Pith Number

pith:MXKALWJD

pith:2012:MXKALWJDPZZ6VOPKADLBMZQLEJ

not attested not anchored not stored refs pending

Chernoff's density is log-concave

Fadoua Balabdaoui, Jon A. Wellner

arxiv:1203.0828 v2 · 2012-03-05 · 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{MXKALWJDPZZ6VOPKADLBMZQLEJ}

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	2026-05-18T03:00:11.586357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65d405d9237e73eab9ea00d616660b227f0a0099b6e99d8f93294f0f2db04111

Aliases

arxiv: 1203.0828 · arxiv_version: 1203.0828v2 · doi: 10.48550/arxiv.1203.0828 · pith_short_12: MXKALWJDPZZ6 · pith_short_16: MXKALWJDPZZ6VOPK · pith_short_8: MXKALWJD

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/MXKALWJDPZZ6VOPKADLBMZQLEJ \
  | 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: 65d405d9237e73eab9ea00d616660b227f0a0099b6e99d8f93294f0f2db04111

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3c4f859d9badea1ed075722660758aea097316083219d6786ed872dc5092bb6",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2012-03-05T08:26:33Z",
    "title_canon_sha256": "f5759b3f5c9552c86f0ed8c93947700aef1f9fbcba0433f4b67ec896a0d692f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0828",
    "kind": "arxiv",
    "version": 2
  }
}