Pith Number

pith:7C4NXZO4

pith:2010:7C4NXZO4FUCDSOARW57TM6AY5E

not attested not anchored not stored refs pending

A new Euclidean tight 6-design

Eiichi Bannai, Etsuko Bannai, Junichi Shigezumi

arxiv:1005.4987 v2 · 2010-05-27 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7C4NXZO4FUCDSOARW57TM6AY5E}

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	2026-05-18T03:40:03.683289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b8dbe5dc2d04393811b77f367818e91ece31e9d6b995bfaf98badc95a38387

Aliases

arxiv: 1005.4987 · arxiv_version: 1005.4987v2 · doi: 10.48550/arxiv.1005.4987 · pith_short_12: 7C4NXZO4FUCD · pith_short_16: 7C4NXZO4FUCDSOAR · pith_short_8: 7C4NXZO4

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/7C4NXZO4FUCDSOARW57TM6AY5E \
  | 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: f8b8dbe5dc2d04393811b77f367818e91ece31e9d6b995bfaf98badc95a38387

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c57ded249639cd7409d19d7fadb5f713eb2ce813781c7088ac8f9c916d3698c8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-05-27T05:40:55Z",
    "title_canon_sha256": "e5f57cb9988f09c2dcbec7f7020093f9c8e7068401459dd4edff55bee3387bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4987",
    "kind": "arxiv",
    "version": 2
  }
}