Pith Number

pith:2ZHHSNVZ

pith:2009:2ZHHSNVZU2B2WIGAT7HV7MPWIL

not attested not anchored not stored refs pending

On a property of 2-dimensional integral Euclidean lattices

Eiichi Bannai, Tsuyoshi Miezaki

arxiv:0912.1659 v3 · 2009-12-09 · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZHHSNVZU2B2WIGAT7HV7MPWIL}

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	2026-05-18T03:52:26.680033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d64e7936b9a683ab20c09fcf5fb1f642f3e0a6988718849d8663faa33acd1992

Aliases

arxiv: 0912.1659 · arxiv_version: 0912.1659v3 · doi: 10.48550/arxiv.0912.1659 · pith_short_12: 2ZHHSNVZU2B2 · pith_short_16: 2ZHHSNVZU2B2WIGA · pith_short_8: 2ZHHSNVZ

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/2ZHHSNVZU2B2WIGAT7HV7MPWIL \
  | 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: d64e7936b9a683ab20c09fcf5fb1f642f3e0a6988718849d8663faa33acd1992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798d949f328412940e378c748a945956dff2f388255049729dea879775ebaf32",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-12-09T03:43:35Z",
    "title_canon_sha256": "750b2bac14944e92157c8efc515c4aa63f380b6bf406b50d503c1c8caaac4f8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.1659",
    "kind": "arxiv",
    "version": 3
  }
}