Pith Number

pith:5GIWYFZI

pith:2012:5GIWYFZINBYG3CFQRGXIJAFSS7

not attested not anchored not stored refs pending

Asymptotic normality of maximum likelihood and its variational approximation for stochastic blockmodels

David Choi, Hai Zhang, Peter Bickel, Xiangyu Chang

arxiv:1207.0865 v3 · 2012-07-04 · math.ST · cs.SI · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5GIWYFZINBYG3CFQRGXIJAFSS7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:08:38.484123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9916c172868706d88b089ae8480b297d1b226185bce43f6d193640728b17ad4

Aliases

arxiv: 1207.0865 · arxiv_version: 1207.0865v3 · doi: 10.48550/arxiv.1207.0865 · pith_short_12: 5GIWYFZINBYG · pith_short_16: 5GIWYFZINBYG3CFQ · pith_short_8: 5GIWYFZI

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/5GIWYFZINBYG3CFQRGXIJAFSS7 \
  | 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: e9916c172868706d88b089ae8480b297d1b226185bce43f6d193640728b17ad4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "496574fd32863a3a4a381bafd4d0fee77f5302f45d17edc89587b8b2ad7bddb3",
    "cross_cats_sorted": [
      "cs.SI",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-07-04T00:54:07Z",
    "title_canon_sha256": "0c773b0f483eaecbc9d0a63f3b584d6bdc5f813dc7245da3d79c4b225a75f830"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0865",
    "kind": "arxiv",
    "version": 3
  }
}