Pith Number

pith:XVI3QRJ5

pith:2010:XVI3QRJ52CHL6XXBV37D36GWVU

not attested not anchored not stored refs pending

Quasi-concave density estimation

Ivan Mizera, Roger Koenker

arxiv:1007.4013 v2 · 2010-07-22 · stat.ME · 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{XVI3QRJ52CHL6XXBV37D36GWVU}

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	2026-05-18T04:35:56.803079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd51b8453dd08ebf5ee1aefe3df8d6ad17ae02783e320f029ef7eece469b000a

Aliases

arxiv: 1007.4013 · arxiv_version: 1007.4013v2 · doi: 10.48550/arxiv.1007.4013 · pith_short_12: XVI3QRJ52CHL · pith_short_16: XVI3QRJ52CHL6XXB · pith_short_8: XVI3QRJ5

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/XVI3QRJ52CHL6XXBV37D36GWVU \
  | 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: bd51b8453dd08ebf5ee1aefe3df8d6ad17ae02783e320f029ef7eece469b000a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b017f8d7bb97fb496b85dd7bec66bf33d16f5eda16d09f2712337a4daddd1f7",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2010-07-22T21:28:38Z",
    "title_canon_sha256": "2de4f82d909c76ee4f2ae63c9a27287be5a78ebff9a70c27a981574b38ec86c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4013",
    "kind": "arxiv",
    "version": 2
  }
}