Pith Number

pith:JALTZI7J

pith:2016:JALTZI7JUMDAKHRCDADXTZFTDH

not attested not anchored not stored refs pending

Wasserstein Stability of the Entropy Power Inequality for Log-Concave Densities

Ashwin Pananjady, Max Fathi, Thomas A. Courtade

arxiv:1610.07969 v1 · 2016-10-25 · cs.IT · math.FA · 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{JALTZI7JUMDAKHRCDADXTZFTDH}

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	2026-05-18T01:01:17.073575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48173ca3e9a306051e22180779e4b319ddcb62faa4e2b02224f9c7d44f3f0f58

Aliases

arxiv: 1610.07969 · arxiv_version: 1610.07969v1 · doi: 10.48550/arxiv.1610.07969 · pith_short_12: JALTZI7JUMDA · pith_short_16: JALTZI7JUMDAKHRC · pith_short_8: JALTZI7J

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/JALTZI7JUMDAKHRCDADXTZFTDH \
  | 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: 48173ca3e9a306051e22180779e4b319ddcb62faa4e2b02224f9c7d44f3f0f58

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b365626de73809e4b0dcacc190d808c1eafe630dfbdd7c50f3f38c5b597c1dae",
    "cross_cats_sorted": [
      "math.FA",
      "math.IT",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-25T17:15:48Z",
    "title_canon_sha256": "10b86eaa96085d5844a1bbeffc74b24291213bfdd80109408fb62a346da2babc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07969",
    "kind": "arxiv",
    "version": 1
  }
}