pith. sign in
Pith Number

pith:XVHCL5JL

pith:2012:XVHCL5JLLKTQ637M6XZQZHBMHW
not attested not anchored not stored refs pending

A Symplectic Method to Generate Multivariate Normal Distributions

Christian Baumgarten

arxiv:1205.3601 v1 · 2012-05-16 · physics.data-an · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XVHCL5JLLKTQ637M6XZQZHBMHW}

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 2026-05-18T03:55:34.640052Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd4e25f52b5aa70f6fecf5f30c9c2c3dbf5991e1159765270b79b2f3e2e49df4

Aliases

arxiv: 1205.3601 · arxiv_version: 1205.3601v1 · doi: 10.48550/arxiv.1205.3601 · pith_short_12: XVHCL5JLLKTQ · pith_short_16: XVHCL5JLLKTQ637M · pith_short_8: XVHCL5JL
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVHCL5JLLKTQ637M6XZQZHBMHW \
  | 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: bd4e25f52b5aa70f6fecf5f30c9c2c3dbf5991e1159765270b79b2f3e2e49df4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cd3e2e15c626908c499d3256f065d2c3fb6385dafe1d5c6212ede6f050928bd0",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2012-05-16T09:07:30Z",
    "title_canon_sha256": "e4455da0bf9566cafab359950d2a962c06b99c1f81749bf6582514669cc6e358"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.3601",
    "kind": "arxiv",
    "version": 1
  }
}