Pith Number

pith:WWBFQNJG

pith:2012:WWBFQNJG4ZSSF25RHWIOCTXEJD

not attested not anchored not stored refs pending

Measures of Entropy from Data Using Infinitely Divisible Kernels

Jose C. Principe, Luis G. Sanchez Giraldo, Murali Rao

arxiv:1211.2459 v3 · 2012-11-11 · cs.LG · cs.IT · math.IT · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WWBFQNJG4ZSSF25RHWIOCTXEJD}

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	2026-05-18T02:43:52.506998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b582583526e66522ebb13d90e14ee448cc07ae724b020f0e30c857ea449481a2

Aliases

arxiv: 1211.2459 · arxiv_version: 1211.2459v3 · doi: 10.48550/arxiv.1211.2459 · pith_short_12: WWBFQNJG4ZSS · pith_short_16: WWBFQNJG4ZSSF25R · pith_short_8: WWBFQNJG

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/WWBFQNJG4ZSSF25RHWIOCTXEJD \
  | 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: b582583526e66522ebb13d90e14ee448cc07ae724b020f0e30c857ea449481a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e258e95e142a793a26d5d14935b61000297597f0159711d1c4d65ec437c3904a",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-11-11T20:49:28Z",
    "title_canon_sha256": "ca8f495a6baa3732a728789461637b0fd25264c1a3f130c77c65853f4bce90a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2459",
    "kind": "arxiv",
    "version": 3
  }
}