Pith Number

pith:LPW7GZOD

pith:2011:LPW7GZODWU262LEIG34CJMRBWO

not attested not anchored not stored refs pending

On Euclidean designs and the potential energy

Makoto Tagami, Tsuyoshi Miezaki

arxiv:1109.2226 v1 · 2011-09-10 · 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{LPW7GZODWU262LEIG34CJMRBWO}

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	2026-05-18T03:52:26.324412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bedf365c3b535ed2c8836f824b221b3854a51da84069ef7689e88b37f0dd677

Aliases

arxiv: 1109.2226 · arxiv_version: 1109.2226v1 · doi: 10.48550/arxiv.1109.2226 · pith_short_12: LPW7GZODWU26 · pith_short_16: LPW7GZODWU262LEI · pith_short_8: LPW7GZOD

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/LPW7GZODWU262LEIG34CJMRBWO \
  | 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: 5bedf365c3b535ed2c8836f824b221b3854a51da84069ef7689e88b37f0dd677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9f192fd3c7539d367688dfdb053278ddb3ad8a7a79305075f50af7d62449540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-09-10T14:25:31Z",
    "title_canon_sha256": "f5d1e6eccdfe951396a026dbd2809f886c067e364421045279ac8749f6615590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2226",
    "kind": "arxiv",
    "version": 1
  }
}