Pith Number

pith:K2BPAFBC

pith:2012:K2BPAFBCZUVR273PGLYNUQZUGJ

not attested not anchored not stored refs pending

On volumes of complex hyperbolic orbifolds

Guofang Wei, Ilesanmi Adeboye

arxiv:1205.2011 v2 · 2012-05-09 · 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{K2BPAFBCZUVR273PGLYNUQZUGJ}

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	2026-05-18T03:06:05.712500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5682f01422cd2b1d7f6f32f0da4334326971f50232546b50f724358aa9d9c6e5

Aliases

arxiv: 1205.2011 · arxiv_version: 1205.2011v2 · doi: 10.48550/arxiv.1205.2011 · pith_short_12: K2BPAFBCZUVR · pith_short_16: K2BPAFBCZUVR273P · pith_short_8: K2BPAFBC

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/K2BPAFBCZUVR273PGLYNUQZUGJ \
  | 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: 5682f01422cd2b1d7f6f32f0da4334326971f50232546b50f724358aa9d9c6e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "339ff59ab35230ce9cfc5921762761f99a77c1193b84c88520043beeb549c8f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-05-09T15:10:57Z",
    "title_canon_sha256": "e06daead7667d970ba74d31dcc3cb7d043508c27d4515a4e1ccbcc6dc3cb377f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2011",
    "kind": "arxiv",
    "version": 2
  }
}