Pith Number

pith:FV5NCSG5

pith:2010:FV5NCSG54P2LTX3GI6N2TT23GP

not attested not anchored not stored refs pending

Empirical estimation of entropy functionals with confidence

Alfred O. Hero III, Kumar Sricharan, Raviv Raich

arxiv:1012.4188 v3 · 2010-12-19 · 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{FV5NCSG54P2LTX3GI6N2TT23GP}

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	2026-05-18T04:01:26.439852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d7ad148dde3f4b9df66479ba9cf5b33c081ecd92da4f8683e0b91e388d4540c

Aliases

arxiv: 1012.4188 · arxiv_version: 1012.4188v3 · doi: 10.48550/arxiv.1012.4188 · pith_short_12: FV5NCSG54P2L · pith_short_16: FV5NCSG54P2LTX3G · pith_short_8: FV5NCSG5

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/FV5NCSG54P2LTX3GI6N2TT23GP \
  | 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: 2d7ad148dde3f4b9df66479ba9cf5b33c081ecd92da4f8683e0b91e388d4540c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3a8b0b5d2f45979da6a588627af560ab84ab6a45eeeba07cdeb6f900d4cf799",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-19T17:03:51Z",
    "title_canon_sha256": "f3375b68319d80d90b68d1f2442b7d4d429eb8e8f79b55b8874fe4b6f74aeffd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4188",
    "kind": "arxiv",
    "version": 3
  }
}