Pith Number

pith:EFLZEFP4

pith:2011:EFLZEFP4FTL3H55D5TXV7HEPW2

not attested not anchored not stored refs pending

Branching of the W(H4) Polytopes and Their Dual Polytopes under the Coxeter Groups W(A4) and W(H3) Represented by Quaternions

Mehmet Koca, Mudhahir Al-Ajmi, Nazife Ozdes Koca

arxiv:1106.2957 v1 · 2011-06-15 · 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{EFLZEFP4FTL3H55D5TXV7HEPW2}

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	2026-05-18T02:56:42.617249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21579215fc2cd7b3f7a3ecef5f9c8fb6b350d0c97164d0c62029565027f78d30

Aliases

arxiv: 1106.2957 · arxiv_version: 1106.2957v1 · doi: 10.48550/arxiv.1106.2957 · pith_short_12: EFLZEFP4FTL3 · pith_short_16: EFLZEFP4FTL3H55D · pith_short_8: EFLZEFP4

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/EFLZEFP4FTL3H55D5TXV7HEPW2 \
  | 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: 21579215fc2cd7b3f7a3ecef5f9c8fb6b350d0c97164d0c62029565027f78d30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e76df1b83470df3ae6dca0b018d9e096f1d4be9d4fbe2c28cb3fca8012c40aa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-15T12:35:14Z",
    "title_canon_sha256": "88229ed788eeb4d886e080c862169a4d5bf1e6a48c1eaa2a607978813fdfe4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.2957",
    "kind": "arxiv",
    "version": 1
  }
}