Pith Number

pith:ZU66ZQ7V

pith:2009:ZU66ZQ7V2PVVWD6AQMHNRHTVOT

not attested not anchored not stored refs pending

On volumes of hyperbolic orbifolds

Guofang Wei, Ilesanmi Adeboye

arxiv:0911.4712 v3 · 2009-11-24 · 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{ZU66ZQ7V2PVVWD6AQMHNRHTVOT}

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	2026-05-18T02:41:51.029596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3decc3f5d3eb5b0fc0830ed89e7574c7103ff7887a85b99da1a706faa3330e

Aliases

arxiv: 0911.4712 · arxiv_version: 0911.4712v3 · doi: 10.48550/arxiv.0911.4712 · pith_short_12: ZU66ZQ7V2PVV · pith_short_16: ZU66ZQ7V2PVVWD6A · pith_short_8: ZU66ZQ7V

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/ZU66ZQ7V2PVVWD6AQMHNRHTVOT \
  | 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: cd3decc3f5d3eb5b0fc0830ed89e7574c7103ff7887a85b99da1a706faa3330e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "006af0cf84333565903e0d5a920a0c0f1e1f47ef3863dde1f02975acfae0102a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-11-24T20:36:32Z",
    "title_canon_sha256": "5bc6de839de2ab488a0b3b4a4877406efc58fd3c8588ff112c7378a9129fa3c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4712",
    "kind": "arxiv",
    "version": 3
  }
}