Pith Number

pith:4YEGIOFD

pith:2012:4YEGIOFD7YH5PV3SQYIKI3ITMW

not attested not anchored not stored refs pending

R\'enyi Divergence and Kullback-Leibler Divergence

Peter Harremo\"es, Tim van Erven

arxiv:1206.2459 v2 · 2012-06-12 · cs.IT · math.IT · math.ST · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YEGIOFD7YH5PV3SQYIKI3ITMW}

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	2026-05-18T02:53:27.335985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6086438a3fe0fd7d7728610a46d1365b4c8b462959316c20ac9fe43254182f0

Aliases

arxiv: 1206.2459 · arxiv_version: 1206.2459v2 · doi: 10.48550/arxiv.1206.2459 · pith_short_12: 4YEGIOFD7YH5 · pith_short_16: 4YEGIOFD7YH5PV3S · pith_short_8: 4YEGIOFD

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/4YEGIOFD7YH5PV3SQYIKI3ITMW \
  | 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: e6086438a3fe0fd7d7728610a46d1365b4c8b462959316c20ac9fe43254182f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6513c184dce1d07c19aec458ccd8c581fadb5ca4704467a22abd9178822f3e33",
    "cross_cats_sorted": [
      "math.IT",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-06-12T08:34:47Z",
    "title_canon_sha256": "e7dc8e3c458d6f86b51b3730f897ca909e4aa44c3cf374ec2446000d95389504"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2459",
    "kind": "arxiv",
    "version": 2
  }
}