Pith Number

pith:UPGVEL5D

pith:2013:UPGVEL5DZ43JQMF7PS2SBJFN2D

not attested not anchored not stored refs pending

On spherical Monte Carlo simulations for multivariate normal probabilities

Cheng-Der Fuh, Huei-Wen Teng, Ming-Hsuan Kang

arxiv:1309.3386 v1 · 2013-09-13 · 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{UPGVEL5DZ43JQMF7PS2SBJFN2D}

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	2026-05-18T03:13:22.753974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3cd522fa3cf369830bf7cb520a4add0c0a5350f59139680baa2ff5667c276e1

Aliases

arxiv: 1309.3386 · arxiv_version: 1309.3386v1 · doi: 10.48550/arxiv.1309.3386 · pith_short_12: UPGVEL5DZ43J · pith_short_16: UPGVEL5DZ43JQMF7 · pith_short_8: UPGVEL5D

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/UPGVEL5DZ43JQMF7PS2SBJFN2D \
  | 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: a3cd522fa3cf369830bf7cb520a4add0c0a5350f59139680baa2ff5667c276e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a39ce9df8a980fe72e4c362ac2cbe50da66bf32b6328eb981a863a39ff70620c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2013-09-13T07:40:16Z",
    "title_canon_sha256": "a17120d77a162719fb7dbfc2179381d894a8daaf4e402750736a375d910d4995"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3386",
    "kind": "arxiv",
    "version": 1
  }
}