Pith Number

pith:ELCSSVSJ

pith:2018:ELCSSVSJJDVJET7V7IOKUOQ6T7

not attested not anchored not stored refs pending

Explicit Construction of the Voronoi and Delaunay Cells of W(An) and W(Dn) Lattices and Their Facets

Abeer Al-Siyabi, Mehmet Koca, Nazife Ozdes Koca, Ramazan Koc

arxiv:1804.05836 v3 · 2018-04-16 · math.MG · cond-mat.other · 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{ELCSSVSJJDVJET7V7IOKUOQ6T7}

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	2026-05-18T00:06:28.782123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22c529564948ea924ff5fa1caa3a1e9fff7d2ae480014ba0d7fd6dab7b357e89

Aliases

arxiv: 1804.05836 · arxiv_version: 1804.05836v3 · doi: 10.48550/arxiv.1804.05836 · pith_short_12: ELCSSVSJJDVJ · pith_short_16: ELCSSVSJJDVJET7V · pith_short_8: ELCSSVSJ

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/ELCSSVSJJDVJET7V7IOKUOQ6T7 \
  | 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: 22c529564948ea924ff5fa1caa3a1e9fff7d2ae480014ba0d7fd6dab7b357e89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6387e402f4dd3bd2c46f118e562ecd7c892ee2b7793fe44b27a41743c33269e6",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2018-04-16T09:46:26Z",
    "title_canon_sha256": "9e27c9d5a2eddb98e64edc1d1c918b5722a3b56aacb1e8602093db63ac954aad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.05836",
    "kind": "arxiv",
    "version": 3
  }
}