Pith Number

pith:3UGLZRVX

pith:2002:3UGLZRVXQ4TKASUNXHE22ZGKKZ

not attested not anchored not stored refs pending

Obtaining a New Representation for the Golden Ratio by Solving a Biquadratic Equation

Leonardo Mondaini

arxiv:math/0208210 v2 · 2002-08-27 · 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{3UGLZRVXQ4TKASUNXHE22ZGKKZ}

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	2026-05-18T02:30:33.085972Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd0cbcc6b78726a04a8db9c9ad64ca564f86d749a57b2821e33b7c2dd8e15579

Aliases

arxiv: math/0208210 · arxiv_version: math/0208210v2 · doi: 10.48550/arxiv.math/0208210 · pith_short_12: 3UGLZRVXQ4TK · pith_short_16: 3UGLZRVXQ4TKASUN · pith_short_8: 3UGLZRVX

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/3UGLZRVXQ4TKASUNXHE22ZGKKZ \
  | 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: dd0cbcc6b78726a04a8db9c9ad64ca564f86d749a57b2821e33b7c2dd8e15579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28150b32628fba44b5451240fbb567b30d6e4ac437762cacec4114e070eabfb7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2002-08-27T12:55:58Z",
    "title_canon_sha256": "b54d551147b6fd9a8b5ba905b0707d5545ac685c57ef7eec92e96e91c33476a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0208210",
    "kind": "arxiv",
    "version": 2
  }
}