Pith Number

pith:524VJKSH

pith:2012:524VJKSHI2TQATRFDTNR675NVA

not attested not anchored not stored refs pending

The concavity of R\`enyi entropy power

Giuseppe Savar\`e, Giuseppe Toscani

arxiv:1208.1035 v1 · 2012-08-05 · cs.IT · math.FA · 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{524VJKSHI2TQATRFDTNR675NVA}

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	2026-05-18T02:42:54.266770Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeb954aa4746a7004e251cdb1f7fada83770799a5f2705323e08dc635907f123

Aliases

arxiv: 1208.1035 · arxiv_version: 1208.1035v1 · doi: 10.48550/arxiv.1208.1035 · pith_short_12: 524VJKSHI2TQ · pith_short_16: 524VJKSHI2TQATRF · pith_short_8: 524VJKSH

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/524VJKSHI2TQATRFDTNR675NVA \
  | 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: eeb954aa4746a7004e251cdb1f7fada83770799a5f2705323e08dc635907f123

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d0fecef64b2a6f8d9a5b5334ceb9c2a16d2d6f46d0a447eb9923515c67b6a34",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-08-05T16:48:06Z",
    "title_canon_sha256": "dc8739937b4b679c87fe172158d6ca3ad0fa9d22fbf252a6533780f8fe2e5b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1035",
    "kind": "arxiv",
    "version": 1
  }
}