Pith Number

pith:KDKREPRN

pith:2012:KDKREPRNSOCDLK34P6373KGFYQ

not attested not anchored not stored refs pending

An efficient model-free estimation of multiclass conditional probability

Junhui Wang, Tu Xu

arxiv:1209.4951 v3 · 2012-09-22 · stat.ML · cs.LG · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KDKREPRNSOCDLK34P6373KGFYQ}

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	2026-05-18T03:17:00.331994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50d5123e2d938435ab7c7fb7fda8c5c42b585c3eda10884b4e3673436a408455

Aliases

arxiv: 1209.4951 · arxiv_version: 1209.4951v3 · doi: 10.48550/arxiv.1209.4951 · pith_short_12: KDKREPRNSOCD · pith_short_16: KDKREPRNSOCDLK34 · pith_short_8: KDKREPRN

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/KDKREPRNSOCDLK34P6373KGFYQ \
  | 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: 50d5123e2d938435ab7c7fb7fda8c5c42b585c3eda10884b4e3673436a408455

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5163e1b1b11b6914a670192f0206014cfe5168060f1f774d73173e77619bfad1",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2012-09-22T01:50:43Z",
    "title_canon_sha256": "d1535c831a7f2d5d56e77ec5b88d175200b1d886882f5315e5c0c9180bc612ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4951",
    "kind": "arxiv",
    "version": 3
  }
}