Pith Number

pith:H3DQDF2O

pith:2011:H3DQDF2OKO2YR6B5MYE3MAN6WD

not attested not anchored not stored refs pending

Small hyperbolic polyhedra

Shawn Rafalski

arxiv:1102.0322 v4 · 2011-02-01 · 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{H3DQDF2OKO2YR6B5MYE3MAN6WD}

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	2026-05-18T02:22:41.245230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec701974e53b588f83d6609b601beb0f76f1faa954a302fcd42b2d1a8cb3815

Aliases

arxiv: 1102.0322 · arxiv_version: 1102.0322v4 · doi: 10.48550/arxiv.1102.0322 · pith_short_12: H3DQDF2OKO2Y · pith_short_16: H3DQDF2OKO2YR6B5 · pith_short_8: H3DQDF2O

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/H3DQDF2OKO2YR6B5MYE3MAN6WD \
  | 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: 3ec701974e53b588f83d6609b601beb0f76f1faa954a302fcd42b2d1a8cb3815

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de9ba7e1e6a6a1703ad42b5b7c6a010ae995de80b21eb8f189c3b8c9900189b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-01T23:34:35Z",
    "title_canon_sha256": "2ddcd4b19cae2d7fd593638a060d931563cc2fc4d3ffcc98b875ecc6184b2cf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0322",
    "kind": "arxiv",
    "version": 4
  }
}