Pith Number

pith:747ZUAA2

pith:2011:747ZUAA2AUHAWA2VNDVXZRU2AU

not attested not anchored not stored refs pending

A recursive procedure for density estimation on the binary hypercube

Jorge Silva, Maxim Raginsky, Rebecca Willett, Svetlana Lazebnik

arxiv:1112.1450 v2 · 2011-12-07 · 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{747ZUAA2AUHAWA2VNDVXZRU2AU}

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	2026-05-18T03:39:41.863585Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff3f9a001a050e0b035568eb7cc69a0535ee301e87f6b0b47ca8437683d96461

Aliases

arxiv: 1112.1450 · arxiv_version: 1112.1450v2 · doi: 10.48550/arxiv.1112.1450 · pith_short_12: 747ZUAA2AUHA · pith_short_16: 747ZUAA2AUHAWA2V · pith_short_8: 747ZUAA2

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/747ZUAA2AUHAWA2VNDVXZRU2AU \
  | 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: ff3f9a001a050e0b035568eb7cc69a0535ee301e87f6b0b47ca8437683d96461

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125cf2687f5e38461462002329bb613ff0651d1d819d64cd89e2292118fc6a3a",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-12-07T00:30:17Z",
    "title_canon_sha256": "d6051068986af030eb7c05abc3cd970794599f79dac735df138b4dd8a35db969"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1450",
    "kind": "arxiv",
    "version": 2
  }
}