Pith Number

pith:TC2F6NJT

pith:2016:TC2F6NJTIW6BU64ANRSHTQCAM5

not attested not anchored not stored refs pending

A rational approximation of the arctangent function and a new approach in computing pi

B. M. Quine, S. M. Abrarov

arxiv:1603.03310 v2 · 2016-03-09 · 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{TC2F6NJTIW6BU64ANRSHTQCAM5}

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	2026-05-18T01:18:22.876618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98b45f353345bc1a7b806c6479c04067593a936fe3b46d319bcefeadbc12b475

Aliases

arxiv: 1603.03310 · arxiv_version: 1603.03310v2 · doi: 10.48550/arxiv.1603.03310 · pith_short_12: TC2F6NJTIW6B · pith_short_16: TC2F6NJTIW6BU64A · pith_short_8: TC2F6NJT

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/TC2F6NJTIW6BU64ANRSHTQCAM5 \
  | 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: 98b45f353345bc1a7b806c6479c04067593a936fe3b46d319bcefeadbc12b475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4550f881c1f107a12165846a50575bdbc1dcbfc623ab59ea3e864cbe09e8b25",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-03-09T04:45:14Z",
    "title_canon_sha256": "1a3ca6e18edea9a120febe7037365507208866bbff7b9f7f7d01dd7c2d9ab981"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03310",
    "kind": "arxiv",
    "version": 2
  }
}