Pith Number

pith:RY7OWP4U

pith:2026:RY7OWP4U77NZ2K2EJBQE72UZ7E

not attested not anchored not stored refs pending

Custom-made Gauss quadrature: an introduction for statisticians

Paul Kabaila

arxiv:2607.14511 v1 · 2026-07-16 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RY7OWP4U77NZ2K2EJBQE72UZ7E}

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	2026-07-17T01:21:15.510604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e3eeb3f94ffdb9d2b4448604fea99f917173dbebdca880a4b0c7c15c7c0f234

Aliases

arxiv: 2607.14511 · arxiv_version: 2607.14511v1 · doi: 10.48550/arxiv.2607.14511 · pith_short_12: RY7OWP4U77NZ · pith_short_16: RY7OWP4U77NZ2K2E · pith_short_8: RY7OWP4U

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/RY7OWP4U77NZ2K2EJBQE72UZ7E \
  | 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: 8e3eeb3f94ffdb9d2b4448604fea99f917173dbebdca880a4b0c7c15c7c0f234

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df02fb97168304dcc15f7d6731b8894664289163cc6521fb66127301dcaefddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2026-07-16T03:02:21Z",
    "title_canon_sha256": "2ef611933056d7bcfcd88e0b8bbc9d390745fdfe7513dceb72b2af41fc477b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14511",
    "kind": "arxiv",
    "version": 1
  }
}