Pith Number

pith:J2CSAR22

pith:2016:J2CSAR22QA4MPFXZXYMY4EKGKP

not attested not anchored not stored refs pending

A central limit theorem for the Hellinger loss of Grenander type estimators

Eni Musta, Hendrik P. Lopuha\"a

arxiv:1612.06647 v1 · 2016-12-20 · 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{J2CSAR22QA4MPFXZXYMY4EKGKP}

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	2026-05-18T00:54:25.151362Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e8520475a8038c796f9be198e114653c95270521d89872362343b6419e19e8b

Aliases

arxiv: 1612.06647 · arxiv_version: 1612.06647v1 · doi: 10.48550/arxiv.1612.06647 · pith_short_12: J2CSAR22QA4M · pith_short_16: J2CSAR22QA4MPFXZ · pith_short_8: J2CSAR22

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/J2CSAR22QA4MPFXZXYMY4EKGKP \
  | 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: 4e8520475a8038c796f9be198e114653c95270521d89872362343b6419e19e8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a770c4b2f0fe7b60de6e24fafd62383f18128d5f5e6b7b969b677092b00c99",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-12-20T13:21:28Z",
    "title_canon_sha256": "02b15ef0dbc65288170d4298e67b5688289015dc59b61ea9d8f3c76e4aa266da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.06647",
    "kind": "arxiv",
    "version": 1
  }
}