Pith Number

pith:J5X2YGVJ

pith:2014:J5X2YGVJJKTW5AIEHEQST4C4IK

not attested not anchored not stored refs pending

A Lower Bound on the Relative Entropy with Respect to a Symmetric Probability

Matthias Gorny, Rapha\"el Cerf

arxiv:1407.0836 v2 · 2014-07-03 · math.PR · math.ST · 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{J5X2YGVJJKTW5AIEHEQST4C4IK}

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	2026-05-18T02:39:48.043117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f6fac1aa94aa76e8104392129f05c42aef91823a0b825579bc31af4c0994092

Aliases

arxiv: 1407.0836 · arxiv_version: 1407.0836v2 · doi: 10.48550/arxiv.1407.0836 · pith_short_12: J5X2YGVJJKTW · pith_short_16: J5X2YGVJJKTW5AIE · pith_short_8: J5X2YGVJ

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/J5X2YGVJJKTW5AIEHEQST4C4IK \
  | 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: 4f6fac1aa94aa76e8104392129f05c42aef91823a0b825579bc31af4c0994092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d346af69212a589308ea4a6153cfe9200ff8bc37d97a9cd6944dbab130bf7d",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-07-03T09:41:39Z",
    "title_canon_sha256": "f764112949efb66c6ab2c92ca50551bb2a5351e30427643669d6d588fac366ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0836",
    "kind": "arxiv",
    "version": 2
  }
}