Pith Number

pith:ECWZHX4C

pith:2009:ECWZHX4CASXKHB6S2AYE2P2PC6

not attested not anchored not stored refs pending

Quaternionic Representation of Snub 24-Cell and its Dual Polytope Derived From E_8 Root System

Mehmet Koca, Mudhahir Al-Ajmi, Nazife Ozdes Koca

arxiv:0906.2109 v2 · 2009-06-11 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ECWZHX4CASXKHB6S2AYE2P2PC6}

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	2026-05-18T03:59:38.679206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20ad93df8204aea387d2d0304d3f4f17b496c088a23353bafd5923e887b989fe

Aliases

arxiv: 0906.2109 · arxiv_version: 0906.2109v2 · doi: 10.48550/arxiv.0906.2109 · pith_short_12: ECWZHX4CASXK · pith_short_16: ECWZHX4CASXKHB6S · pith_short_8: ECWZHX4C

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/ECWZHX4CASXKHB6S2AYE2P2PC6 \
  | 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: 20ad93df8204aea387d2d0304d3f4f17b496c088a23353bafd5923e887b989fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1990a170f569735332f8540d11d7f6f9827de7314ebf5012a05903975043e336",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-06-11T14:00:23Z",
    "title_canon_sha256": "feeb6053c3c5660a0561fa58ad292f98a816c1dd39f80189e3c0c87a393a384c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.2109",
    "kind": "arxiv",
    "version": 2
  }
}