Pith Number

pith:OYDKRY6U

pith:2017:OYDKRY6UPGXX6YJSAXINDIMSCH

not attested not anchored not stored refs pending

Optimal Transportation to the Entropy-Power Inequality

Olivier Rioul

arxiv:1701.08534 v2 · 2017-01-30 · 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{OYDKRY6UPGXX6YJSAXINDIMSCH}

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	2026-05-18T00:49:31.502763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7606a8e3d479af7f613205d0d1a19211c2baa105601bbbffce42468da3e4d051

Aliases

arxiv: 1701.08534 · arxiv_version: 1701.08534v2 · doi: 10.48550/arxiv.1701.08534 · pith_short_12: OYDKRY6UPGXX · pith_short_16: OYDKRY6UPGXX6YJS · pith_short_8: OYDKRY6U

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/OYDKRY6UPGXX6YJSAXINDIMSCH \
  | 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: 7606a8e3d479af7f613205d0d1a19211c2baa105601bbbffce42468da3e4d051

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "955e48b2972538a09a2c923dd430fe8d6944bd0b3de2e1b14f5fd94fca044d6e",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-01-30T10:36:41Z",
    "title_canon_sha256": "a6b994ef721c34111ab8d9b39ccd916827f78d131886e2ccbe9dc46a603b6def"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08534",
    "kind": "arxiv",
    "version": 2
  }
}