Pith Number

pith:N6AVKXDW

pith:2012:N6AVKXDW7J7BYDVYMSYUHJH4FK

not attested not anchored not stored refs pending

Unavoidable golden ratio

Dorota Jacak

arxiv:1208.2269 v1 · 2012-08-11 · 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{N6AVKXDW7J7BYDVYMSYUHJH4FK}

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	2026-05-18T03:48:58.326981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f81555c76fa7e1c0eb864b143a4fc2aa075c5a27971e102df093c09c9293b40

Aliases

arxiv: 1208.2269 · arxiv_version: 1208.2269v1 · doi: 10.48550/arxiv.1208.2269 · pith_short_12: N6AVKXDW7J7B · pith_short_16: N6AVKXDW7J7BYDVY · pith_short_8: N6AVKXDW

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/N6AVKXDW7J7BYDVYMSYUHJH4FK \
  | 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: 6f81555c76fa7e1c0eb864b143a4fc2aa075c5a27971e102df093c09c9293b40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63db1ae73583b000da188c4a153ef7930353b774242376961b50de2651eede7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2012-08-11T10:18:43Z",
    "title_canon_sha256": "58056e226b1502fff750fe984c85011e04d8cdf28ec770576e82f6d659dcb647"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2269",
    "kind": "arxiv",
    "version": 1
  }
}