Pith Number

pith:MJMN5LZP

pith:2013:MJMN5LZPY4ZE4XB7JB274MKM3R

not attested not anchored not stored refs pending

Global Rates of Convergence of the MLEs of Log-concave and s-concave Densities

Charles R. Doss, Jon A. Wellner

arxiv:1306.1438 v3 · 2013-06-06 · 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{MJMN5LZPY4ZE4XB7JB274MKM3R}

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	2026-05-18T01:33:07.062278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6258deaf2fc7324e5c3f4875fe314cdc61f01c96c1beb67826ea845c8b67611c

Aliases

arxiv: 1306.1438 · arxiv_version: 1306.1438v3 · doi: 10.48550/arxiv.1306.1438 · pith_short_12: MJMN5LZPY4ZE · pith_short_16: MJMN5LZPY4ZE4XB7 · pith_short_8: MJMN5LZP

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/MJMN5LZPY4ZE4XB7JB274MKM3R \
  | 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: 6258deaf2fc7324e5c3f4875fe314cdc61f01c96c1beb67826ea845c8b67611c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eaefd1ad1db25c96e35deaf61b3ac26b44f028afce08cd9158daf352277d325",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-06-06T15:30:18Z",
    "title_canon_sha256": "fbbf0c0a53a1c5e9ee759ece99c922998715fdf39c8767d1cd66bdea7db10654"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1438",
    "kind": "arxiv",
    "version": 3
  }
}