Pith Number

pith:DB6O66ET

pith:2010:DB6O66ETQMDHUKVODTPPFRK54P

not attested not anchored not stored refs pending

Entropy power inequality for a family of discrete random variables

Naresh Sharma, Siddharth Muthukrishnan, Smarajit Das

arxiv:1012.0412 v1 · 2010-12-02 · 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{DB6O66ETQMDHUKVODTPPFRK54P}

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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	2026-05-18T03:55:21.833707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

187cef789383067a2aae1cdef2c55de3e19f48313e12d445a461dedf2399866e

Aliases

arxiv: 1012.0412 · arxiv_version: 1012.0412v1 · doi: 10.48550/arxiv.1012.0412 · pith_short_12: DB6O66ETQMDH · pith_short_16: DB6O66ETQMDHUKVO · pith_short_8: DB6O66ET

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/DB6O66ETQMDHUKVODTPPFRK54P \
  | 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: 187cef789383067a2aae1cdef2c55de3e19f48313e12d445a461dedf2399866e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b937dc24919597db32c3a94d9b05b1a6c66367999070abcd5f872354d26d8c84",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-12-02T13:27:21Z",
    "title_canon_sha256": "6b9ab4484e9edae2f1968719939ec2de4f4b4e4e899f24c278e3ef75eb370f1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0412",
    "kind": "arxiv",
    "version": 1
  }
}