Pith Number

pith:FODRZT57

pith:2017:FODRZT57LL5JH7BONWQ3ILVL66

not attested not anchored not stored refs pending

Efficient computation of pi by the Newton - Raphson iteration and a two-term Machin-like formula

B. M. Quine, S. M. Abrarov

arxiv:1712.04414 v2 · 2017-12-12 · 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{FODRZT57LL5JH7BONWQ3ILVL66}

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	2026-05-18T00:18:52.707568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b871ccfbf5afa93fc2e6da1b42eabf7b71f8de23ad78983da3f70b94069a892

Aliases

arxiv: 1712.04414 · arxiv_version: 1712.04414v2 · doi: 10.48550/arxiv.1712.04414 · pith_short_12: FODRZT57LL5J · pith_short_16: FODRZT57LL5JH7BO · pith_short_8: FODRZT57

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/FODRZT57LL5JH7BONWQ3ILVL66 \
  | 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: 2b871ccfbf5afa93fc2e6da1b42eabf7b71f8de23ad78983da3f70b94069a892

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b2fa410c50a516136af4847ab2e24b9579f06e53ecbe6667c983ac1e0e7edb4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-12-12T18:11:34Z",
    "title_canon_sha256": "132ffddbb3b5da68e97eda59908668cf0b2809dd7368d178f651695167b89dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.04414",
    "kind": "arxiv",
    "version": 2
  }
}