Pith Number

pith:Z3WQNXZ4

pith:2019:Z3WQNXZ4VILCAG5POBOAD3H5PM

not attested not anchored not stored refs pending

Volume and Homology for Hyperbolic 3-Orbifolds

Peter B. Shalen

arxiv:1904.11850 v1 · 2019-04-24 · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3WQNXZ4VILCAG5POBOAD3H5PM}

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	2026-05-17T23:47:40.795887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceed06df3caa16201baf705c01ecfd7b3c2e87cadf6472ffb6c956b438b6a1f4

Aliases

arxiv: 1904.11850 · arxiv_version: 1904.11850v1 · doi: 10.48550/arxiv.1904.11850 · pith_short_12: Z3WQNXZ4VILC · pith_short_16: Z3WQNXZ4VILCAG5P · pith_short_8: Z3WQNXZ4

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/Z3WQNXZ4VILCAG5POBOAD3H5PM \
  | 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: ceed06df3caa16201baf705c01ecfd7b3c2e87cadf6472ffb6c956b438b6a1f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3603244da34132391c4d6c26a03176a60b3495761b3bf403009059873c2382b3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-04-24T20:33:47Z",
    "title_canon_sha256": "880c9d90bc1b2734970ca96517fd0813d8802f9f37ff04dadd80f1a7884748a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.11850",
    "kind": "arxiv",
    "version": 1
  }
}