Pith Number

pith:AEULP7M6

pith:2016:AEULP7M67AKWXCCEU4STW3DXCI

not attested not anchored not stored refs pending

Identities for the arctangent function by enhanced midpoint integration and the high-accuracy computation of pi

B. M. Quine, S. M. Abrarov

arxiv:1604.03752 v1 · 2016-04-10 · math.GM · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEULP7M67AKWXCCEU4STW3DXCI}

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	2026-05-18T01:17:07.203149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0128b7fd9ef8156b8844a7253b6c771200ea1b6d35983a7eac8fcabcbc1aa73d

Aliases

arxiv: 1604.03752 · arxiv_version: 1604.03752v1 · doi: 10.48550/arxiv.1604.03752 · pith_short_12: AEULP7M67AKW · pith_short_16: AEULP7M67AKWXCCE · pith_short_8: AEULP7M6

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/AEULP7M67AKWXCCEU4STW3DXCI \
  | 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: 0128b7fd9ef8156b8844a7253b6c771200ea1b6d35983a7eac8fcabcbc1aa73d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44287ada523a789d6a94afc5fbe1a86d9ca05864a3c1cbdf592615e418f6c145",
    "cross_cats_sorted": [
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2016-04-10T03:20:24Z",
    "title_canon_sha256": "f739d948164253bbaa436c78cd6168fa6de879843377e1cdc5667f35a18f9af1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03752",
    "kind": "arxiv",
    "version": 1
  }
}