Pith Number

pith:ETHMOKJ4

pith:2011:ETHMOKJ44GZ7LKJO44Q227VFB5

not attested not anchored not stored refs pending

The smallest Haken hyperbolic polyhedra

Christopher K. Atkinson, Shawn Rafalski

arxiv:1108.4621 v2 · 2011-08-23 · 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{ETHMOKJ44GZ7LKJO44Q227VFB5}

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	2026-05-18T04:03:55.793382Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24cec7293ce1b3f5a92ee721ad7ea50f57153abcefae9ac0fadf123b5bae494d

Aliases

arxiv: 1108.4621 · arxiv_version: 1108.4621v2 · doi: 10.48550/arxiv.1108.4621 · pith_short_12: ETHMOKJ44GZ7 · pith_short_16: ETHMOKJ44GZ7LKJO · pith_short_8: ETHMOKJ4

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/ETHMOKJ44GZ7LKJO44Q227VFB5 \
  | 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: 24cec7293ce1b3f5a92ee721ad7ea50f57153abcefae9ac0fadf123b5bae494d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc009fd3f229e13416f80e701282f12974e4be55d2ae7d8bcf6bc44ac7202ba0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-08-23T14:56:10Z",
    "title_canon_sha256": "b8880a554665f5f7a9444cdbe7351a88093ca90c9ecab70b0f9d7f1596f9ff1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.4621",
    "kind": "arxiv",
    "version": 2
  }
}