Pith Number

pith:IROLPTBL

pith:2010:IROLPTBL4ZQ2ZYJEXNKLBRNPJO

not attested not anchored not stored refs pending

A New Approximation to the Normal Distribution Quantile Function

Paul M. Voutier

arxiv:1002.0567 v2 · 2010-02-02 · stat.CO · cs.NA · math.NA · math.ST · q-fin.CP · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IROLPTBL4ZQ2ZYJEXNKLBRNPJO}

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	2026-06-03T23:06:33.256581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

445cb7cc2be661ace124bb54b0c5af4b85642fda296562178b0da2868b9b97b9

Aliases

arxiv: 1002.0567 · arxiv_version: 1002.0567v2 · doi: 10.48550/arxiv.1002.0567 · pith_short_12: IROLPTBL4ZQ2 · pith_short_16: IROLPTBL4ZQ2ZYJE · pith_short_8: IROLPTBL

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/IROLPTBL4ZQ2ZYJEXNKLBRNPJO \
  | 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: 445cb7cc2be661ace124bb54b0c5af4b85642fda296562178b0da2868b9b97b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd0b4192067182352c4787486146169bb5ded8dfbe2f0b180aec549b3f6a9f0",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "math.ST",
      "q-fin.CP",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2010-02-02T20:31:52Z",
    "title_canon_sha256": "e6e2b4b69ecf6d53e669f110be395edb4363ec5843fd1cac37a8674983c1d4b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0567",
    "kind": "arxiv",
    "version": 2
  }
}