Pith Number

pith:UBP37HGF

pith:2010:UBP37HGF2UAD5L452RZNECD2NS

not attested not anchored not stored refs pending

Functional quantization-based stratified sampling methods

Gilles Pag\`es (LPMA), Sylvain Corlay (LPMA)

arxiv:1008.4441 v2 · 2010-08-26 · math.PR · 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{UBP37HGF2UAD5L452RZNECD2NS}

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	2026-05-18T02:41:09.363509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05fbf9cc5d5003eaf9dd472d2087a6c8a326942ad4aba39aba11fddccd62596

Aliases

arxiv: 1008.4441 · arxiv_version: 1008.4441v2 · doi: 10.48550/arxiv.1008.4441 · pith_short_12: UBP37HGF2UAD · pith_short_16: UBP37HGF2UAD5L45 · pith_short_8: UBP37HGF

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/UBP37HGF2UAD5L452RZNECD2NS \
  | 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: a05fbf9cc5d5003eaf9dd472d2087a6c8a326942ad4aba39aba11fddccd62596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87518e2f5123cbc893a5d2cc449c87747591d86a228a63fef938e08b63d54928",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-26T06:56:50Z",
    "title_canon_sha256": "2579306aabdc4272eb901b4047d99c4fa26d7cdb5a698a9ffa343e8ca2b3f448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4441",
    "kind": "arxiv",
    "version": 2
  }
}