Pith Number

pith:N7BSJBRT

pith:2008:N7BSJBRTNRRN576MXZAVVJ4JFM

not attested not anchored not stored refs pending

Perfect, strongly eutactic lattices are periodic extreme

Achill Sch\"urmann

arxiv:0808.2013 v2 · 2008-08-14 · math.MG · 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{N7BSJBRTNRRN576MXZAVVJ4JFM}

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	2026-05-18T03:40:14.938991Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fc32486336c62deffccbe415aa7892b149c26e8cc6eacc3e99a16ed7f11251d

Aliases

arxiv: 0808.2013 · arxiv_version: 0808.2013v2 · doi: 10.48550/arxiv.0808.2013 · pith_short_12: N7BSJBRTNRRN · pith_short_16: N7BSJBRTNRRN576M · pith_short_8: N7BSJBRT

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/N7BSJBRTNRRN576MXZAVVJ4JFM \
  | 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: 6fc32486336c62deffccbe415aa7892b149c26e8cc6eacc3e99a16ed7f11251d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720df117e30c86b59a292b87a4d42e55192228d3e7af7175dccd2a67318067de",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-08-14T15:55:23Z",
    "title_canon_sha256": "9c92a35a5602e9d450ad4cd4a3251da0f68d11d106ead2fd9ac6b872a224b0ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0808.2013",
    "kind": "arxiv",
    "version": 2
  }
}