Pith Number

pith:DJULTZUZ

pith:2016:DJULTZUZTJZKKVOH2X4DDUHBHJ

not attested not anchored not stored refs pending

Variants of the Entropy Power Inequality

Arnaud Marsiglietti, Sergey Bobkov

arxiv:1609.04897 v3 · 2016-09-16 · cs.IT · math.IT · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DJULTZUZTJZKKVOH2X4DDUHBHJ}

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	2026-05-18T00:32:16.360879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a68b9e6999a72a555c7d5f831d0e13a503a0dae9b8dd6d10c8f757124748f26

Aliases

arxiv: 1609.04897 · arxiv_version: 1609.04897v3 · doi: 10.48550/arxiv.1609.04897 · pith_short_12: DJULTZUZTJZK · pith_short_16: DJULTZUZTJZKKVOH · pith_short_8: DJULTZUZ

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/DJULTZUZTJZKKVOH2X4DDUHBHJ \
  | 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: 1a68b9e6999a72a555c7d5f831d0e13a503a0dae9b8dd6d10c8f757124748f26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97aee307651c0cbc08a314cb33bf1c4e4e39bda374a161e3372e9872d40809bb",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-16T01:41:00Z",
    "title_canon_sha256": "387816c8691a4adab1688239984f955917344323c9acf521170952dd6798df4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.04897",
    "kind": "arxiv",
    "version": 3
  }
}