHJGWRDMP · pith_short_16: IVHRHJGWRDMPM4L3 · pith_short_8: IVHRHJGW

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/IVHRHJGWRDMPM4L3YYVIYCFARK \
  | 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: 454f13a4d688d8f6717bc62a8c08a08a80ccad615968a21785311557c10342ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0fc473079386750682d2fd016e21d1bc8ced1366ca0d68555a1f4c579395906",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-04-13T12:42:07Z",
    "title_canon_sha256": "3e2cf795445e29768e93d5bbbb994baff554aba00c9ef5dfac449c0ea77f8732"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.1751",
    "kind": "arxiv",
    "version": 2
  }
}