Pith Number

pith:N3CHDPOH

pith:2015:N3CHDPOHTEQMBBRYEWQGSMVUWR

not attested not anchored not stored refs pending

Notions of maximality for integral lattice-free polyhedra: the case of dimension three

Gennadiy Averkov, Jan Kr\"umpelmann, Stefan Weltge

arxiv:1509.05200 v1 · 2015-09-17 · math.CO · math.AG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N3CHDPOHTEQMBBRYEWQGSMVUWR}

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	2026-05-18T01:32:49.626832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ec471bdc79920c0863825a06932b4b44f938ce94220b482853fa7366df99934

Aliases

arxiv: 1509.05200 · arxiv_version: 1509.05200v1 · doi: 10.48550/arxiv.1509.05200 · pith_short_12: N3CHDPOHTEQM · pith_short_16: N3CHDPOHTEQMBBRY · pith_short_8: N3CHDPOH

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/N3CHDPOHTEQMBBRYEWQGSMVUWR \
  | 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: 6ec471bdc79920c0863825a06932b4b44f938ce94220b482853fa7366df99934

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "393d24d15a7971a51ca441e18627edc1b70df4f747bd3828c1cbfc77487a4a6d",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-17T10:41:28Z",
    "title_canon_sha256": "d7c046dd9a43bad09d48e51547df8a52d448685091a67bd45620ee7de4576625"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05200",
    "kind": "arxiv",
    "version": 1
  }
}