Pith Number

pith:D6OCX2OJ

pith:2010:D6OCX2OJYOF7OAQPPYY6RI32LK

not attested not anchored not stored refs pending

Asymptotic law of likelihood ratio for multilayer perceptron models

Joseph Rynkiewicz (SAMM)

arxiv:1011.6039 v1 · 2010-11-28 · 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{D6OCX2OJYOF7OAQPPYY6RI32LK}

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	2026-05-18T04:34:27.057830Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f9c2be9c9c38bf7020f7e31e8a37a5abc66f26be6329c71acdf811f7039ef7d

Aliases

arxiv: 1011.6039 · arxiv_version: 1011.6039v1 · doi: 10.48550/arxiv.1011.6039 · pith_short_12: D6OCX2OJYOF7 · pith_short_16: D6OCX2OJYOF7OAQP · pith_short_8: D6OCX2OJ

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/D6OCX2OJYOF7OAQPPYY6RI32LK \
  | 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: 1f9c2be9c9c38bf7020f7e31e8a37a5abc66f26be6329c71acdf811f7039ef7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d35f7efa7d189360814c704db754bbe8331bf4022c67690511fe83f1cc0c3a91",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-11-28T12:58:58Z",
    "title_canon_sha256": "8168a39ff0253fd53d197ba8b27c986601109b2c03b947dd5e3b2e06be4ea963"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6039",
    "kind": "arxiv",
    "version": 1
  }
}