pith. sign in
Pith Number

pith:47UT4GWW

pith:2009:47UT4GWWXH4LOZFFU2P5NGRGVO
not attested not anchored not stored refs pending

Grand Antiprism and Quaternions

Mehmet Koca, Mudhahir Al-Ajmi, Nazife Ozdes Koca

arxiv:0906.2117 v2 · 2009-06-11 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{47UT4GWWXH4LOZFFU2P5NGRGVO}

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 2026-05-18T03:59:38.668621Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e7e93e1ad6b9f8b764a5a69fd69a26abb6acf7946ce7f4be0788f7d65baf578c

Aliases

arxiv: 0906.2117 · arxiv_version: 0906.2117v2 · doi: 10.48550/arxiv.0906.2117 · pith_short_12: 47UT4GWWXH4L · pith_short_16: 47UT4GWWXH4LOZFF · pith_short_8: 47UT4GWW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/47UT4GWWXH4LOZFFU2P5NGRGVO \
  | 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: e7e93e1ad6b9f8b764a5a69fd69a26abb6acf7946ce7f4be0788f7d65baf578c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "943c023faa7557b79c23189a4dab5eb02b75d9cdcf0ae7eddec414e53b523f07",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-11T14:26:36Z",
    "title_canon_sha256": "fbc562c72cf6368a5c734e34f3b724411841c5e6366cc87ee4ec7d65c2f241f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2117",
    "kind": "arxiv",
    "version": 2
  }
}