Pith Number

pith:X3F7G5XN

pith:2009:X3F7G5XNH3YJ675B25AKUIURZJ

not attested not anchored not stored refs pending

Posterior Inference in Curved Exponential Families under Increasing Dimensions

Alexandre Belloni, Victor Chernozhukov

arxiv:0904.3132 v4 · 2009-04-20 · math.ST · econ.EM · math.PR · stat.ME · 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{X3F7G5XNH3YJ675B25AKUIURZJ}

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	2026-05-18T00:33:44.567751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

becbf376ed3ef09f7fa1d740aa2291ca7ced64f392c53ea826bef144d0a8a97b

Aliases

arxiv: 0904.3132 · arxiv_version: 0904.3132v4 · doi: 10.48550/arxiv.0904.3132 · pith_short_12: X3F7G5XNH3YJ · pith_short_16: X3F7G5XNH3YJ675B · pith_short_8: X3F7G5XN

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/X3F7G5XNH3YJ675B25AKUIURZJ \
  | 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: becbf376ed3ef09f7fa1d740aa2291ca7ced64f392c53ea826bef144d0a8a97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22314a12b3c93e7eaf87e71902c5788d8cc33417012929a92341375f25b690f9",
    "cross_cats_sorted": [
      "econ.EM",
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2009-04-20T22:41:12Z",
    "title_canon_sha256": "510a860db1dca7d9160883070b4edb0878fb02ffadd76cb634e3beb405d193c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3132",
    "kind": "arxiv",
    "version": 4
  }
}