Pith Number

pith:6CBYE7Y4

pith:2011:6CBYE7Y42INOD2L3VK5DUPRO7H

not attested not anchored not stored refs pending

4D-Polytopes and Their Dual Polytopes of the Coxeter Group $W(A_{4})$ Represented by Quaternions

Mehmet Koca, Mudhahir Al-Ajmi, Nazife Ozdes Koca

arxiv:1102.1132 v1 · 2011-02-06 · 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{6CBYE7Y42INOD2L3VK5DUPRO7H}

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	2026-05-18T02:56:42.647662Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f083827f1cd21ae1e97baaba3a3e2ef9d07d769a68c5d44ceba79fd09405a273

Aliases

arxiv: 1102.1132 · arxiv_version: 1102.1132v1 · doi: 10.48550/arxiv.1102.1132 · pith_short_12: 6CBYE7Y42INO · pith_short_16: 6CBYE7Y42INOD2L3 · pith_short_8: 6CBYE7Y4

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/6CBYE7Y42INOD2L3VK5DUPRO7H \
  | 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: f083827f1cd21ae1e97baaba3a3e2ef9d07d769a68c5d44ceba79fd09405a273

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aae89ae4d581bddfddc6f8eeb2c41b41cfd937acdedf6778dcc4b4a67513859e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-06T08:25:37Z",
    "title_canon_sha256": "5cf4603af88eb4dc1f855a2a18abfb97007f7c90f33438d82aa2a6de504d6e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1132",
    "kind": "arxiv",
    "version": 1
  }
}