Pith Number

pith:IPYJNEAJ

pith:2020:IPYJNEAJGLABT5KJVZJY2YIWRK

not attested not anchored not stored refs pending

Nonparametric estimation of copulas and copula densities by orthogonal projections

Denys Pommeret, Yves Isma\"el Ngounou Bakam

arxiv:2010.15351 v2 · 2020-10-29 · math.ST · stat.AP · stat.ME · 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{IPYJNEAJGLABT5KJVZJY2YIWRK}

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	2026-07-05T03:41:57.981354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43f096900932c019f549ae538d61168a84227b8378415899bf3f3dcf0cc8ac67

Aliases

arxiv: 2010.15351 · arxiv_version: 2010.15351v2 · doi: 10.48550/arxiv.2010.15351 · pith_short_12: IPYJNEAJGLAB · pith_short_16: IPYJNEAJGLABT5KJ · pith_short_8: IPYJNEAJ

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/IPYJNEAJGLABT5KJVZJY2YIWRK \
  | 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: 43f096900932c019f549ae538d61168a84227b8378415899bf3f3dcf0cc8ac67

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7da3662b5aefa86fd85aa1224d9d9e8c2b5d3cf8627706bb170a19a4243df8b0",
    "cross_cats_sorted": [
      "stat.AP",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-10-29T04:24:31Z",
    "title_canon_sha256": "882825ce2c2fc3c4a397ca41250469e72fe74057f357c6f95a1c57fced3e20bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.15351",
    "kind": "arxiv",
    "version": 2
  }
}