Pith Number

pith:AJ334J3H

pith:2008:AJ334J3HDQMVXOLIOXERTZNALO

not attested not anchored not stored refs pending

Uniform-in-bandwidth consistency for kernel-type estimators of Shannon's entropy

Issam Elhattab (LSTA), Salim Bouzebda (LSTA)

arxiv:0807.2153 v4 · 2008-07-14 · 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{AJ334J3HDQMVXOLIOXERTZNALO}

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	2026-05-17T23:52:08.875525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0277be27671c195bb96875c919e5a05bbb64c5a20d27e97bf57dadcaafaa76a4

Aliases

arxiv: 0807.2153 · arxiv_version: 0807.2153v4 · doi: 10.48550/arxiv.0807.2153 · pith_short_12: AJ334J3HDQMV · pith_short_16: AJ334J3HDQMVXOLI · pith_short_8: AJ334J3H

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/AJ334J3HDQMVXOLIOXERTZNALO \
  | 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: 0277be27671c195bb96875c919e5a05bbb64c5a20d27e97bf57dadcaafaa76a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938e44d22eeed171d0b5a0193ac8497bba7a179c5a6604eefec2c15cd8f1c760",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2008-07-14T16:27:13Z",
    "title_canon_sha256": "e741cbd941a6fd90f974bffce1f17009f507d33b71ba5f5a4b1462b1e1f8b12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0807.2153",
    "kind": "arxiv",
    "version": 4
  }
}