Pith Number

pith:PRV632GB

pith:2012:PRV632GBWBCGXHSLHSBVKQVO4S

not attested not anchored not stored refs pending

A classification of smooth convex 3-polytopes with at most 16 lattice points

Anders Lundman

arxiv:1206.4827 v1 · 2012-06-21 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRV632GBWBCGXHSLHSBVKQVO4S}

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	2026-05-18T03:52:54.300553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6bede8c1b0446b9e4b3c835542aee4a925f00dbb1afa8c8bef3678913fa454

Aliases

arxiv: 1206.4827 · arxiv_version: 1206.4827v1 · doi: 10.48550/arxiv.1206.4827 · pith_short_12: PRV632GBWBCG · pith_short_16: PRV632GBWBCGXHSL · pith_short_8: PRV632GB

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/PRV632GBWBCGXHSLHSBVKQVO4S \
  | 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: 7c6bede8c1b0446b9e4b3c835542aee4a925f00dbb1afa8c8bef3678913fa454

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd8c85e1403f8d3c53bf79d8aebb38662e6522bf9b60e841faae83e53ee104b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-06-21T10:35:17Z",
    "title_canon_sha256": "6a1432e216b755c28cd64043914f076066fd421c123fafc146d744dc0dbf11f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4827",
    "kind": "arxiv",
    "version": 1
  }
}