Pith Number

pith:24YLLYPT

pith:2011:24YLLYPTNTJQYJ64D2AJLZXMNS

not attested not anchored not stored refs pending

Empirical and sequential empirical copula processes under serial dependence

Axel B\"ucher, Stanislav Volgushev

arxiv:1111.2778 v1 · 2011-11-11 · 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{24YLLYPTNTJQYJ64D2AJLZXMNS}

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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	2026-05-18T04:08:25.097826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d730b5e1f36cd30c27dc1e8095e6ec6cb2f6a741ee18e92bc0852fa9c643d178

Aliases

arxiv: 1111.2778 · arxiv_version: 1111.2778v1 · doi: 10.48550/arxiv.1111.2778 · pith_short_12: 24YLLYPTNTJQ · pith_short_16: 24YLLYPTNTJQYJ64 · pith_short_8: 24YLLYPT

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/24YLLYPTNTJQYJ64D2AJLZXMNS \
  | 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: d730b5e1f36cd30c27dc1e8095e6ec6cb2f6a741ee18e92bc0852fa9c643d178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd4ed14141311be8362e69e55f095a44c34bcd6afa794189c5ce8b611cb8795",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2011-11-11T15:42:38Z",
    "title_canon_sha256": "8fe641bce48c622c2db0a599689c62d7a974ae69eec1fd81e772e8c8f5141605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.2778",
    "kind": "arxiv",
    "version": 1
  }
}