Pith Number

pith:U6NCOCGT

pith:2015:U6NCOCGTRLQLSASUYDEM3GH2YV

not attested not anchored not stored refs pending

Solution for the Indefinite Integral of the Standard Normal Probability Density Function

Joram Soch

arxiv:1512.04858 v3 · 2015-12-15 · stat.OT · math.ST · 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{U6NCOCGTRLQLSASUYDEM3GH2YV}

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	2026-05-18T01:00:12.590400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a79a2708d38ae0b90254c0c8cd98fac5648951dd211e4311af5aad66cbd01d17

Aliases

arxiv: 1512.04858 · arxiv_version: 1512.04858v3 · doi: 10.48550/arxiv.1512.04858 · pith_short_12: U6NCOCGTRLQL · pith_short_16: U6NCOCGTRLQLSASU · pith_short_8: U6NCOCGT

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/U6NCOCGTRLQLSASUYDEM3GH2YV \
  | 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: a79a2708d38ae0b90254c0c8cd98fac5648951dd211e4311af5aad66cbd01d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b787b2e4d984fcfc2e5bd598f528596305ac54fd8048bdbea4b66ec828a30546",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2015-12-15T17:06:23Z",
    "title_canon_sha256": "7966f477574c52fd34551d58d1a3ed7b6f73c07dc8c00b775fd8d6243e83ae28"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04858",
    "kind": "arxiv",
    "version": 3
  }
}