Pith Number

pith:B35DB5OZ

pith:2010:B35DB5OZXYRCDYVQYPC7V5SPN2

not attested not anchored not stored refs pending

Intrinsic stationarity for vector quantization: Foundation of dual quantization

Benedikt Wilbertz (LPMA), Gilles Pag\`es (LPMA)

arxiv:1010.4642 v2 · 2010-10-22 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B35DB5OZXYRCDYVQYPC7V5SPN2}

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	2026-05-18T03:29:05.349766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0efa30f5d9be2221e2b0c3c5faf64f6e927983e37e2197ec658be7200e10428c

Aliases

arxiv: 1010.4642 · arxiv_version: 1010.4642v2 · doi: 10.48550/arxiv.1010.4642 · pith_short_12: B35DB5OZXYRC · pith_short_16: B35DB5OZXYRCDYVQ · pith_short_8: B35DB5OZ

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/B35DB5OZXYRCDYVQYPC7V5SPN2 \
  | 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: 0efa30f5d9be2221e2b0c3c5faf64f6e927983e37e2197ec658be7200e10428c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b04b04644499650dc339178ece0a33bb287e641641510323266ae96700f4de6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-22T08:55:14Z",
    "title_canon_sha256": "5af9ce5f9a61bcf6814119eaf2dcaeb99dbaba60b2053038740a13583782ec61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4642",
    "kind": "arxiv",
    "version": 2
  }
}