pith. sign in
Pith Number

pith:467S5SAS

pith:2012:467S5SAST23MOOYJ3FYP5HBLWX
not attested not anchored not stored refs pending

Hit-and-run for numerical integration

Daniel Rudolf

arxiv:1212.4486 v1 · 2012-12-18 · math.PR · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{467S5SAST23MOOYJ3FYP5HBLWX}

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 2026-05-18T02:32:22.711776Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e7bf2ec8129eb6c73b09d970fe9c2bb5c08a270d38a9488d828e8383d96a466e

Aliases

arxiv: 1212.4486 · arxiv_version: 1212.4486v1 · doi: 10.48550/arxiv.1212.4486 · pith_short_12: 467S5SAST23M · pith_short_16: 467S5SAST23MOOYJ · pith_short_8: 467S5SAS
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/467S5SAST23MOOYJ3FYP5HBLWX \
  | 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: e7bf2ec8129eb6c73b09d970fe9c2bb5c08a270d38a9488d828e8383d96a466e
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ec0d67707f23ec9322b371e08d22524c177bba1ed573e07e9e4d1e0b43c293a9",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-12-18T20:51:01Z",
    "title_canon_sha256": "f9a01486a2433bb1310db00f99a4c5d829cb68c06daffdab591a76515d85ff59"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4486",
    "kind": "arxiv",
    "version": 1
  }
}