Pith Number

pith:XHLX2LBD

pith:2013:XHLX2LBD4E2RUZXQKCPNCI7HQO

not attested not anchored not stored refs pending

Sampling exactly from the normal distribution

Charles F. F. Karney

arxiv:1303.6257 v2 · 2013-03-25 · physics.comp-ph · cs.MS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XHLX2LBD4E2RUZXQKCPNCI7HQO}

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	2026-05-18T01:21:40.880091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d77d2c23e1351a66f0509ed123e783b022ea97b2bb2b04a030bfac4b5f214b

Aliases

arxiv: 1303.6257 · arxiv_version: 1303.6257v2 · doi: 10.48550/arxiv.1303.6257 · pith_short_12: XHLX2LBD4E2R · pith_short_16: XHLX2LBD4E2RUZXQ · pith_short_8: XHLX2LBD

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/XHLX2LBD4E2RUZXQKCPNCI7HQO \
  | 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: b9d77d2c23e1351a66f0509ed123e783b022ea97b2bb2b04a030bfac4b5f214b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f842a9e33b8e2f579b4c32466a88a7e9ab2ca7d5f6b4e773391e22544bec9b0",
    "cross_cats_sorted": [
      "cs.MS",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2013-03-25T19:19:47Z",
    "title_canon_sha256": "c1cde88a0b0daa0b61227c7b6f829414831bdce4f422e817f80dac7ac0d4c980"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6257",
    "kind": "arxiv",
    "version": 2
  }
}