Pith Number

pith:O273SG4G

pith:2012:O273SG4GS6L2TQ3465LV3ADU4B

not attested not anchored not stored refs pending

The hyperbola rectification from Maclaurin to Landen and the Lagrange-Legendre transformation for the elliptic integrals

Aldo Scimone, Daniele Ritelli, Giovanni Mingari Scarpello

arxiv:1209.4909 v2 · 2012-09-21 · math.CA · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O273SG4GS6L2TQ3465LV3ADU4B}

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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	2026-05-18T03:42:25.141395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76bfb91b869797a9c37cf7575d8074e077c00ac340e88dbc9b589c18213937eb

Aliases

arxiv: 1209.4909 · arxiv_version: 1209.4909v2 · doi: 10.48550/arxiv.1209.4909 · pith_short_12: O273SG4GS6L2 · pith_short_16: O273SG4GS6L2TQ34 · pith_short_8: O273SG4G

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/O273SG4GS6L2TQ3465LV3ADU4B \
  | 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: 76bfb91b869797a9c37cf7575d8074e077c00ac340e88dbc9b589c18213937eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c49fe71051ac5719430ef9e7d356efaddfcc8e0c3616247b998790fac11438d",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-21T20:15:12Z",
    "title_canon_sha256": "e7d90fe733e388bdf1bbfc2c5d1b808a21c5c76c5b9afe57ecf9fdf8fef9f42e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4909",
    "kind": "arxiv",
    "version": 2
  }
}