Pith Number

pith:B5V5JPVV

pith:2018:B5V5JPVV5UCMJZD3BT5DZWZLCV

not attested not anchored not stored refs pending

R\'enyi Entropy Power Inequalities via Normal Transport and Rotation

Olivier Rioul

arxiv:1807.02622 v2 · 2018-07-07 · 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{B5V5JPVV5UCMJZD3BT5DZWZLCV}

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	2026-05-18T00:03:15.978086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6bd4beb5ed04c4e47b0cfa3cdb2b156f0208f17601c9e6462c9d5e1d5661f8

Aliases

arxiv: 1807.02622 · arxiv_version: 1807.02622v2 · doi: 10.48550/arxiv.1807.02622 · pith_short_12: B5V5JPVV5UCM · pith_short_16: B5V5JPVV5UCMJZD3 · pith_short_8: B5V5JPVV

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/B5V5JPVV5UCMJZD3BT5DZWZLCV \
  | 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: 0f6bd4beb5ed04c4e47b0cfa3cdb2b156f0208f17601c9e6462c9d5e1d5661f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cb839964571a41f05122963ef6f8c983bdbc1ee915674e41350757d2c70ca8d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2018-07-07T06:56:25Z",
    "title_canon_sha256": "ac706d1340c2a64f89f0d13c48933d494e460e9829b522abbbd46e6bdbc44e69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02622",
    "kind": "arxiv",
    "version": 2
  }
}