Pith Number

pith:GKLCWCVO

pith:2010:GKLCWCVOEMZ33KZ4742MZKM23G

not attested not anchored not stored refs pending

Strong convergence of Kleinian groups: the cracked eggshell

Cyril Lecuire, James W. Anderson

arxiv:1003.1843 v2 · 2010-03-09 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKLCWCVOEMZ33KZ4742MZKM23G}

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	2026-05-18T03:08:59.920018Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32962b0aae2333bdab3cff34cca99ad9a0c13c6e5e0d663b3040143f0eb30b37

Aliases

arxiv: 1003.1843 · arxiv_version: 1003.1843v2 · doi: 10.48550/arxiv.1003.1843 · pith_short_12: GKLCWCVOEMZ3 · pith_short_16: GKLCWCVOEMZ33KZ4 · pith_short_8: GKLCWCVO

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/GKLCWCVOEMZ33KZ4742MZKM23G \
  | 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: 32962b0aae2333bdab3cff34cca99ad9a0c13c6e5e0d663b3040143f0eb30b37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2372b906f35661376ed4f455c6c41e5f06fbd0c94bc56068a5772d0876e66a30",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-03-09T11:10:01Z",
    "title_canon_sha256": "d5b4f7e2c1c316b50c67bbe80871b52ef85bc5586405262e90286ddd78b551a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1843",
    "kind": "arxiv",
    "version": 2
  }
}