Pith Number

pith:CFDVJM56

pith:2010:CFDVJM566O4NAYSSIEYVBWV5FD

not attested not anchored not stored refs pending

Recursive Numerical Evaluation of the Cumulative Bivariate Normal Distribution

Christian Meyer

arxiv:1004.3616 v1 · 2010-04-21 · math.NA · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CFDVJM566O4NAYSSIEYVBWV5FD}

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	2026-05-18T00:05:34.883848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

114754b3bef3b8d06252413150dabd28efdb534d8c69551ca8456d6d46402723

Aliases

arxiv: 1004.3616 · arxiv_version: 1004.3616v1 · doi: 10.48550/arxiv.1004.3616 · pith_short_12: CFDVJM566O4N · pith_short_16: CFDVJM566O4NAYSS · pith_short_8: CFDVJM56

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/CFDVJM566O4NAYSSIEYVBWV5FD \
  | 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: 114754b3bef3b8d06252413150dabd28efdb534d8c69551ca8456d6d46402723

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad2ce9125c6e0f010537707b33eb58bf7596d2d918756ba7e393e294ef50f13",
    "cross_cats_sorted": [
      "stat.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-04-21T04:39:45Z",
    "title_canon_sha256": "8cc3f589c1604ef6aae6292bea7addf0b1a97f4875131f13695d1462216c36dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3616",
    "kind": "arxiv",
    "version": 1
  }
}