Pith Number

pith:Y5BVFSLO

pith:2011:Y5BVFSLOCLVP7FQ72CCKGTQMBE

not attested not anchored not stored refs pending

Generic Multiplicative Methods for Implementing Machine Learning Algorithms on MapReduce

Nello Cristianini, Peter Flach, Song Liu

arxiv:1111.2111 v2 · 2011-11-09 · cs.DS · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5BVFSLOCLVP7FQ72CCKGTQMBE}

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	2026-05-18T04:07:07.516218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c74352c96e12eaff961fd084a34e0c09048e48a9e18f6a4a2a29b5fbd6ce431e

Aliases

arxiv: 1111.2111 · arxiv_version: 1111.2111v2 · doi: 10.48550/arxiv.1111.2111 · pith_short_12: Y5BVFSLOCLVP · pith_short_16: Y5BVFSLOCLVP7FQ7 · pith_short_8: Y5BVFSLO

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/Y5BVFSLOCLVP7FQ72CCKGTQMBE \
  | 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: c74352c96e12eaff961fd084a34e0c09048e48a9e18f6a4a2a29b5fbd6ce431e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "451dd237e670ac7e1784957d721b1cfb40a299e540c19b197efdeda948103552",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-11-09T06:39:17Z",
    "title_canon_sha256": "1ed5ba3889ed65255678cad7c87116c37eea6e764c2a95530ed5f3a79ad2ab35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2111",
    "kind": "arxiv",
    "version": 2
  }
}