Pith Number

pith:56HSWJKB

pith:2009:56HSWJKBMLMX5IC4VHXF7XRPJV

not attested not anchored not stored refs pending

The Bivariate Normal Copula

Christian Meyer

arxiv:0912.2816 v1 · 2009-12-15 · math.PR · q-fin.CP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56HSWJKBMLMX5IC4VHXF7XRPJV}

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	2026-05-18T00:05:34.891660Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef8f2b254162d97ea05ca9ee5fde2f4d509786c96a149cf190a3b3cf486ace82

Aliases

arxiv: 0912.2816 · arxiv_version: 0912.2816v1 · doi: 10.48550/arxiv.0912.2816 · pith_short_12: 56HSWJKBMLMX · pith_short_16: 56HSWJKBMLMX5IC4 · pith_short_8: 56HSWJKB

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/56HSWJKBMLMX5IC4VHXF7XRPJV \
  | 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: ef8f2b254162d97ea05ca9ee5fde2f4d509786c96a149cf190a3b3cf486ace82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cef91701186bb9dac619bf7380134d144783f8766e67e08d6b0e0f6c0ed86b30",
    "cross_cats_sorted": [
      "q-fin.CP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-12-15T07:50:33Z",
    "title_canon_sha256": "e10824ffc3e2be167c158ebefc36099d4d5115dff8b15018d32a1b11747b9da4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.2816",
    "kind": "arxiv",
    "version": 1
  }
}