Pith Number

pith:U5AFOLYZ

pith:2010:U5AFOLYZFYAIIGRHW2IPTJUL7Q

not attested not anchored not stored refs pending

Polytopes from Subgraph Statistics

Alexander Engstr\"om, Patrik Nor\'en

arxiv:1011.3552 v3 · 2010-11-16 · math.CO · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5AFOLYZFYAIIGRHW2IPTJUL7Q}

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	2026-05-18T04:15:05.524563Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a740572f192e00841a27b690f9a68bfc0fb249d6a6154c9fab97992e75ce3053

Aliases

arxiv: 1011.3552 · arxiv_version: 1011.3552v3 · doi: 10.48550/arxiv.1011.3552 · pith_short_12: U5AFOLYZFYAI · pith_short_16: U5AFOLYZFYAIIGRH · pith_short_8: U5AFOLYZ

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/U5AFOLYZFYAIIGRHW2IPTJUL7Q \
  | 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: a740572f192e00841a27b690f9a68bfc0fb249d6a6154c9fab97992e75ce3053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0f919f2ee2f580bd554bcd64511458b23e770b83fc9db1e6b4adbff0a35c20",
    "cross_cats_sorted": [
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-11-16T00:11:11Z",
    "title_canon_sha256": "223604e2f230a153ec899d71df380359e0e6b704416e8fa3998c7e9be1e51683"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.3552",
    "kind": "arxiv",
    "version": 3
  }
}