Pith Number

pith:6F2ZM2W6

pith:2010:6F2ZM2W6EMXBR2XAVN4O6LMMB7

not attested not anchored not stored refs pending

Convergence of distributed asynchronous learning vector quantization algorithms

Beno\^it Patra (LSTA)

arxiv:1012.5150 v2 · 2010-12-23 · 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{6F2ZM2W6EMXBR2XAVN4O6LMMB7}

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	2026-05-18T04:07:29.314154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f175966ade232e18eae0ab78ef2d8c0fc8a63626bcb11c4cd9fca8ad46fd8da1

Aliases

arxiv: 1012.5150 · arxiv_version: 1012.5150v2 · doi: 10.48550/arxiv.1012.5150 · pith_short_12: 6F2ZM2W6EMXB · pith_short_16: 6F2ZM2W6EMXBR2XA · pith_short_8: 6F2ZM2W6

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/6F2ZM2W6EMXBR2XAVN4O6LMMB7 \
  | 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: f175966ade232e18eae0ab78ef2d8c0fc8a63626bcb11c4cd9fca8ad46fd8da1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3b20e2f8316c1b86049264f9686c8830ce0a6d2c9c741c68dd09ae691d916a2",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-23T06:01:28Z",
    "title_canon_sha256": "e7310c114d23408227f38a61076b4373914d10ed5a378a6362b4392ef5b77045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5150",
    "kind": "arxiv",
    "version": 2
  }
}