Pith Number

pith:WUMXUQZQ

pith:2017:WUMXUQZQK7JUXYGWAYYXORLHRV

not attested not anchored not stored refs pending

An iteration procedure for a two-term Machin-like formula for pi with small Lehmer's measure

B. M. Quine, S. M. Abrarov

arxiv:1706.08835 v3 · 2017-06-03 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUMXUQZQK7JUXYGWAYYXORLHRV}

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	2026-05-18T00:39:22.451994Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5197a433057d34be0d606317745678d66a51401a41771ab016002d10eeb5204

Aliases

arxiv: 1706.08835 · arxiv_version: 1706.08835v3 · doi: 10.48550/arxiv.1706.08835 · pith_short_12: WUMXUQZQK7JU · pith_short_16: WUMXUQZQK7JUXYGW · pith_short_8: WUMXUQZQ

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/WUMXUQZQK7JUXYGWAYYXORLHRV \
  | 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: b5197a433057d34be0d606317745678d66a51401a41771ab016002d10eeb5204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c96494ad29adf2da53fd0d70bcd3e2b15956e33ff26a6e6f794b6860f096d113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-06-03T13:13:56Z",
    "title_canon_sha256": "fb03428ab672ac9501421ce4642878abb127f74f6046841e6b5b4100744be127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08835",
    "kind": "arxiv",
    "version": 3
  }
}