Pith Number

pith:4Z4ZTOMW

pith:2016:4Z4ZTOMWXSBK3XAVEUPH4AQVI6

not attested not anchored not stored refs pending

Yet Another Proof of the Entropy Power Inequality

Olivier Rioul

arxiv:1606.05969 v3 · 2016-06-20 · 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{4Z4ZTOMWXSBK3XAVEUPH4AQVI6}

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	2026-05-18T00:50:22.137098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e67999b996bc82addc15251e7e021547ba7f0ff6f69c4212b34176e1d40bfa21

Aliases

arxiv: 1606.05969 · arxiv_version: 1606.05969v3 · doi: 10.48550/arxiv.1606.05969 · pith_short_12: 4Z4ZTOMWXSBK · pith_short_16: 4Z4ZTOMWXSBK3XAV · pith_short_8: 4Z4ZTOMW

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/4Z4ZTOMWXSBK3XAVEUPH4AQVI6 \
  | 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: e67999b996bc82addc15251e7e021547ba7f0ff6f69c4212b34176e1d40bfa21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "135ca718ef2462690a8b3b58ccce95c8b0dff5c650137cd22660b9d0fedb7267",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-06-20T04:32:23Z",
    "title_canon_sha256": "957f0b94847826879f4c79ab7895bf2c4850631f633cd59e5f991afbaf735cb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.05969",
    "kind": "arxiv",
    "version": 3
  }
}