Pith Number

pith:46XBVI2K

pith:2015:46XBVI2KUTAH3Q2QN7Z2P7ZSBH

not attested not anchored not stored refs pending

Some Insights About the Small Ball Probability Factorization for Hilbert Random Elements

Aldo Goia, Enea Bongiorno

arxiv:1501.04308 v2 · 2015-01-18 · math.PR · math.ST · stat.AP · stat.ME · 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{46XBVI2KUTAH3Q2QN7Z2P7ZSBH}

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	2026-05-18T01:18:10.106341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7ae1aa34aa4c07dc3506ff3a7ff3209c825c7c68ad3c9dbc352147bed41cba0

Aliases

arxiv: 1501.04308 · arxiv_version: 1501.04308v2 · doi: 10.48550/arxiv.1501.04308 · pith_short_12: 46XBVI2KUTAH · pith_short_16: 46XBVI2KUTAH3Q2Q · pith_short_8: 46XBVI2K

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/46XBVI2KUTAH3Q2QN7Z2P7ZSBH \
  | 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: e7ae1aa34aa4c07dc3506ff3a7ff3209c825c7c68ad3c9dbc352147bed41cba0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "997f17236102b7a19db4c29eb57703c44a3a84b072272c1819d5524b127ecb22",
    "cross_cats_sorted": [
      "math.ST",
      "stat.AP",
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-01-18T14:48:30Z",
    "title_canon_sha256": "36ab0dd95810fb1cadad7a79405137b086ab9772cab2571ce5b68d139cea76b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04308",
    "kind": "arxiv",
    "version": 2
  }
}