Pith Number

pith:C72WAAYN

pith:2015:C72WAAYNVOTTNI3F5ODXJKA7NS

not attested not anchored not stored refs pending

The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices

Achill Sch\"urmann, Alexey Garber, Clara Waldmann, Mathieu Dutour Sikiri\'c

arxiv:1507.00238 v2 · 2015-06-30 · math.MG · 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{C72WAAYNVOTTNI3F5ODXJKA7NS}

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	2026-05-18T00:30:49.435108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17f560030daba736a365eb8774a81f6cbde7ee8a12e56b5dc83620b3e4e7fedf

Aliases

arxiv: 1507.00238 · arxiv_version: 1507.00238v2 · doi: 10.48550/arxiv.1507.00238 · pith_short_12: C72WAAYNVOTT · pith_short_16: C72WAAYNVOTTNI3F · pith_short_8: C72WAAYN

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/C72WAAYNVOTTNI3F5ODXJKA7NS \
  | 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: 17f560030daba736a365eb8774a81f6cbde7ee8a12e56b5dc83620b3e4e7fedf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7111a36828a9cf3ac6352d542cf56454df29b1bef7230aec6c9892fe4fb98a38",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-06-30T18:01:46Z",
    "title_canon_sha256": "52620ce7cf4bab7016dcf3bdf23de665425ff493a8e0ccd93d7b196dd868ef31"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00238",
    "kind": "arxiv",
    "version": 2
  }
}