Pith Number

pith:GTC6WBHH

pith:2017:GTC6WBHHIJAVJVTUYDCM5DAALN

not attested not anchored not stored refs pending

The two-term Machin-like formula for pi with small arguments of the arctangent function

B. M. Quine, S. M. Abrarov

arxiv:1704.02875 v2 · 2017-04-03 · 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{GTC6WBHHIJAVJVTUYDCM5DAALN}

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	2026-05-18T00:46:18.331729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34c5eb04e7424154d674c0c4ce8c005b7b965d280220057e125c5ee89badfe3c

Aliases

arxiv: 1704.02875 · arxiv_version: 1704.02875v2 · doi: 10.48550/arxiv.1704.02875 · pith_short_12: GTC6WBHHIJAV · pith_short_16: GTC6WBHHIJAVJVTU · pith_short_8: GTC6WBHH

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/GTC6WBHHIJAVJVTUYDCM5DAALN \
  | 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: 34c5eb04e7424154d674c0c4ce8c005b7b965d280220057e125c5ee89badfe3c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b5faab89ad971a22718b1b357e6676e9c743c6fba14c856ca934b81ccf871b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-04-03T04:51:08Z",
    "title_canon_sha256": "727d337fe0b4d701e08b051e8284faff9d49a1ab77c84d01984ba803c456189b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02875",
    "kind": "arxiv",
    "version": 2
  }
}