Pith Number

pith:Z2L5PYGD

pith:2001:Z2L5PYGDTMJRJJMLF4YRRTBIQY

not attested not anchored not stored refs pending

Nonparametric Volatility Density Estimation

Bert van Es, Harry van Zanten, Peter Spreij

arxiv:math/0107135 v2 · 2001-07-19 · 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{Z2L5PYGDTMJRJJMLF4YRRTBIQY}

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	2026-05-18T02:47:41.670358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce97d7e0c39b1314a58b2f3118cc28860ef690edb898db9702980a3189204777

Aliases

arxiv: math/0107135 · arxiv_version: math/0107135v2 · doi: 10.48550/arxiv.math/0107135 · pith_short_12: Z2L5PYGDTMJR · pith_short_16: Z2L5PYGDTMJRJJML · pith_short_8: Z2L5PYGD

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/Z2L5PYGDTMJRJJMLF4YRRTBIQY \
  | 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: ce97d7e0c39b1314a58b2f3118cc28860ef690edb898db9702980a3189204777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c6c8c04e6c12eb75525a596e0ad2fd0274798a729d3dd482c880eec5bc7a5bc",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.ST",
    "submitted_at": "2001-07-19T13:40:32Z",
    "title_canon_sha256": "b738f10f2fba1b5aea28b34f34c5375d6ef4afde0e304f8757402f16e55e9071"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0107135",
    "kind": "arxiv",
    "version": 2
  }
}