Pith Number

pith:4PVJK5OX

pith:2012:4PVJK5OXMZTAPZZQK5FUBCKT2Q

not attested not anchored not stored refs pending

Minkowski length of 3D lattice polytopes

Bradley Weaver, Jenya Soprunova, Matthew Grimm, Olivia Beckwith

arxiv:1202.0524 v2 · 2012-02-02 · 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{4PVJK5OXMZTAPZZQK5FUBCKT2Q}

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	2026-05-18T03:49:58.280125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3ea9575d7666607e730574b408953d423d1adacac34cdcc4d7d3511fc7c213e

Aliases

arxiv: 1202.0524 · arxiv_version: 1202.0524v2 · doi: 10.48550/arxiv.1202.0524 · pith_short_12: 4PVJK5OXMZTA · pith_short_16: 4PVJK5OXMZTAPZZQ · pith_short_8: 4PVJK5OX

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/4PVJK5OXMZTAPZZQK5FUBCKT2Q \
  | 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: e3ea9575d7666607e730574b408953d423d1adacac34cdcc4d7d3511fc7c213e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa0a75282f2c9342aa5f06886bb3b25f5c6ffab73ae89a2a2f9d2efed3d82f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-02T19:41:33Z",
    "title_canon_sha256": "a490861bc238c3fe6f0cdad4fa79814ac52620c8b3d017f3925492f3995b3613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0524",
    "kind": "arxiv",
    "version": 2
  }
}