Pith Number

pith:2ZZQQRBE

pith:2012:2ZZQQRBENXWIVUWJOSYSKI4BT6

not attested not anchored not stored refs pending

Toric Cubes

Alexander Engstr\"om, Bernd Sturmfels, Patricia Hersh

arxiv:1202.4333 v3 · 2012-02-20 · math.CO · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZZQQRBENXWIVUWJOSYSKI4BT6}

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	2026-05-18T03:48:33.906381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6730844246dec8ad2c974b12523819f9cfd9aee7fc9d991d95d43fac2d1cdd5

Aliases

arxiv: 1202.4333 · arxiv_version: 1202.4333v3 · doi: 10.48550/arxiv.1202.4333 · pith_short_12: 2ZZQQRBENXWI · pith_short_16: 2ZZQQRBENXWIVUWJ · pith_short_8: 2ZZQQRBE

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/2ZZQQRBENXWIVUWJOSYSKI4BT6 \
  | 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: d6730844246dec8ad2c974b12523819f9cfd9aee7fc9d991d95d43fac2d1cdd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "374ee51ade147696960cc8bb3df0c79a44e48ff6cab109c49173d737c8831fef",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-20T14:17:06Z",
    "title_canon_sha256": "5dba37359390e2d129783316f7d6ab46311db3d2ff31353f9de50a99888f4896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4333",
    "kind": "arxiv",
    "version": 3
  }
}