Pith Number

pith:NFG6VYN2

pith:2012:NFG6VYN2JBLD6G3JZ2R4BJ4MO4

not attested not anchored not stored refs pending

Fast rates for empirical vector quantization

Cl\'ement Levrard (UP11, INRIA Saclay - Ile de France), UPMC

arxiv:1201.6052 v1 · 2012-01-29 · 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{NFG6VYN2JBLD6G3JZ2R4BJ4MO4}

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	2026-05-18T04:03:31.756695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

694deae1ba48563f1b69cea3c0a78c770c31ad1412e0fe8c1aad9ce77d0f3c4b

Aliases

arxiv: 1201.6052 · arxiv_version: 1201.6052v1 · doi: 10.48550/arxiv.1201.6052 · pith_short_12: NFG6VYN2JBLD · pith_short_16: NFG6VYN2JBLD6G3J · pith_short_8: NFG6VYN2

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/NFG6VYN2JBLD6G3JZ2R4BJ4MO4 \
  | 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: 694deae1ba48563f1b69cea3c0a78c770c31ad1412e0fe8c1aad9ce77d0f3c4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d42f65b0696362df263bdc13a35df351cf421f84966d42fcb1177f8f0069f7a",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-01-29T16:11:55Z",
    "title_canon_sha256": "d0d05d67508eca423e9ffacb9f2b17b6b20138e4021a4761137b0b496252471f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6052",
    "kind": "arxiv",
    "version": 1
  }
}