Pith Number

pith:BTBVCIXG

pith:2012:BTBVCIXGACALAYZHIOGAGSTBEY

not attested not anchored not stored refs pending

Normalized Maximum Likelihood Coding for Exponential Family with Its Applications to Optimal Clustering

Kenji Yamanishi, So Hirai

arxiv:1205.3549 v2 · 2012-05-16 · 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{BTBVCIXGACALAYZHIOGAGSTBEY}

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	2026-05-18T03:55:24.435627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cc35122e60080b06327438c034a61260bcbc78aee798d0a3dae9ba0fb1cdfb8

Aliases

arxiv: 1205.3549 · arxiv_version: 1205.3549v2 · doi: 10.48550/arxiv.1205.3549 · pith_short_12: BTBVCIXGACAL · pith_short_16: BTBVCIXGACALAYZH · pith_short_8: BTBVCIXG

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/BTBVCIXGACALAYZHIOGAGSTBEY \
  | 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: 0cc35122e60080b06327438c034a61260bcbc78aee798d0a3dae9ba0fb1cdfb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07df2292b45aff07d357688ea5f168d57ac4fc96b75ca20d06d3a03d872a5d55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2012-05-16T03:54:30Z",
    "title_canon_sha256": "e3ac49b58927031050f9d38bded9e0c8c584e3b882492b76bb397554f2665fbe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3549",
    "kind": "arxiv",
    "version": 2
  }
}